
Time bar (total: 7.3s)
| 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)
| 626.0ms | 8 256× | 0 | valid |
| 160.0ms | 2 119× | 0 | invalid |
ival-mult: 268.0ms (50.2% of total)ival-exp: 72.0ms (13.5% of total)ival-sqrt: 65.0ms (12.2% of total)ival-div: 60.0ms (11.2% of total)ival-sub: 47.0ms (8.8% of total)exact: 10.0ms (1.9% of total)ival-true: 8.0ms (1.5% of total)ival-assert: 4.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 9 | (-3.8004577020446786e+243 9.980371684326236e-286 4.30781583570002e+222 -5.2900504820883653e+169) | 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 | - | (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 | - | #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 |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.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)))) | n*o | 9 | 0 |
*.f64 | (*.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)))) | u*o | 1 | 0 |
| ↳ | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | underflow | 2 | |
| ↳ | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | overflow | 114 | |
| ↳ | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | overflow | 61 | |
| ↳ | (*.f64 t t) | overflow | 61 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 0 |
| - | 9 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 9 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 269 to 104 computations (61.3% saved)
ival-mult: 14.0ms (49% of total)ival-exp: 4.0ms (14% of total)ival-div: 3.0ms (10.5% of total)ival-sqrt: 3.0ms (10.5% of total)ival-sub: 2.0ms (7% of total)exact: 1.0ms (3.5% of total)ival-true: 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 |
|---|---|---|
| ▶ | 99.5% | (*.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 | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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)))) |
| 29.0ms | 256× | 0 | valid |
Compiled 126 to 32 computations (74.6% saved)
ival-mult: 8.0ms (48.1% of total)ival-div: 2.0ms (12% of total)ival-exp: 2.0ms (12% of total)ival-sqrt: 2.0ms (12% of total)ival-sub: 1.0ms (6% 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)) |
(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 |
(+ 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 | @ | -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) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 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) (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) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 2.0ms | 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) (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) (exp (/ (* t t) 2)) (sqrt (* z 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 621 |
| 1 | 454 | 492 |
| 2 | 1579 | 441 |
| 3 | 4469 | 438 |
| 0 | 8855 | 426 |
| 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 |
(+ 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 |
#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 | 45 |
| 0 | 24 | 43 |
| 1 | 63 | 42 |
| 2 | 285 | 42 |
| 3 | 2343 | 42 |
| 0 | 8617 | 42 |
| 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)) |
(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))))))) |
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(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(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 (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 15 723 to 1 742 computations (88.9% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 428 | 15 | 443 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 429 | 15 | 444 |
| Status | Accuracy | Program |
|---|---|---|
| 67.7% | (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.3% | (*.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 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) |
| 99.2% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.3% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) | |
| ▶ | 99.5% | (*.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)))) |
| 96.1% | (*.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)))) | |
| ▶ | 93.9% | (*.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)))) |
| 87.1% | (*.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)))) | |
| ▶ | 62.9% | (*.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))) |
| 99.2% | (*.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)))) | |
| 88.3% | #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))) | |
| 94.4% | #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 724 to 582 computations (19.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) | |
| cost-diff | 0 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| cost-diff | 0 | (*.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)))) | |
| cost-diff | 1664 | (/.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)))) | |
| 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)))) | |
| 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(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | (*.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 371 |
| 0 | 74 | 359 |
| 1 | 134 | 355 |
| 2 | 233 | 355 |
| 3 | 497 | 355 |
| 4 | 1203 | 355 |
| 5 | 1985 | 355 |
| 6 | 2632 | 355 |
| 7 | 3680 | 355 |
| 8 | 4435 | 355 |
| 9 | 5152 | 355 |
| 10 | 5610 | 355 |
| 11 | 5738 | 355 |
| 12 | 5750 | 355 |
| 13 | 5750 | 355 |
| 14 | 5786 | 355 |
| 15 | 5786 | 355 |
| 16 | 5786 | 355 |
| 17 | 7114 | 355 |
| 18 | 7722 | 355 |
| 19 | 7722 | 355 |
| 20 | 7722 | 355 |
| 21 | 7722 | 355 |
| 22 | 7722 | 355 |
| 0 | 7722 | 354 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) |
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) |
#s(literal 2 binary64) |
(pow.f64 (exp.f64 t) t) |
(exp.f64 t) |
t |
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 (*.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) |
(*.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 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(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 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t 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)))) (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 #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 #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)))) |
#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))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(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 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z))) |
(*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) |
(sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) |
(*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) |
(*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (exp.f64 t) t) |
(exp.f64 t) |
t |
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 (neg.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x 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) |
(*.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 #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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.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 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x 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(literal 1/8 binary64) (*.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 (*.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 (fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t 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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.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 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x 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))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.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 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(/.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)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
#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))) |
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) x 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 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(sqrt.f64 (pow.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 | 0.17578125 | (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) | |
| accuracy | 0.2578104358302058 | (*.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)))) | |
| accuracy | 0.28125 | (/.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)))) | |
| accuracy | 0.8111251125776329 | (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0 | (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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)))) | |
| accuracy | 0.05859375 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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)))) | |
| accuracy | 5.730056969825774 | #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))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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))) | |
| accuracy | 27.829705135576333 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0 | (exp.f64 t) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) | |
| accuracy | 0.0859375 | (*.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))) |
| 82.0ms | 256× | 0 | valid |
Compiled 719 to 83 computations (88.5% saved)
ival-mult: 24.0ms (46% of total)ival-exp: 6.0ms (11.5% of total)ival-div: 5.0ms (9.6% of total)ival-sqrt: 5.0ms (9.6% of total)ival-pow: 5.0ms (9.6% of total)ival-sub: 3.0ms (5.7% of total)ival-add: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.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 (*.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)) |
(*.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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(/.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)))) |
(*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) |
