
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 628.0ms | 8 256× | 0 | valid |
| 156.0ms | 2 100× | 0 | invalid |
ival-mult: 274.0ms (51% of total)ival-exp: 68.0ms (12.7% of total)ival-sqrt: 66.0ms (12.3% of total)ival-div: 64.0ms (11.9% of total)ival-sub: 46.0ms (8.6% of total)exact: 8.0ms (1.5% of total)ival-true: 7.0ms (1.3% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 45.0ms | 512× | 0 | valid |
Compiled 207 to 64 computations (69.1% saved)
ival-mult: 13.0ms (49.4% of total)ival-div: 3.0ms (11.4% of total)ival-exp: 3.0ms (11.4% of total)ival-sqrt: 3.0ms (11.4% of total)ival-sub: 2.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 232 |
| 1 | 192 | 226 |
| 2 | 495 | 224 |
| 3 | 1536 | 224 |
| 4 | 4035 | 224 |
| 5 | 6477 | 224 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 36 | 16 |
| 2 | 58 | 16 |
| 3 | 115 | 16 |
| 4 | 246 | 16 |
| 5 | 375 | 16 |
| 6 | 507 | 16 |
| 7 | 817 | 16 |
| 8 | 1505 | 16 |
| 9 | 1943 | 16 |
| 10 | 2083 | 16 |
| 11 | 2101 | 16 |
| 12 | 2101 | 16 |
| 13 | 2121 | 16 |
| 14 | 2129 | 16 |
| 15 | 2129 | 16 |
| 0 | 2129 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(abs t)
Compiled 17 to 15 computations (11.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 36 | 60 |
| 2 | 58 | 60 |
| 3 | 115 | 60 |
| 4 | 246 | 60 |
| 5 | 375 | 60 |
| 6 | 507 | 60 |
| 7 | 817 | 60 |
| 8 | 1505 | 60 |
| 9 | 1943 | 60 |
| 10 | 2083 | 60 |
| 11 | 2101 | 60 |
| 12 | 2101 | 60 |
| 13 | 2121 | 60 |
| 14 | 2129 | 60 |
| 15 | 2129 | 60 |
| 0 | 2129 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 27.0ms | 256× | 0 | valid |
Compiled 126 to 32 computations (74.6% saved)
ival-mult: 7.0ms (40% of total)ival-exp: 6.0ms (34.3% of total)ival-sqrt: 2.0ms (11.4% of total)ival-sub: 1.0ms (5.7% of total)ival-div: 1.0ms (5.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | x | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | y | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (/ (* t t) 2) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 626 |
| 1 | 454 | 497 |
| 2 | 1579 | 446 |
| 3 | 4469 | 443 |
| 0 | 8855 | 431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(exp (* 1/2 (pow t 2))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* x (- (/ y x) 1/2))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 50 |
| 0 | 24 | 48 |
| 1 | 63 | 47 |
| 2 | 285 | 47 |
| 3 | 2343 | 47 |
| 0 | 8617 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)))))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))))) |
(+.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (*.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) |
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 t) t)) |
(*.f64 (neg.f64 t) (*.f64 t #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (neg.f64 t) t) #s(literal -1/2 binary64)) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal 2 binary64)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t)) #s(literal -2 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (/.f64 #s(literal 2 binary64) t)) |
(/.f64 (neg.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (pow.f64 t #s(literal -2 binary64)))) |
(/.f64 (neg.f64 t) (neg.f64 (/.f64 #s(literal 2 binary64) t))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 t t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) t) (*.f64 t #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -2 binary64)) |
(/.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(/.f64 t (/.f64 #s(literal 2 binary64) t)) |
(/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal -2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(neg.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 t t) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)) (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t))) |
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 (exp.f64 t) (exp.f64 t)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 t) t) (pow.f64 (exp.f64 t) t)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) (sqrt.f64 t)) (sqrt.f64 t)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) t))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) t)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1/2 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (*.f64 t #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal -1 binary64)) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) (*.f64 (neg.f64 t) t)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (E.f64) t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (E.f64) #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 (neg.f64 t))) t) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 t) t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 t t)) |
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1 binary64)) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 t)) (neg.f64 (neg.f64 t))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 t) (neg.f64 t)) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 t) (+.f64 (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 t #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) t))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 t) (/.f64 t #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t)) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 t))) t)) |
(exp.f64 (*.f64 (log.f64 (E.f64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 t) (neg.f64 t))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) z))) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) |
Compiled 16 643 to 1 899 computations (88.6% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 477 | 12 | 489 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 12 | 490 |
| Status | Accuracy | Program |
|---|---|---|
| 41.1% | (*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.7% | (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.4% | (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 99.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ▶ | 96.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 94.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 86.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 58.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 61.3% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 59.9% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ▶ | 89.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
| 93.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 728 to 528 computations (27.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 (sqrt.f64 z)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 434 |
| 0 | 84 | 428 |
| 1 | 148 | 425 |
| 2 | 286 | 425 |
| 3 | 892 | 425 |
| 4 | 2990 | 425 |
| 5 | 4988 | 425 |
| 0 | 8208 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
x |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(sqrt.f64 z) |
z |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y)) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | |
| accuracy | 0.203125 | (*.f64 (neg.f64 (sqrt.f64 z)) y) | |
| accuracy | 0.4482612793053261 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 32.49123962589666 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.04296875 | (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 4.01405206717644 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 0.46484375 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.9884248862042642 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 4.103471190591457 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) | |