(exp.f64 t) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(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))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -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 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 z))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y 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))))) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -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 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 z))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z))))) x))) x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 z))))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* 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))))) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x 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 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 z)))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 z))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (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)) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -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)))) |
(* (sqrt (/ 1 z)) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(+ (* 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) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 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))))))) |
(+ (* (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))))))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
1 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(+ 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 t) |
(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))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | z | @ | 0 | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) |
| 12.0ms | z | @ | -inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) |
| 11.0ms | z | @ | inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) |
| 10.0ms | x | @ | 0 | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) |
| 5.0ms | x | @ | inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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))) (exp (* (* t t) 1/2))) (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (* (/ 1 (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) (exp (/ (* t t) 2))) (* (sqrt (* 2 z)) (- (* 1/2 x) y)) (sqrt (* 2 z)) (* (* 2 (pow (exp t) t)) z) (exp t) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (exp (* (* t t) 1/2)) (/ 1 (* (sqrt (* 2 z)) (- (* 1/2 x) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 2124 |
| 1 | 1403 | 1883 |
| 2 | 4912 | 1828 |
| 0 | 8734 | 1757 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -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 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/2 (* (/ x (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ x (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) |
(+ (* -1 (* (/ 1 (* y (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/2 (* (/ 1 (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* x (+ (* -1/4 (* (/ 1 (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ x (* (pow y 4) (sqrt 2))) (sqrt (/ 1 z))))))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y 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))))) |
(* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))))) x) |
(/ (+ (* 2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* 4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (+ (* 8 (* (/ (pow y 2) (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ (pow y 3) (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -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 (/ (+ (* -4 (* (/ y (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2))))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z)))) (* 8 (* (/ (pow y 2) (* x (sqrt 2))) (sqrt (/ 1 z))))) x))) x)) |
(* -1 (/ (+ (* -2 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1 (/ (+ (* -1 (/ (+ (* -16 (* (/ (pow y 3) (* x (sqrt 2))) (sqrt (/ 1 z)))) (* -8 (* (/ (pow y 2) (sqrt 2)) (sqrt (/ 1 z))))) x)) (* 4 (* (/ y (sqrt 2)) (sqrt (/ 1 z))))) x))) x)) |
(+ (* -1 y) (* 1/2 x)) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* 4 (* (/ y (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* 8 (* (/ y (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z))))))) |
(+ (* 2 (* (/ 1 (* x (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 4 (* (/ 1 (* (pow x 2) (sqrt 2))) (sqrt (/ 1 z)))) (* y (+ (* 8 (* (/ 1 (* (pow x 3) (sqrt 2))) (sqrt (/ 1 z)))) (* 16 (* (/ y (* (pow x 4) (sqrt 2))) (sqrt (/ 1 z))))))))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* 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))))) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))))) y) |
(/ (+ (* -1 (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) (+ (* -1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (+ (* -1/4 (* (/ (pow x 2) (* (pow y 2) (sqrt 2))) (sqrt (/ 1 z)))) (* -1/8 (* (/ (pow x 3) (* (pow y 3) (sqrt 2))) (sqrt (/ 1 z))))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x 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 (/ (+ (* 1/2 (* (/ x (* y (sqrt 2))) (sqrt (/ 1 z)))) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z)))) (* -1/4 (* (/ (pow x 2) (* y (sqrt 2))) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (/ (pow x 3) (* y (sqrt 2))) (sqrt (/ 1 z)))) (* 1/4 (* (/ (pow x 2) (sqrt 2)) (sqrt (/ 1 z))))) y)) (* -1/2 (* (/ x (sqrt 2)) (sqrt (/ 1 z))))) y)) (* (sqrt (/ 1 z)) (/ 1 (sqrt 2)))) y)) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (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)) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt (/ 1 z)) (/ 1 (* (sqrt 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -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)))) |
(* (sqrt (/ 1 z)) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(+ (* 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) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 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))))))) |
(+ (* (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))))))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
1 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(+ 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 t) |
(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))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) 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 (* (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))) |
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(*.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) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z))) |
(* (sqrt (/ 1 z)) (/ (sqrt -1) (* (sqrt -2) (- (* 1/2 x) y)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (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 #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)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64)) (*.f64 t t))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (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 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64)))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/6 binary64) z)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)))) #s(literal 1/2 binary64)))) |
(+ (* (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 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 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 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (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 #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 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) z)) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z))) |
1 |
#s(literal 1 binary64) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) t #s(literal 1 binary64)) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) t #s(literal 1 binary64)) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #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 t) |
(exp.f64 t) |
(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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 233 |
| 0 | 74 | 216 |
| 1 | 225 | 215 |
| 2 | 943 | 215 |
| 0 | 8310 | 215 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.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 (*.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)) |
(*.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)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(/.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)))) |
(*.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 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) z) |
(exp.f64 t) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(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))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64))))) (sqrt.f64 z)) |
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(*.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1/2 binary64)))) |
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(/.f64 (*.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 (neg.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 x #s(literal 1/2 binary64))))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (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)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 6 binary64)) (pow.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (-.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 (pow.f64 z #s(literal -1/2 binary64)) #s(literal 1 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) |
(/.f64 (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) |
(/.f64 (pow.f64 #s(literal 2 binary64) #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 z) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (pow.f64 z #s(literal -1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (pow.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(/.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))))) |
(fma.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))))) |
(+.f64 (*.f64 y (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))))) |
(+.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) y) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (*.f64 (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)) (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y)) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) y) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y y))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
Compiled 50 116 to 4 010 computations (92% saved)