| accuracy | 10.812882403106116 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| accuracy | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 29.576981871609693 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0 | (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 68.0ms | 256× | 0 | valid |
Compiled 808 to 93 computations (88.5% saved)
ival-mult: 21.0ms (49.7% of total)ival-add: 5.0ms (11.8% of total)ival-sqrt: 5.0ms (11.8% of total)ival-exp: 3.0ms (7.1% of total)const: 3.0ms (7.1% of total)ival-div: 2.0ms (4.7% of total)ival-neg: 2.0ms (4.7% of total)ival-sub: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* y (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(* 1/2 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (+ (* 1/2 x) (neg y)) (sqrt 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (/ (* t t) 2)) |
| 4.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (+ (* 1/2 x) (neg y)) (sqrt 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (/ (* t t) 2)) |
| 4.0ms | y | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (+ (* 1/2 x) (neg y)) (sqrt 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (/ (* t t) 2)) |
| 3.0ms | z | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (+ (* 1/2 x) (neg y)) (sqrt 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (/ (* t t) 2)) |
| 3.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (* (* t t) 1/2) (exp (* (* t t) 1/2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (* (+ (* 1/2 x) (neg y)) (sqrt 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (/ (* t t) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 1427 |
| 1 | 836 | 1232 |
| 2 | 2953 | 1103 |
| 0 | 8248 | 1061 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* y (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(* 1/2 (pow t 2)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(+ (* -1 (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) (sqrt.f64 z)) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* y (sqrt 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* 1/2 (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(* x (+ (* -1 (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)) (* 1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x) |
(* 1/2 (* x (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* -1 (* y (sqrt z))) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* y (+ (* -1 (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y)) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) x) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) y) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) |
(* (sqrt 2) (- (* 1/2 x) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(* 1/2 (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt 2) (- (* 1/2 x) y))) (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/48 (pow t 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(* 1/48 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/48 binary64)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal 1/8 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 297 |
| 0 | 84 | 289 |
| 1 | 240 | 285 |
| 2 | 1367 | 282 |
| 0 | 8467 | 282 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z))))) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(/.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))))) |
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(fma.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(+.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) |
(*.f64 (fma.f64 y y (*.f64 #s(literal -1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y)))) |
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))))) |
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal -1/2 binary64))) |
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 t t)))))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t)) (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 t t))))) (fma.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)))) |
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(fma.f64 (*.f64 (*.f64 t t) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64))) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (*.f64 t t) (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))) (pow.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal -1/2 binary64))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
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(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t)))) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t)) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 t #s(literal 1/2 binary64)) t) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 t t))) |
(*.f64 (*.f64 (neg.f64 t) t) #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t (*.f64 t #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 t #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 t t)) |
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 t #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 t t))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(/.f64 t (/.f64 #s(literal 2 binary64) t)) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 t t))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 t t))) #s(literal -1 binary64))) |
Compiled 31 092 to 2 483 computations (92% saved)
27 alts after pruning (25 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 743 | 24 | 767 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 752 | 27 | 779 |
| Status | Accuracy | Program |
|---|---|---|
| 58.5% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| ▶ | 52.5% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
| 25.9% | (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 96.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 58.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 99.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ▶ | 96.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 94.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 86.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 58.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 58.4% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 32.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 91.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 29.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.9% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 90.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 86.3% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) | |
| 89.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) | |
| 58.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 52.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) | |
| ▶ | 49.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
Compiled 1 840 to 1 361 computations (26% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x y) | |
| cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 128 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 607 |
| 0 | 112 | 594 |
| 1 | 202 | 594 |
| 2 | 405 | 592 |
| 3 | 1539 | 592 |
| 4 | 3786 | 592 |
| 5 | 5743 | 592 |
| 0 | 8106 | 582 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) x y) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 x x) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
#s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 (*.f64 t t) #s(literal 1/48 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
(*.f64 (*.f64 t t) #s(literal 1/48 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal -1/2 binary64) x y))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) x y)) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x)) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)))) |
(fma.f64 #s(literal 1/2 binary64) x y) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(*.f64 x x) |