23 alts after pruning (22 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 476 | 19 | 1 495 |
| Fresh | 7 | 3 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 487 | 23 | 1 510 |
| Status | Accuracy | Program |
|---|---|---|
| 49.7% | (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 93.9% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| ▶ | 99.7% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
| 93.2% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z)))))) | |
| 86.6% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) | |
| ▶ | 62.9% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| 87.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) | |
| 93.7% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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))))) | |
| 62.7% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| 62.6% | (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 96.1% | (*.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)))) |
| ✓ | 93.9% | (*.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)))) |
| ▶ | 87.1% | (*.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)))) |
| 95.1% | (*.f64 (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) | |
| 95.4% | (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 95.1% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) | |
| 61.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 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))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.6% | (*.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)) #s(literal 1 binary64))) | |
| ▶ | 61.1% | (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 35.8% | (*.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))) | |
| 62.3% | (*.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)) #s(literal 1 binary64))) | |
| 88.3% | #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))) |
Compiled 1 287 to 1 024 computations (20.4% saved)
| 1× | egg-herbie |
Found 20 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)))) #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 | (*.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))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 478 |
| 0 | 95 | 472 |
| 1 | 161 | 472 |
| 2 | 265 | 472 |
| 3 | 528 | 472 |
| 4 | 1002 | 472 |
| 5 | 1367 | 472 |
| 6 | 1636 | 472 |
| 7 | 2352 | 472 |
| 8 | 3542 | 472 |
| 9 | 4566 | 472 |
| 10 | 4838 | 472 |
| 11 | 4991 | 472 |
| 12 | 5014 | 472 |
| 13 | 5032 | 472 |
| 14 | 5097 | 472 |
| 15 | 5266 | 472 |
| 16 | 5292 | 472 |
| 17 | 5292 | 472 |
| 18 | 5716 | 472 |
| 19 | 5904 | 472 |
| 20 | 5904 | 472 |
| 21 | 5904 | 472 |
| 22 | 5906 | 472 |
| 0 | 5906 | 472 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) |
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) |
#s(literal 2 binary64) |
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) |
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
z |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#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 t t) #s(literal 1/2 binary64) #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 (*.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) |
(*.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 #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))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 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) |
(sqrt.f64 #s(literal 2 binary64)) |
#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))) |
(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 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t 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 (-.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) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) |
(sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) |
(*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) |
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) |
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
(+.f64 #s(literal 1 binary64) t) |
#s(literal 1 binary64) |
t |
z |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.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 (*.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) |
(*.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 #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 #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))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z)))) |
#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 (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) x) (sqrt.f64 z)) |
(*.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) |
(sqrt.f64 #s(literal 2 binary64)) |
#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))) |
(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 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t 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 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (neg.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 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(-.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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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)))) | |
| accuracy | 4.0292160668241825 | #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 | 0.2578104358302058 | (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| accuracy | 0.44369125976844204 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 5.730056969825774 | #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))) | |
| accuracy | 26.60155865451155 | #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)))) | |
| accuracy | 0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.17578125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.2578104358302058 | (*.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)))) | |
| accuracy | 12.620488629883681 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.0859375 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 27.76936339662857 | #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 0.00390625 | (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) | |
| accuracy | 0.0859375 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) | |
| accuracy | 27.206815998945416 | #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
| 98.0ms | 256× | 0 | valid |
Compiled 840 to 107 computations (87.3% saved)
ival-mult: 30.0ms (45.9% of total)ival-add: 9.0ms (13.8% of total)ival-sqrt: 7.0ms (10.7% of total)ival-pow: 5.0ms (7.7% of total)ival-exp: 4.0ms (6.1% of total)const: 4.0ms (6.1% of total)ival-sub: 3.0ms (4.6% of total)ival-div: 2.0ms (3.1% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.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 t t) #s(literal 1/2 binary64) #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 #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 #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))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 z) #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)))) |
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(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))) |
#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 (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -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)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* x (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y 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)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -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 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* 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))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x 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))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -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))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* -1/2 (* (* x (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) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 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))))))) |
(+ (* (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 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(+ 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))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(exp t) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | z | @ | 0 | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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 (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 13.0ms | z | @ | -inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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 (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 11.0ms | z | @ | inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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 (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 6.0ms | x | @ | 0 | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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 (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 5.0ms | x | @ | -inf | ((* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (- (* 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 (* (sqrt z) 1/2)) (sqrt 2)) (* x (* (sqrt z) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp t) (* (* 2 (pow (exp t) t)) z) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 261 | 1265 |
| 1 | 887 | 1165 |
| 2 | 3164 | 1011 |
| 0 | 8082 | 973 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -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)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* 1/2 (* x (sqrt z))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y 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)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -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 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* 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))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x 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))))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -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))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* -1/2 (* (* x (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) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 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))))))) |
(+ (* (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 |
(+ 1 t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(+ 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))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
(exp t) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
| Outputs |
|---|
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* -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 (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 z) y)) (*.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 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z)) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (neg.f64 (*.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)) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* 1/2 (* x (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) 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) |
(* 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))))) |
(* 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)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) 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) (* (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 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) 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) (* (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)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) 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)) 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)) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)) (sqrt.f64 #s(literal 2 binary64))) |
(* (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 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z)) |
(* (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)) |
(* 2 (* z (exp (pow t 2)))) |
(*.f64 (*.f64 (pow.f64 (exp.f64 t) t) z) #s(literal 2 binary64)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.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 z))) |
(* -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))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (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)))) |
(*.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 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.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)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 (*.f64 t t) (*.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) #s(literal 1/4 binary64)) z) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (*.f64 (*.f64 z #s(literal 1/24 binary64)) (*.f64 t t)))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.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) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/4 binary64)) z) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) z)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 1/4 binary64) z (*.f64 (*.f64 z #s(literal 1/24 binary64)) (*.f64 t t))))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (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 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
1 |
#s(literal 1 binary64) |
(+ 1 t) |
(+.f64 #s(literal 1 binary64) t) |
(+ 1 (* t (+ 1 (* 1/2 t)))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) t #s(literal 1 binary64)) t #s(literal 1 binary64)) |
(+ 1 (* t (+ 1 (* t (+ 1/2 (* 1/6 t)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) t #s(literal 1/2 binary64)) t #s(literal 1 binary64)) t #s(literal 1 binary64)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(*.f64 z (fma.f64 (fma.f64 t t #s(literal 1 binary64)) #s(literal 2 binary64) (pow.f64 t #s(literal 4 binary64)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #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)) |
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)) |
(exp t) |
(exp.f64 t) |
(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)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 316 |
| 0 | 95 | 310 |
| 1 | 292 | 307 |
| 2 | 1564 | 307 |
| 0 | 8285 | 307 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.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 t t) #s(literal 1/2 binary64) #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 #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 #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))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 z) #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)))) |
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(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))) |
#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 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)))) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))) (-.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)))) (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (-.f64 (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y)) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (neg.f64 y))) (*.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (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 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (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 x #s(literal 1/2 binary64) y))) (*.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) (*.f64 (neg.f64 y) (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))))) |
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(/.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 (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.f64 (*.f64 z #s(literal 2 binary64)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.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 (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.f64 (*.f64 z #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 (neg.f64 y) #s(literal 3 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))))) |
#s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) |
(exp.f64 (log.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)))) |
(*.f64 (*.f64 z (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) #s(literal 2 binary64)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) |
(*.f64 z (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) z) |
(*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) (*.f64 z (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t))) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.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))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #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 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 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 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 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))) |
#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 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 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))) (/.f64 #s(literal 1 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)) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal -1 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 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)) (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))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64))) #s(literal 3 binary64))) (fma.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 (*.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))) (fma.f64 (/.f64 #s(literal 1/64 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 (*.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 (neg.f64 (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))))) |
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 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) (/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (-.f64 #s(literal 1/64 binary64) (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.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)))) (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 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2304 binary64) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal -1/8 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/64 binary64) (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)) |
(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 (*.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))) (neg.f64 (/.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 15 265 to 1 233 computations (91.9% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 384 | 16 | 400 |
| Fresh | 8 | 9 | 17 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 394 | 29 | 423 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 46.9% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 62.8% | (/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 96.2% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| 87.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| ✓ | 99.7% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
| 93.2% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z)))))) | |
| 86.6% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) | |
| ✓ | 62.9% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| ▶ | 87.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
| ▶ | 62.7% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
| 62.6% | (*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.f64 z #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 86.9% | (*.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 96.0% | (*.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)))) | |
| ✓ | 87.1% | (*.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)))) |
| ▶ | 95.8% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
| ▶ | 97.2% | (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.4% | (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 88.6% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 95.1% | (*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) | |
| 61.4% | (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| 62.2% | (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| 54.8% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) | |