#s(literal 1/4 binary64) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.272294371609691 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 1.9453063074906176 | (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) | |
| accuracy | 3.1432450939997265 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 9.319709160395465 | (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| accuracy | 0.0078125 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0.109375 | (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| accuracy | 0.21550751953688405 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 17.422555646635388 | #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 0.09375 | (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.09375 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.272294371609691 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 15.76567436180015 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 0.09375 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.10546875 | (*.f64 #s(literal 1/48 binary64) (*.f64 t t)) | |
| accuracy | 0.24173237519893498 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 32.26380924337642 | #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
| 45.0ms | 135× | 0 | valid |
| 40.0ms | 121× | 0 | exit |
Compiled 1 074 to 131 computations (87.8% saved)
ival-mult: 31.0ms (54.1% of total)ival-add: 7.0ms (12.2% of total)ival-sqrt: 6.0ms (10.5% of total)ival-div: 4.0ms (7% of total)const: 3.0ms (5.2% of total)ival-exp: 2.0ms (3.5% of total)ival-sub: 2.0ms (3.5% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) x y) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* y (+ 1 (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* 1/2 (* x (sqrt z))) |
(* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))))) |
y |
(+ y (* 1/2 x)) |
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) x) |
(* x (+ 1/2 (/ y x))) |
(* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (/ (+ (* -4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x))) x)) |
(* -1 (* x (- (* -1 (/ y x)) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (+ 1 (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (+ 1 (* 1/2 (pow t 2)))) y)))) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* -1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* -1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) y) |
(* y (+ 1 (* 1/2 (/ x y)))) |
(* (pow y 2) (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/4 (* (/ (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow y 2)) (sqrt z))))) |
(* (pow y 2) (- (* 1/4 (/ (pow x 2) (pow y 2))) 1)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ 1 (+ (* -1/2 (/ (* x (+ 1 (* 1/2 (pow t 2)))) y)) (* 1/2 (pow t 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (/ (+ (* 1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 1/4 (* (/ (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) y)) (* -1/2 (* (/ x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) y)) |
(* -1 (* y (- (* -1/2 (/ x y)) 1))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x)))) |
(* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (+ y (* 1/2 x))))) |
(* (sqrt (/ 1 z)) (/ (* (sqrt -1) (+ y (* 1/2 x))) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) |
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))))))) |
(* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(+ (* -1/2 (* (/ (* (pow t 2) (+ y (* 1/2 x))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (sqrt (/ 1 z)))) (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) (* (pow t 2) (+ (* -1 (* (sqrt (/ 1 z)) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (* -1 (* (* (pow t 2) (+ (* -1/2 (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (+ (* -1/16 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/48 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (sqrt (/ 1 z))))))))) |
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/48 (pow t 2)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(* 1/2 (* (pow t 2) (- (* 1/2 x) y))) |
(* (pow t 2) (- (+ (* 1/2 (- (* 1/2 x) y)) (* 1/2 (/ x (pow t 2)))) (/ y (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* 1/2 (pow t 2)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(exp (* 1/2 (pow t 2))) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | x | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (/ 1 (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))))) (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (* 1/48 (* t t)) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (* 1/2 x) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* x x) 1/4) (* (neg y) y))) |
| 8.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (/ 1 (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))))) (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (* 1/48 (* t t)) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (* 1/2 x) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* x x) 1/4) (* (neg y) y))) |
| 7.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (/ 1 (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))))) (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (* 1/48 (* t t)) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (* 1/2 x) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* x x) 1/4) (* (neg y) y))) |
| 6.0ms | x | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (/ 1 (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))))) (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (* 1/48 (* t t)) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (* 1/2 x) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* x x) 1/4) (* (neg y) y))) |
| 6.0ms | t | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (+ (* (* t t) 1/2) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (/ 1 (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))))) (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (+ (* 1/48 (* t t)) 1/8) (exp (/ (* t t) 2)) (* 1/48 (* t t)) (exp (/ (* t t) 2)) (sqrt (* 2 z)) (* 1/2 x) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (+ (* (* x x) 1/4) (* (neg y) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 554 | 3780 |
| 1 | 1911 | 3400 |
| 2 | 7446 | 3300 |
| 0 | 8279 | 3168 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
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(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
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(* 1/2 (* x (sqrt z))) |
(* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))))) |
y |
(+ y (* 1/2 x)) |
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
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(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
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(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) x) |
(* x (+ 1/2 (/ y x))) |
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(* -1 (* x (- (/ y x) 1/2))) |
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(* -1 (/ (+ (* -4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x))) x)) |
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(+ (* -1 y) (* 1/2 x)) |
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(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* -1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* -1/2 (* (/ x (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) y) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) y)) |
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(* -1 (* y (- (* -1/2 (/ x y)) 1))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(* (sqrt z) (sqrt 2)) |