| ▶ | 29.7% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| 29.6% | (*.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)) #s(literal 1 binary64))) | |
| ✓ | 61.1% | (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 35.8% | (*.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))) | |
| 61.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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)))) |
Compiled 1 523 to 1 207 computations (20.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 z)) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) | |
| cost-diff | 0 | #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* 1/2 x) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | (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)) (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 | (*.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 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 502 |
| 0 | 88 | 494 |
| 1 | 151 | 494 |
| 2 | 277 | 494 |
| 3 | 762 | 494 |
| 4 | 2159 | 494 |
| 5 | 3520 | 494 |
| 6 | 5370 | 494 |
| 7 | 7602 | 494 |
| 0 | 8193 | 494 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 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 x #s(literal 1/2 binary64)) y)) |
#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) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (- (* 1/2 x) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(sqrt.f64 z) |
z |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) t) |
t |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
(-.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 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#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) |
| Outputs |
|---|
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) #s(approx (exp (/ (* t 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))))) |
(*.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 x #s(literal 1/2 binary64)) y)) |
(*.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) #s(approx (exp (/ (* t 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)))) |
#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 (exp (/ (* t 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))) |
(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 (*.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)) |
(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 (*.f64 t t) #s(literal 1/48 binary64) #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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #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) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) (neg.f64 y))) |
#s(approx (- (* 1/2 x) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
x |
#s(literal 1/2 binary64) |
(neg.f64 y) |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) t) |
t |
#s(literal 1 binary64) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) #s(approx (exp (/ (* t 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))))) (neg.f64 (sqrt.f64 z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (neg.f64 (fma.f64 #s(literal -1/2 binary64) x y))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) x y)) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#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 (exp (/ (* t 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))) |
(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 (*.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)) |
(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 (*.f64 t t) #s(literal 1/48 binary64) #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)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) | |
| accuracy | 0.2578104358302058 | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) | |
| accuracy | 0.414726269536884 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 4.0292160668241825 | #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 | 0.0859375 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) | |
| accuracy | 0.48570253907376815 | (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 2.3609346378309866 | (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 14.02306964976428 | #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) | |
| accuracy | 0.0078125 | (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| accuracy | 0.171875 | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| accuracy | 0.359375 | (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 27.829705135576333 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.0859375 | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 27.76936339662857 | #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) | |
| accuracy | 35.692249666175215 | #s(approx (- (* 1/2 x) y) (neg.f64 y)) | |
| accuracy | 0.03515625 | (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 | 0.08984375 | (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 0.09375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 4.0292160668241825 | #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))) |
| 101.0ms | 256× | 0 | valid |
Compiled 888 to 106 computations (88.1% saved)
ival-mult: 34.0ms (49.8% of total)ival-add: 7.0ms (10.3% of total)ival-sqrt: 7.0ms (10.3% of total)ival-pow: 5.0ms (7.3% of total)ival-exp: 4.0ms (5.9% of total)const: 4.0ms (5.9% of total)ival-sub: 3.0ms (4.4% of total)ival-div: 2.0ms (2.9% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 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 x #s(literal 1/2 binary64)) y)) |
#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)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (- (* 1/2 x) y) (neg.f64 y)) |
(neg.f64 y) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(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)) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #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 (exp (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* y (sqrt z))) |
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z)))) |
(* 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 (exp (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* x (sqrt z))) |
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z)))) |
(* -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 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) |
(+ (* -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 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z))))) |
(* -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 (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (- (* 1/2 x) y)) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt z) (exp (* 1/2 (pow t 2)))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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 (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 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))))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
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 z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
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))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(sqrt z) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt z))) (* 1/2 (sqrt z))))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt z))) (* 1/8 (sqrt z))))))) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 6)) |
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
(* 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)))))) |
(* 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)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | z | @ | -inf | ((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (neg y)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2))) |
| 14.0ms | z | @ | 0 | ((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (neg y)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2))) |
| 11.0ms | z | @ | inf | ((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (neg y)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2))) |
| 5.0ms | x | @ | -inf | ((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (neg y)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2))) |
| 4.0ms | x | @ | 0 | ((* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* z 2))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* t t)) 1) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (neg y) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (+ (* x 1/2) (neg y)) (sqrt 2)) (* (sqrt z) (exp (/ (* t t) 2)))) (* (+ (* x 1/2) (neg y)) (sqrt 2)) (+ (* x 1/2) (neg y)) (* (- (* 1/2 x) y) (sqrt (* (* 2 (pow (exp t) t)) z))) (- (* 1/2 x) y) (* 1/2 x) (sqrt (* (* 2 (pow (exp t) t)) z)) (* (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (exp (/ (* t t) 2))) (* (* (- (* x 1/2) y) (sqrt z)) (sqrt 2)) (* (- (* x 1/2) y) (sqrt z)) (- (* x 1/2) y) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (* (* 2 (pow (exp t) t)) z) (exp (/ (* t t) 2)) (* (sqrt z) (exp (/ (* t t) 2))) (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (* (sqrt z) (sqrt 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 378 | 1907 |
| 1 | 1294 | 1718 |
| 2 | 4544 | 1504 |
| 0 | 8136 | 1451 |
| 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 (exp (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* -1 (* y (sqrt 2))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(* 1/2 x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 (* y (sqrt z))) |
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z)))) |
(* 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 (exp (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* x (sqrt 2))) |
(* x (+ (* -1 (/ (* y (sqrt 2)) x)) (* 1/2 (sqrt 2)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* x (sqrt z))) |
(* x (+ (* -1 (* (/ y x) (sqrt z))) (* 1/2 (sqrt z)))) |
(* -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 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (sqrt z)) (* (/ y x) (sqrt z))))) |
(+ (* -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 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* y (+ (* -1 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (sqrt 2)) (* 1/2 (/ (* x (sqrt 2)) y)))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (sqrt z)) (* 1/2 (* (/ x y) (sqrt z))))) |
(* -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 (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt (* z (exp (pow t 2)))))) (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (sqrt 2) (* -1/2 (/ (* x (sqrt 2)) y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (sqrt z) (* -1/2 (* (/ x y) (sqrt z)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt (* z (exp (pow t 2)))) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt (* z (exp (pow t 2)))) (sqrt 2)) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (- (* 1/2 x) y)) |
(* 2 (* z (exp (pow t 2)))) |
(* (sqrt z) (exp (* 1/2 (pow t 2)))) |
(* (sqrt z) (* (sqrt 2) (+ 1 (* 1/2 (pow t 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 (exp (pow t 2)))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt (* z (exp (pow t 2)))) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (- (* 1/2 x) y)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (pow (sqrt -1) 2)))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (+ 1 (* 1/2 (pow t 2))))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 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))))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
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 z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z))))) (sqrt (/ 1 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) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (* (- (* 1/2 x) y) (- (* 1/2 z) (* 1/4 z)))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (* (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))) (- (* 1/2 x) y)))) (sqrt (/ 1 z))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z)))) (sqrt (/ 1 z))))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/2 (* (sqrt (/ 1 z)) (* (sqrt 2) (- (* 1/2 z) (* 1/4 z))))) (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/6 z) (* 1/2 (- (* 1/2 z) (* 1/4 z)))))) (sqrt (/ 1 z))))))))) |
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))))) |
(* 2 z) |
(+ (* 2 z) (* 2 (* (pow t 2) z))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) z)))) |
(+ (* 2 z) (* (pow t 2) (+ (* 2 z) (* (pow t 2) (+ z (* 1/3 (* (pow t 2) z))))))) |
(sqrt z) |
(+ (sqrt z) (* 1/2 (* (pow t 2) (sqrt z)))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (sqrt z))) (* 1/2 (sqrt z))))) |
(+ (sqrt z) (* (pow t 2) (+ (* 1/2 (sqrt z)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (sqrt z))) (* 1/8 (sqrt z))))))) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 6)) |
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
(* 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)))))) |
(* 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)))) |
| 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 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2))))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(* -1 (* y (sqrt 2))) |
(*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* y (sqrt 2))) (* 1/2 (* x (sqrt 2)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 z)) |
(* -1 (* y (sqrt z))) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(+ (* -1 (* y (sqrt z))) (* 1/2 (* x (sqrt z)))) |
(*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) 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 #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 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x))))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 #s(literal 1/2 binary64) x)) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt (* z (exp (pow t 2)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt (* z (exp (pow t 2)))))) (* 1/2 (* (sqrt (* z (exp (pow t 2)))) (sqrt 2))))) |
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1 |
#s(literal 1 binary64) |
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1/8 |
#s(literal 1/8 binary64) |
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(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/48 (pow t 6)) |
(*.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/48 binary64)) |
(* (pow t 6) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) (pow.f64 t #s(literal 6 binary64))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) (pow.f64 t #s(literal 6 binary64))) |
(* (pow t 6) (+ 1/48 (+ (/ 1/2 (pow t 4)) (+ (* 1/8 (/ 1 (pow t 2))) (/ 1 (pow t 6)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) (pow.f64 t #s(literal 6 binary64)) #s(literal 1 binary64)) |
(* 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 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)))) |
(* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (/ (sqrt 2) (pow t 2)) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 (sqrt.f64 z) #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 z) t) t))) (*.f64 t t)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 362 |
| 0 | 88 | 349 |
| 1 | 256 | 348 |
| 2 | 1344 | 332 |
| 0 | 8608 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 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 x #s(literal 1/2 binary64)) y)) |
#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)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
#s(approx (- (* 1/2 x) y) (neg.f64 y)) |
(neg.f64 y) |
(sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(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)) |
#s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t 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)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 #s(approx (exp (/ (* t 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))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 #s(approx (exp (/ (* t 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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t 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))))) |
(*.f64 (*.f64 (fma.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 (*.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)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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))))) |
(*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 z)) #s(approx (exp (/ (* t 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))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (exp (/ (* t 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))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t 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)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t 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)))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) 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))) #s(approx (exp (/ (* t 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)))) (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 #s(approx (exp (/ (* t 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))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y))) (pow.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t 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))) (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 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) |
(*.f64 #s(approx (exp (/ (* t 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))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(approx (exp (/ (* t 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)))) (*.f64 y #s(approx (exp (/ (* t 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))))) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (exp (/ (* t 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)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (exp (/ (* t 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)))))) (-.f64 (*.f64 y #s(approx (exp (/ (* t 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)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(approx (exp (/ (* t 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)))))) |
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(/.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #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) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (fma.f64 (pow.f64 t #s(literal 6 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) (*.f64 (sqrt.f64 (*.f64 z #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 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(+.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t)) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(+.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 t t)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 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 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
Compiled 36 642 to 2 820 computations (92.3% saved)
38 alts after pruning (33 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 737 | 20 | 757 |
| Fresh | 7 | 13 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 748 | 38 | 786 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 46.9% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 62.9% | (/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) | |
| 62.8% | (/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) | |
| 34.7% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| 48.5% | (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) | |
| 30.7% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| 41.1% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t 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)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 87.5% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) | |
| ✓ | 99.7% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
| 86.6% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) | |
| ✓ | 62.9% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| 87.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) | |
| 34.9% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)))))) | |
| 62.7% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) | |
| 54.3% | (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 86.9% | (*.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 87.1% | (*.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)))) |
| 54.1% | (*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) | |
| 89.6% | (*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) 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)))) | |
| 88.3% | (*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (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)))) | |