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(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (/ (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (+ y (* 1/2 x))))) |
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(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
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(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
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(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))))))) |
(* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(+ (* -1/2 (* (/ (* (pow t 2) (+ y (* 1/2 x))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (sqrt (/ 1 z)))) (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) (* (pow t 2) (+ (* -1 (* (sqrt (/ 1 z)) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (* -1 (* (* (pow t 2) (+ (* -1/2 (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (+ (* -1/16 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/48 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (sqrt (/ 1 z))))))))) |
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(* 1/48 (pow t 2)) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(* 1/2 (* (pow t 2) (- (* 1/2 x) y))) |
(* (pow t 2) (- (+ (* 1/2 (- (* 1/2 x) y)) (* 1/2 (/ x (pow t 2)))) (/ y (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* 1/2 (pow t 2)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(exp (* 1/2 (pow t 2))) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* y (+ 1 (* 1/2 (pow t 2))))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y) |
(+ (* -1 (* y (+ 1 (* 1/2 (pow t 2))))) (* 1/2 (* x (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x) |
(* 1/2 (* x (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) |
(* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 y y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) x (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) |
(+ (* -1 (* (/ 1 (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 (/.f64 (/.f64 x y) y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) |
y |
(+ y (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x y) |
(* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 y y) (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* 1/4 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (fma.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (sqrt.f64 z) y) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x))) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* 1/2 (* x (+ 1 (* 1/2 (pow t 2))))) |
(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x) |
(* x (+ (* -1 (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)) (* 1/2 (+ 1 (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 (neg.f64 y) (/.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y) x)) x) |
(* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x) |
(/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 y x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal 2 binary64))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal 2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 y x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (+ (* 4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal 16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 8 binary64) (/.f64 (/.f64 (*.f64 (/.f64 y x) (/.f64 y x)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 y x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))))) x) |
(* x (+ 1/2 (/ y x))) |
(*.f64 (+.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) |
(* 1/4 (* (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow x 2) (+ (* -1 (* (/ (* (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (pow x 2)) (sqrt z))) (* 1/4 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 y x) (/.f64 y x))))) (*.f64 x x)) |
(* 1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/4 (* -1 (/ (pow y 2) (pow x 2))))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 y x) (/.f64 y x))) (*.f64 x x)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1/2 (+ 1 (* 1/2 (pow t 2)))) (/ (* y (+ 1 (* 1/2 (pow t 2)))) x)))) |
(*.f64 (neg.f64 x) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 y x) (fma.f64 #s(literal -1/4 binary64) (*.f64 t t) #s(literal -1/2 binary64)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x)) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/4 binary64) (*.f64 t t) #s(literal -1/2 binary64))))) |
(* -1 (/ (+ (* -4 (* (/ y (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) x)) |
(/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 (/.f64 y x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -2 binary64))) (neg.f64 x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) x))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 8 binary64) (*.f64 (/.f64 (/.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)) (*.f64 #s(literal 4 binary64) (/.f64 (/.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) (neg.f64 x))) (neg.f64 x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (* (exp (* 1/2 (pow t 2))) (sqrt 2))))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt (/ 1 z))))) x))) x)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -2 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (/.f64 (/.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal -8 binary64) (*.f64 y (/.f64 (/.f64 y (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (*.f64 #s(literal -16 binary64) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) (neg.f64 x))) x)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ y x)) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1/2 binary64) (/.f64 y x))) |
(+ (* -1 y) (* 1/2 x)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 4 binary64) (/.f64 (/.f64 (/.f64 (/.f64 y x) x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 #s(literal 8 binary64) (/.f64 (/.f64 (/.f64 y (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) y)) |
(+ (* 2 (* (/ 1 (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (sqrt (/ 1 z))))))))) |
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(* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 z)) |
(+ (* 1/2 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/8 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)))) (*.f64 t t) (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (sqrt.f64 z))) |
(+ (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x))))) (* (pow t 2) (+ (* 1/48 (* (/ (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (+ y (* 1/2 x))) (sqrt z))) (* 1/8 (* (sqrt z) (/ (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))) (+ y (* 1/2 x)))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 t t) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/2 binary64) x y)))))) |
(* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1/2 (* (/ (* (pow t 2) (+ y (* 1/2 x))) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) |
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1 (* (* (pow t 2) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (sqrt (/ 1 z)))) (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (neg.f64 (*.f64 t t)) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1/8 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* -1/2 (* (sqrt (/ 1 z)) (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))) (* (pow t 2) (+ (* -1 (* (sqrt (/ 1 z)) (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (* -1 (* (* (pow t 2) (+ (* -1/2 (+ (* -1/4 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/8 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))))) (+ (* -1/16 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* 1/48 (/ (+ y (* 1/2 x)) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 t t)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/8 binary64) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) #s(literal -1/24 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t))))))) |
(* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) t) t) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2)))))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (+ (* -1 (pow y 2)) (* 1/4 (pow x 2))))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) t) t) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(literal 2 binary64))))))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(* 1/48 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/48 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* (pow t 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64)) (*.f64 t t)) |
(* (pow t 2) (- (+ (* 1/2 (- (* 1/2 x) y)) (* 1/2 (/ x (pow t 2)))) (/ y (pow t 2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 1/2 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) t) t)) (*.f64 t t)) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) t)) (sqrt.f64 z))) (*.f64 t t)) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(* (pow t 2) (+ 1/2 (/ 1 (pow t 2)))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t)) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) (*.f64 t t)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) t) t) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (*.f64 t t)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 452 |
| 0 | 112 | 441 |
| 1 | 331 | 419 |
| 2 | 1989 | 419 |
| 0 | 8475 | 416 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(fma.f64 #s(literal 1/2 binary64) x y) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
| Outputs |
|---|
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(/.f64 (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal -1 binary64))) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/2 binary64) x y)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64))) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (neg.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64) (pow.f64 y #s(literal 6 binary64))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1/2 binary64)) x (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/2 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/2 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) x) (*.f64 (neg.f64 y) y)) |
(fma.f64 (neg.f64 y) y (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(fma.f64 y (neg.f64 y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 x (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) y)) |
(fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(fma.f64 x (*.f64 #s(literal 1/4 binary64) x) (*.f64 (neg.f64 y) y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/16 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 x x) (*.f64 y y)))) |
(-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 y y)) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 (neg.f64 y) y)) |
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) |
Compiled 42 237 to 3 604 computations (91.5% saved)
34 alts after pruning (30 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 842 | 21 | 863 |
| Fresh | 11 | 9 | 20 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 856 | 34 | 890 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 58.5% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 61.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) | |
| 55.5% | (*.f64 (*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ▶ | 94.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| ✓ | 96.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| ✓ | 58.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 31.9% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.9% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| ▶ | 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 32.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 57.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 86.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
| 89.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| 89.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) | |
| 86.3% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 41.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 50.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 58.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 52.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) | |
| 49.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) | |
| ▶ | 29.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) | |
| 28.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
Compiled 2 573 to 1 875 computations (27.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 128 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 960 | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| cost-diff | 0 | (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 540 |
| 0 | 107 | 531 |
| 1 | 194 | 529 |
| 2 | 386 | 529 |
| 3 | 1265 | 529 |
| 4 | 4198 | 529 |
| 5 | 7045 | 529 |
| 0 | 8241 | 528 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x)) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
#s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
#s(literal 1/2 binary64) |
x |
(neg.f64 y) |
y |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x y)) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 0.16796875 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 4.01405206717644 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 33.09893473358542 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0.01953125 | (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| accuracy | 0.19921875 | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| accuracy | 29.576981871609693 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 1.2898562988462536 | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 1.6860830058288747 | (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 10.812882403106116 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) | |
| accuracy | 4.244711258857811 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 10.812882403106116 | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 27.997843517728313 | #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 29.268492488130466 | #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.0546875 | (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.16796875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 5.940643871125788 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 79.0ms | 256× | 0 | valid |
Compiled 952 to 123 computations (87.1% saved)
ival-mult: 28.0ms (51.5% of total)ival-add: 7.0ms (12.9% of total)ival-sqrt: 6.0ms (11% of total)ival-div: 4.0ms (7.4% of total)const: 4.0ms (7.4% of total)ival-exp: 2.0ms (3.7% of total)ival-sub: 2.0ms (3.7% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* 1/2 (* x (sqrt z))) |
(/ -1 y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(/ 2 x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* 1/2 x) (neg y)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z)))) (+ (* 1/2 x) (neg y)) (neg y) (/ (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (sqrt (* z 2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 3.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* 1/2 x) (neg y)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z)))) (+ (* 1/2 x) (neg y)) (neg y) (/ (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (sqrt (* z 2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 3.0ms | z | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* 1/2 x) (neg y)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z)))) (+ (* 1/2 x) (neg y)) (neg y) (/ (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (sqrt (* z 2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 3.0ms | x | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* 1/2 x) (neg y)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z)))) (+ (* 1/2 x) (neg y)) (neg y) (/ (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (sqrt (* z 2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 3.0ms | x | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (+ (* 1/2 x) (neg y)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z)))) (+ (* 1/2 x) (neg y)) (neg y) (/ (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (/ 1 (- (* 1/2 x) y))) (/ 1 (- (* 1/2 x) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (exp (/ (* t t) 2)) (+ (* (+ (* (* t t) 1/8) 1/2) (* t t)) 1) (sqrt (* z 2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (sqrt (* 2 z)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 1711 |
| 1 | 1230 | 1578 |
| 2 | 4175 | 1438 |
| 0 | 8299 | 1368 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(* 1/2 (* x (sqrt z))) |
(/ -1 y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(/ 2 x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(sqrt 2) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* -1 (* (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) (* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* 1/2 (* (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* 1/2 (* x (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (* -1/2 (/ x (pow y 2))) (/ 1 y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) |
(- (* x (- (* -1/4 (/ x (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal -1/4 binary64))) y) #s(literal 1 binary64)) y) |
(- (* x (- (* x (- (* -1/8 (/ x (pow y 4))) (* 1/4 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) #s(literal -1/8 binary64) (/.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (/.f64 #s(literal -1/2 binary64) (*.f64 y y))) x (/.f64 #s(literal -1 binary64) y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* x (+ (* -1 (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(/ 2 x) |
(/.f64 #s(literal 2 binary64) x) |
(/ (+ 2 (* 4 (/ y x))) x) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 8 (/ (pow y 2) (pow x 2)))) (* -4 (/ y x))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 (*.f64 y (/.f64 y x)) #s(literal 8 binary64))) x) #s(literal 2 binary64)) x) |
(/ (- (+ 2 (* 16 (/ (pow y 3) (pow x 3)))) (+ (* -8 (/ (pow y 2) (pow x 2))) (* -4 (/ y x)))) x) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 16 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 (*.f64 y (/.f64 y x)) #s(literal 8 binary64))) x) #s(literal 2 binary64))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* (/ (* y (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 y x))))) |
(* -1 (/ (- (* -4 (/ y x)) 2) x)) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow y 2) x)) (* -4 y)) x)) 2) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) y (*.f64 (*.f64 y (/.f64 y x)) #s(literal 8 binary64))) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -16 (/ (pow y 3) x)) (* 8 (pow y 2))) x)) (* -4 y)) x)) 2) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -4 binary64) y (/.f64 (fma.f64 #s(literal -8 binary64) (*.f64 y y) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal -16 binary64))) x))) x) #s(literal 2 binary64)) x) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(+ (* 4 (/ y (pow x 2))) (* 2 (/ 1 x))) |
(/.f64 (fma.f64 (/.f64 y x) #s(literal 4 binary64) #s(literal 2 binary64)) x) |
(+ (* y (+ (* 8 (/ y (pow x 3))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y (/.f64 #s(literal 4 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) |
(+ (* y (+ (* y (+ (* 16 (/ y (pow x 4))) (* 8 (/ 1 (pow x 3))))) (* 4 (/ 1 (pow x 2))))) (* 2 (/ 1 x))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 4 binary64))) #s(literal 16 binary64) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y (/.f64 #s(literal 4 binary64) (*.f64 x x))) y (/.f64 #s(literal 2 binary64) x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* y (+ (* -1 (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (* 1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(/ (- (* -1/2 (/ x y)) 1) y) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) |
(/ (- (* -1/4 (/ (pow x 2) (pow y 2))) (+ 1 (* 1/2 (/ x y)))) y) |
(/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal -1/4 binary64))) y) #s(literal 1 binary64)) y) |
(/ (- (* -1/8 (/ (pow x 3) (pow y 3))) (+ 1 (+ (* 1/4 (/ (pow x 2) (pow y 2))) (* 1/2 (/ x y))))) y) |
(/.f64 (fma.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal -1/8 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x (/.f64 x (*.f64 y y))) #s(literal 1/4 binary64) (*.f64 (/.f64 x y) #s(literal 1/2 binary64))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) y) (sqrt z))) (* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 y)) |
(* -1 (/ (+ 1 (* 1/2 (/ x y))) y)) |
(/.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1/4 (/ (pow x 2) y)) (* 1/2 x)) y))) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x (*.f64 (*.f64 x (/.f64 x y)) #s(literal -1/4 binary64))) y)) (neg.f64 y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (pow x 3) y)) (* -1/4 (pow x 2))) y)) (* 1/2 x)) y))) y)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/8 binary64))) y))) y) #s(literal -1 binary64)) y) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2)))))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (* (+ 1 (* 1/2 (pow t 2))) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (+ 1 (* 1/2 (pow t 2))))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(sqrt 2) |
(sqrt.f64 #s(literal 2 binary64)) |
(+ (sqrt 2) (* 1/2 (* (pow t 2) (sqrt 2)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (/ (* (sqrt 2) (- (* 1/2 x) y)) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)) |
(* 1/4 (* (* (pow t 2) (* x (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64)))) |
(* (pow t 2) (+ (* 1/4 (* (* x (sqrt 2)) (sqrt z))) (* 1/2 (* (/ (* x (sqrt 2)) (pow t 2)) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 t t)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) t) (/.f64 x t) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/8 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1 binary64)) |
(* 1/2 (* (pow t 2) (sqrt 2))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) t) t) |
(* (pow t 2) (+ (* 1/2 (sqrt 2)) (/ (sqrt 2) (pow t 2)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) (*.f64 t t)) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t)) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (*.f64 t t)) |
(* 1/48 (pow t 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 421 |
| 0 | 107 | 412 |
| 1 | 329 | 406 |
| 2 | 1990 | 406 |
| 0 | 8212 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(neg.f64 y) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal -1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 z) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 #s(literal 1/2 binary64) x y))))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (sqrt.f64 z) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) (-.f64 (neg.f64 y) (*.f64 #s(literal 1/2 binary64) x)))))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64))) (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 z) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 z) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 z) #s(literal 1 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 z) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 z) (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)))))) |