| 62.6% | (*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.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 (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)))) | |
| 97.2% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 95.4% | (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 97.1% | (*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 88.6% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| 3.0% | (*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) | |
| 54.1% | (*.f64 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) | |
| 3.7% | (*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| 61.4% | (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| 62.2% | (*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) | |
| 54.8% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) | |
| 47.4% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) | |
| ✓ | 29.7% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| ✓ | 61.1% | (*.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 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 61.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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)))) | |
| 29.6% | (*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) | |
| 94.6% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
Compiled 3 172 to 1 212 computations (61.8% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #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 (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 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.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 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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)) (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 (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) (*.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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 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))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.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 (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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (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))) (*.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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) 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)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t 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)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.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 (-.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z)))))) |
(*.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 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)) 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 (/.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 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.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))) |
13 calls:
| 20.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 20.0ms | z |
| 20.0ms | (*.f64 z #s(literal 2 binary64)) |
| 20.0ms | x |
| 20.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 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 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #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 (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 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.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 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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)) (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 (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) (*.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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 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))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.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 (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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (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))) (*.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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) 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)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t 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)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (pow.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 (-.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 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (E.f64) (*.f64 (*.f64 t t) #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (fma.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 t t) z) z)))))) |
(*.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)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
13 calls:
| 20.0ms | y |
| 20.0ms | z |
| 20.0ms | x |
| 20.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 19.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
| 99.7% | 1 | y |
| 99.7% | 1 | z |
| 99.7% | 1 | t |
| 99.7% | 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)))) |
| 99.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.7% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #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 (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 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.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 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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)) (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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 (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) (*.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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 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))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.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 (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 (sqrt.f64 z) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (exp (/ (* t 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)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (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)))) |
(*.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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x)))) (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))) (*.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 (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt z)) (*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))) 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)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y y)) #s(approx (exp (/ (* t 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)))) (fma.f64 x #s(literal 1/2 binary64) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(/.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 (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.f64 (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
| Outputs |
|---|
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 18.0ms | (*.f64 z #s(literal 2 binary64)) |
| 17.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 17.0ms | x |
| 17.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 17.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 1 | x |
| 97.2% | 1 | y |
| 97.2% | 1 | z |
| 97.2% | 1 | t |
| 97.2% | 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)))) |
| 97.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 97.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 97.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 97.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 97.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 97.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 97.2% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #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 (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 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.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 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 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 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #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 #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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 13.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 13.0ms | (*.f64 z #s(literal 2 binary64)) |
| 13.0ms | z |
| 13.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 13.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | y |
| 97.1% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 97.1% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 97.1% | 1 | x |
| 97.1% | 1 | z |
| 97.1% | 1 | t |
| 97.1% | 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)))) |
| 97.1% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 97.1% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 97.1% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 97.1% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 97.1% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 97.1% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #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 (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 x #s(literal 1/2 binary64) (neg.f64 y)) (*.f64 #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))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.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 #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)) (- (* x 1/2) y)) (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (exp (/ (* t 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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (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)))) (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)))) |
| Outputs |
|---|
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 12.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 12.0ms | (*.f64 z #s(literal 2 binary64)) |
| 12.0ms | x |