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(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal 1/64 binary64))) (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))) |
(/.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64))) (neg.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))) (neg.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))))) |
(/.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) |
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)) (+.f64 #s(literal 1/64 binary64) (-.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (*.f64 (*.f64 t t) #s(literal 1/384 binary64))))) |
(/.f64 (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))) (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) #s(literal -1/64 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 t t) #s(literal 1/384 binary64)))) (fma.f64 #s(literal 1/110592 binary64) (pow.f64 t #s(literal 6 binary64)) #s(literal 1/512 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 t (*.f64 #s(literal 1/48 binary64) t) #s(literal 1/8 binary64)) |
(-.f64 (/.f64 #s(literal 1/64 binary64) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t)))) (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)))) |
(+.f64 (*.f64 #s(literal 1/48 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) |
(+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) |
Compiled 25 415 to 2 243 computations (91.2% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 595 | 11 | 606 |
| Fresh | 5 | 20 | 25 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 602 | 38 | 640 |
| Status | Accuracy | Program |
|---|---|---|
| 29.4% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) | |
| 31.9% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) | |
| 58.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) | |
| 95.1% | (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| ✓ | 99.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ✓ | 96.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 94.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| ✓ | 58.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 31.9% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 31.9% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 57.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| ✓ | 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 56.3% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.1% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 32.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 55.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 57.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 91.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 86.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
| 37.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) | |
| 41.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 52.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 50.8% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 58.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) | |
| 50.7% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) | |
| 52.0% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) | |
| 49.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) | |
| 51.9% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) | |
| 29.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 29.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) | |
| ✓ | 29.4% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
| 50.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) | |
| 29.2% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) | |
| 28.1% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
Compiled 4 221 to 1 489 computations (64.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (pow.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(literal -1 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (+ (* 1/2 x) y) (* (+ (* (* x x) 1/4) (* (neg y) y)) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))))) (/.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
13 calls:
| 17.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 17.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 17.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 17.0ms | y |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | z |
| 99.9% | 1 | t |
| 99.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.9% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 z)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (sqrt.f64 z) (*.f64 t t)))) (*.f64 t t)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) x)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
13 calls:
| 15.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 15.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 15.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 15.0ms | z |
| 15.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | x |
| 96.5% | 1 | y |
| 96.5% | 1 | z |
| 96.5% | 1 | t |
| 96.5% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 96.5% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.5% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.5% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.5% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.5% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.5% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.5% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
13 calls:
| 13.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 13.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 12.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 12.0ms | x |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.5% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 96.5% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 96.5% | 1 | x |
| 96.5% | 1 | y |
| 96.5% | 1 | z |
| 96.5% | 1 | t |
| 96.5% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 96.5% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 96.5% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 96.5% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 96.5% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 96.5% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 96.5% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x y)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 14.0ms | (*.f64 z #s(literal 2 binary64)) |
| 12.0ms | z |
| 12.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 12.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 12.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.1% | 1 | x |
| 95.1% | 1 | y |
| 95.1% | 1 | z |
| 95.1% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 95.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.1% | 1 | t |
| 95.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.1% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
13 calls:
| 11.0ms | x |
| 11.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 11.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 11.0ms | z |
| 11.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | y |
| 94.7% | 1 | z |
| 94.7% | 1 | t |
| 94.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 94.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 94.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 94.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 94.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 94.7% | 1 | (*.f64 t t) |
| 94.7% | 1 | x |