| 12.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 12.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 1 | y |
| 95.4% | 1 | x |
| 95.4% | 1 | z |
| 95.4% | 1 | t |
| 95.4% | 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)))) |
| 95.4% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.4% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.4% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.4% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.4% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.4% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.4% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.4% | 1 | (*.f64 t t) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #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 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64))))) |
(/.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) x)) #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 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) #s(approx (* (+ (* (* 1/2 t) t) 1) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (*.f64 (sqrt.f64 z) #s(literal 1/2 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 (-.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 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.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))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) t) t #s(literal 1 binary64)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
13 calls:
| 9.0ms | z |
| 9.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 9.0ms | (*.f64 z #s(literal 2 binary64)) |
| 9.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 9.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 1 | x |
| 88.6% | 1 | y |
| 88.6% | 1 | z |
| 88.6% | 1 | t |
| 88.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 88.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 88.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 88.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 88.6% | 1 | (*.f64 t t) |
| 88.6% | 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)))) |
| 88.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 88.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 88.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 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)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) #s(approx (sqrt (* (* 2 (pow (exp t) t)) z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 t t) #s(literal 1 binary64)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) |
13 calls:
| 6.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 6.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 6.0ms | y |
| 6.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 6.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.6% | 1 | x |
| 86.6% | 1 | y |
| 86.6% | 1 | z |
| 86.6% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 86.6% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 86.6% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 86.6% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 86.6% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 86.6% | 1 | t |
| 86.6% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 86.6% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 86.6% | 1 | (*.f64 t t) |
| 86.6% | 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)))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #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))) |
(*.f64 #s(approx (- (* 1/2 x) y) (/.f64 (*.f64 y y) y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (+ (* x 1/2) (neg y)) (sqrt 2)) (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 z) #s(approx (exp (/ (* t t) 2)) #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)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (* (sqrt z) (exp (/ (* t t) 2))) (sqrt.f64 z))) |
(*.f64 #s(approx (- (* 1/2 x) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) |
13 calls:
| 5.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 5.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 5.0ms | x |
| 5.0ms | (*.f64 z #s(literal 2 binary64)) |
| 5.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 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)))) |
| 77.9% | 2 | t |
| 77.9% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 77.9% | 2 | (*.f64 t t) |
| 68.7% | 3 | x |
| 67.3% | 2 | y |
| 62.9% | 1 | z |
| 62.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 68.7% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 62.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 62.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 62.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 77.2% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
9 calls:
| 3.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 3.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 3.0ms | t |
| 3.0ms | y |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 62.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 62.9% | 1 | x |
| 62.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 62.9% | 1 | y |
| 62.9% | 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)))) |
| 62.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 62.9% | 1 | t |
| 62.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 62.9% | 1 | (*.f64 t t) |
Compiled 42 to 60 computations (-42.9% saved)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
| Outputs |
|---|
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 2.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | (*.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 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.7% | 1 | y |
| 29.7% | 1 | t |
| 29.7% | 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)))) |
| 29.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 29.7% | 1 | (*.f64 t t) |
| 29.7% | 1 | x |
| 29.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 29.7% | 1 | z |
| 29.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 29.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 29.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 29.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 29.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Compiled 60 to 88 computations (-46.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
| Outputs |
|---|
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
13 calls:
| 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 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 3.0% | 1 | z |
| 3.0% | 1 | t |
| 3.0% | 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)))) |
| 3.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 3.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 3.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 3.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 3.0% | 1 | (*.f64 t t) |
| 3.0% | 1 | y |
| 3.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 3.0% | 1 | x |
| 3.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
Compiled 60 to 88 computations (-46.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 2.8302611616921198e+225 | 7.282028904104174e+226 |
| 10.0ms | 112× | 0 | valid |
Compiled 328 to 295 computations (10.1% saved)
ival-mult: 3.0ms (47% of total)ival-sub: 1.0ms (15.7% of total)ival-div: 1.0ms (15.7% of total)ival-exp: 1.0ms (15.7% of total)ival-sqrt: 1.0ms (15.7% 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 | 83 | 300 |
| 1 | 121 | 300 |
| 2 | 124 | 300 |
| 3 | 125 | 300 |
| 1× | saturated |
| Inputs |
|---|
(*.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))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) |
(if (<=.f64 (*.f64 t t) #s(literal 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
| Outputs |
|---|
(*.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))) |
(*.f64 (sqrt.f64 (*.f64 z (*.f64 (pow.f64 (exp.f64 t) t) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t)) z))) |
(*.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 #s(approx (exp t) (+.f64 #s(literal 1 binary64) t)) t) #s(literal 2 binary64)) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 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 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.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 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.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 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #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 x #s(literal 1/2 binary64) (neg.f64 y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 x #s(literal 1/2 binary64) (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)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(if (<=.f64 (*.f64 t t) #s(literal 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))) |
(if (<=.f64 (*.f64 t t) #s(literal 3699999999999999948973647760357823615420048058057228614367216148958127376661806726886185152455204055563905471144308784792924702887123500949415841914047518966443078850793428445781784601179536392220622245042235592343855097184256 binary64)) (*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 (fma.f64 (*.f64 t t) z z) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64)))) #s(approx (- (* 1/2 x) y) y)) |
(*.f64 #s(approx (- (* 1/2 x) y) y) (sqrt.f64 #s(approx (* (* 2 (pow (exp t) t)) z) (*.f64 z #s(literal 2 binary64))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 316 |
| 0 | 95 | 310 |
| 1 | 292 | 307 |
| 2 | 1564 | 307 |
| 0 | 8285 | 307 |
| 0 | 261 | 1265 |
| 1 | 887 | 1165 |
| 2 | 3164 | 1011 |
| 0 | 8082 | 973 |
| 0 | 378 | 1907 |
| 1 | 1294 | 1718 |
| 2 | 4544 | 1504 |
| 0 | 8136 | 1451 |
| 0 | 440 | 2124 |
| 1 | 1403 | 1883 |
| 2 | 4912 | 1828 |
| 0 | 8734 | 1757 |
| 0 | 136 | 621 |
| 1 | 454 | 492 |
| 2 | 1579 | 441 |
| 3 | 4469 | 438 |
| 0 | 8855 | 426 |
| 0 | 54 | 362 |
| 0 | 88 | 349 |
| 1 | 256 | 348 |
| 2 | 1344 | 332 |
| 0 | 8608 | 332 |
| 0 | 42 | 233 |
| 0 | 74 | 216 |
| 1 | 225 | 215 |
| 2 | 943 | 215 |
| 0 | 8310 | 215 |
| 0 | 15 | 45 |
| 0 | 24 | 43 |
| 1 | 63 | 42 |
| 2 | 285 | 42 |
| 3 | 2343 | 42 |
| 0 | 8617 | 42 |
| 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× | 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 |
| 1× | node limit |
| 1× | iter limit |
Compiled 933 to 535 computations (42.7% saved)
(abs t)
Compiled 972 to 508 computations (47.7% saved)
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