| 94.7% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 94.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 94.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) #s(approx (* (* x (* (sqrt z) 1/2)) (* (+ (* (* t t) 1/2) 1) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64))) x)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (sqrt (* 2 z))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64))) y))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y))) (sqrt.f64 z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt (* 2 z))) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 10.0ms | y |
| 10.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 10.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 10.0ms | t |
| 10.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.1% | 1 | y |
| 90.1% | 1 | z |
| 90.1% | 1 | t |
| 90.1% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 90.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 90.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 90.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 90.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 90.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.1% | 1 | (*.f64 t t) |
| 90.1% | 1 | x |
| 90.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 90.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 5.0ms | z |
| 5.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 5.0ms | (*.f64 z #s(literal 2 binary64)) |
| 5.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 5.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.4% | 3 | y |
| 74.6% | 3 | x |
| 66.5% | 4 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 65.3% | 4 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 74.6% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 63.7% | 4 | z |
| 90.1% | 2 | t |
| 84.8% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 63.7% | 4 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 63.7% | 4 | (*.f64 z #s(literal 2 binary64)) |
| 90.1% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 90.1% | 2 | (*.f64 t t) |
| 90.1% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (/ 1 (- (* 1/2 x) y)) (/.f64 #s(literal 2 binary64) x))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
5 calls:
| 4.0ms | t |
| 4.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 4.0ms | (*.f64 t t) |
| 4.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 3.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.1% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 79.5% | 2 | t |
| 78.8% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 79.5% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 79.5% | 2 | (*.f64 t t) |
Compiled 32 to 39 computations (-21.9% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
4 calls:
| 2.0ms | t |
| 2.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 2.0ms | (*.f64 t t) |
| 2.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.6% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 75.0% | 2 | t |
| 75.0% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 75.0% | 2 | (*.f64 t t) |
Compiled 15 to 24 computations (-60% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64)))))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) x))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) #s(approx (* (* (+ (* (* t t) 1/2) 1) (* (+ (* 1/2 x) (neg y)) (sqrt 2))) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 x #s(approx (* (+ (* (* t t) 1/2) 1) (sqrt 2)) (sqrt.f64 #s(literal 2 binary64))))))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
13 calls:
| 2.0ms | x |
| 2.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.6% | 1 | z |
| 58.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 58.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 58.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 58.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 58.6% | 1 | y |
| 58.6% | 1 | x |
| 58.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 58.6% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 58.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 58.6% | 1 | t |
| 58.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 58.6% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
13 calls:
| 1.0ms | (*.f64 z #s(literal 2 binary64)) |
| 1.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 1.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 1.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 1.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 32.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 32.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 32.0% | 1 | (*.f64 t t) |
| 32.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 32.0% | 1 | x |
| 32.0% | 1 | z |
| 32.0% | 1 | t |
| 32.0% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 32.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 32.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 32.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 32.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 32.0% | 1 | y |
Compiled 60 to 88 computations (-46.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000000000000462 | +inf |
Compiled 20 to 23 computations (-15% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.8396850302120804e+56 | 2.8132366259519084e+56 |
| 5.0ms | 64× | 0 | valid |
Compiled 268 to 226 computations (15.7% saved)
ival-mult: 1.0ms (33.3% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 2.277502600210227e+69 | 1.5980993624222775e+94 |
| 12.0ms | 176× | 0 | valid |
Compiled 702 to 583 computations (17% saved)
ival-mult: 4.0ms (50.7% of total)ival-sub: 1.0ms (12.7% of total)ival-div: 1.0ms (12.7% of total)ival-exp: 1.0ms (12.7% of total)ival-sqrt: 1.0ms (12.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 436 |
| 1 | 130 | 436 |
| 2 | 133 | 436 |
| 3 | 134 | 436 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000008310336636449409737310516586697384263680 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000004096594664588964448671612036602103416598011020407542981990321500454912 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 #s(approx (+ (* (* t t) 1/2) 1) (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000008310336636449409737310516586697384263680 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000008310336636449409737310516586697384263680 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 t t) #s(literal 1/2 binary64)) x)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000004096594664588964448671612036602103416598011020407542981990321500454912 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(if (<=.f64 (*.f64 t t) #s(literal 280000000000000004096594664588964448671612036602103416598011020407542981990321500454912 binary64)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 #s(approx (* (+ (* (* t t) 1/2) 1) (- (* 1/2 x) y)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 297 |
| 0 | 84 | 289 |
| 1 | 240 | 285 |
| 2 | 1367 | 282 |
| 0 | 8467 | 282 |
| 0 | 554 | 3780 |
| 1 | 1911 | 3400 |
| 2 | 7446 | 3300 |
| 0 | 8279 | 3168 |
| 0 | 240 | 1427 |
| 1 | 836 | 1232 |
| 2 | 2953 | 1103 |
| 0 | 8248 | 1061 |
| 0 | 136 | 626 |
| 1 | 454 | 497 |
| 2 | 1579 | 446 |
| 3 | 4469 | 443 |
| 0 | 8855 | 431 |
| 0 | 68 | 421 |
| 0 | 107 | 412 |
| 1 | 329 | 406 |
| 2 | 1990 | 406 |
| 0 | 8212 | 406 |
| 0 | 15 | 50 |
| 0 | 24 | 48 |
| 1 | 63 | 47 |
| 2 | 285 | 47 |
| 3 | 2343 | 47 |
| 0 | 8617 | 47 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 929 to 506 computations (45.5% saved)
(abs t)
Compiled 1 250 to 528 computations (57.8% saved)
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