
Time bar (total: 6.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 31.3% | 31.2% | 68.6% | 0.2% | 0% | 0% | 0% | 7 |
| 40.6% | 40.5% | 59.3% | 0.2% | 0% | 0% | 0% | 8 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 9 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 10 |
| 54.7% | 54.6% | 45.2% | 0.2% | 0% | 0% | 0% | 11 |
| 62.5% | 62.4% | 37.4% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 19 to 15 computations (21.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 488.0ms (67.7% of total)ival-div: 109.0ms (15.1% of total)ival-sub: 106.0ms (14.7% of total)ival-true: 6.0ms (0.8% of total)exact: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)adjust: 2.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 79 | 1 | (5.451367926320036e+128 -2.3284053576253307e-80 3.2790328744933166e-252 -3.5601688579585594e+71) | 7 | (4.905963999477893e-32 2.6263691062872843e-188 -6.242130073336609e-127 1.741890983901026e+168) | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 4 | 0 | - | 0 | - | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| 0 | 0 | - | 0 | - | (*.f64 y t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 y #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 z #s(literal 2 binary64)) z) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 y #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/o | 8 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 26 | |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 y t) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | o/n | 5 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | overflow | 26 | |
-.f64 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | nan-rescue | 4 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 61 | |
| ↳ | (*.f64 y t) | overflow | 30 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/u | 4 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 27 | |
| ↳ | (*.f64 y t) | underflow | 30 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 53 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/o | 4 | 0 |
| ↳ | (*.f64 z #s(literal 2 binary64)) | overflow | 1 | |
| ↳ | (*.f64 y t) | overflow | 30 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | overflow | 61 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | u/n | 3 | 0 |
| ↳ | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | underflow | 27 | |
/.f64 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | n/u | 1 | 0 |
| ↳ | (*.f64 y t) | underflow | 30 | |
| ↳ | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | underflow | 8 | |
| ↳ | (*.f64 (*.f64 z #s(literal 2 binary64)) z) | underflow | 53 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 28 | 16 |
| - | 0 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 28 | 0 | 16 |
| - | 0 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 228 |
| 1 | 27 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 512× | 0 | valid |
Compiled 151 to 43 computations (71.5% saved)
ival-mult: 38.0ms (80.9% of total)ival-sub: 5.0ms (10.6% of total)ival-div: 3.0ms (6.4% of total)ival-true: 0.0ms (0% of total)adjust: 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 | 70 | 250 |
| 1 | 165 | 244 |
| 2 | 418 | 242 |
| 3 | 1101 | 242 |
| 4 | 2592 | 242 |
| 5 | 4659 | 242 |
| 6 | 5299 | 242 |
| 7 | 5418 | 242 |
| 8 | 5551 | 242 |
| 9 | 5846 | 242 |
| 10 | 6131 | 242 |
| 11 | 6512 | 242 |
| 12 | 6892 | 242 |
| 13 | 6988 | 242 |
| 14 | 6988 | 242 |
| 15 | 6988 | 242 |
| 0 | 13 | 17 |
| 0 | 21 | 17 |
| 1 | 36 | 17 |
| 2 | 70 | 17 |
| 3 | 144 | 17 |
| 4 | 322 | 17 |
| 5 | 692 | 17 |
| 6 | 934 | 17 |
| 7 | 1044 | 17 |
| 8 | 1158 | 17 |
| 9 | 1188 | 17 |
| 0 | 1188 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)) x) |
Compiled 17 to 13 computations (23.5% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.7% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | |
| cost-diff | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) | |
| cost-diff | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 0 | 21 | 65 |
| 1 | 36 | 65 |
| 2 | 70 | 65 |
| 3 | 144 | 65 |
| 4 | 322 | 65 |
| 5 | 692 | 65 |
| 6 | 934 | 65 |
| 7 | 1044 | 65 |
| 8 | 1158 | 65 |
| 9 | 1188 | 65 |
| 0 | 1188 | 62 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 y t) |
t |
| Outputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) (*.f64 z #s(literal 2 binary64)) x) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) y) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 z (*.f64 #s(literal 2 binary64) y)) |
(*.f64 y #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) y) |
y |
#s(literal 2 binary64) |
z |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
(neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(*.f64 (*.f64 z #s(literal 2 binary64)) z) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 y t) |
(*.f64 t y) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 y #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) | |
| accuracy | 0.8554666858302059 | (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) | |
| accuracy | 18.025154795842777 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 43.0ms | 256× | 0 | valid |
Compiled 67 to 15 computations (77.6% saved)
ival-mult: 8.0ms (66.3% of total)ival-div: 2.0ms (16.6% of total)ival-sub: 2.0ms (16.6% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| Outputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(- (* 2 (pow z 2)) (* t y)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 3.0ms | y | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 3.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | y | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 2.0ms | y | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- (* (* z 2) z) (* y t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 1481 |
| 1 | 1100 | 1417 |
| 2 | 4018 | 1408 |
| 0 | 8613 | 1321 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(+ x (* 2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(- (* 2 (pow z 2)) (* t y)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
| Outputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 y x) z) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(+ x (* -1 (/ y z))) |
(-.f64 x (/.f64 y z)) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) t) (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) z)) y x) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) y) (/.f64 #s(literal 1 binary64) z)) y x) |
(/ y z) |
(/.f64 y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(*.f64 (fma.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64)) y (/.f64 #s(literal 1 binary64) z)) y) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 y z)) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(fma.f64 (*.f64 y y) (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 t t)) (pow.f64 z #s(literal 5 binary64)))) y (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal 1/2 binary64))) (/.f64 y z)) |
(* 2 (* y z)) |
(*.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* 2 y) |
(*.f64 #s(literal 2 binary64) y) |
(* 2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(- x (* -2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x)) |
(* -2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal -2 binary64)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(fma.f64 (/.f64 #s(literal -16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(* -1 (* t y)) |
(*.f64 (neg.f64 t) y) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(*.f64 (-.f64 (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64)) t) y) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y)) (neg.f64 y)))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(fma.f64 (/.f64 #s(literal -2 binary64) t) z (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) y)) (neg.f64 y))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t)) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 t #s(literal 3 binary64)))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(*.f64 (fma.f64 (/.f64 #s(literal -4 binary64) (*.f64 t t)) (/.f64 (*.f64 z z) y) (/.f64 #s(literal -2 binary64) t)) z) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 t #s(literal 3 binary64)))) #s(literal -8 binary64) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 t t) y))) (*.f64 z z) (/.f64 #s(literal -2 binary64) t)) z) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 t #s(literal 4 binary64)))) #s(literal -16 binary64) (/.f64 #s(literal -8 binary64) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) y))) (*.f64 z z) (/.f64 #s(literal -4 binary64) (*.f64 (*.f64 t t) y))) (*.f64 z z) (/.f64 #s(literal -2 binary64) t)) z) |
(- (* 2 (pow z 2)) (* t y)) |
(fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(-.f64 x (fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z)) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) y) z)) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 t) z) (/.f64 y z) #s(literal 2 binary64)) (*.f64 z z)) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) t) (*.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64)))) (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(-.f64 x (fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(neg.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)))) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (*.f64 (*.f64 y y) t) z) y)) z) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y y)) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal 1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) #s(literal -16 binary64) (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) t)) t) x) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) y) (*.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t))) (neg.f64 t))) (neg.f64 t))) (neg.f64 t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 49 |
| 0 | 21 | 49 |
| 1 | 64 | 49 |
| 2 | 418 | 49 |
| 3 | 5546 | 49 |
| 0 | 8576 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) |
(*.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (neg.f64 x))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 2 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))) (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) (*.f64 x x))))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 z y) (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x)) |
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(neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
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(fma.f64 (neg.f64 (*.f64 z z)) #s(literal 2 binary64) (*.f64 t y)) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
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(fma.f64 (*.f64 z z) #s(literal 2 binary64) (*.f64 (neg.f64 y) t)) |
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(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))) |
(fma.f64 (neg.f64 y) (neg.f64 t) (*.f64 #s(literal -2 binary64) (*.f64 z z))) |
(fma.f64 (neg.f64 y) t (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
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(fma.f64 t (neg.f64 y) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 t y (*.f64 #s(literal -2 binary64) (*.f64 z z))) |
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(fma.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (/.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) |
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(fma.f64 (*.f64 z #s(literal 2 binary64)) (neg.f64 z) (*.f64 t y)) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) z (*.f64 (neg.f64 y) t)) |
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(fma.f64 z (*.f64 #s(literal -2 binary64) z) (*.f64 t y)) |
(fma.f64 z (*.f64 z #s(literal 2 binary64)) (*.f64 (neg.f64 y) t)) |
(fma.f64 #s(literal 2 binary64) (neg.f64 (*.f64 z z)) (*.f64 t y)) |
(fma.f64 #s(literal 2 binary64) (*.f64 z z) (*.f64 (neg.f64 y) t)) |
(fma.f64 y (neg.f64 t) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(fma.f64 y t (*.f64 #s(literal -2 binary64) (*.f64 z z))) |
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(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))) |
(-.f64 (*.f64 (neg.f64 y) t) (*.f64 #s(literal -2 binary64) (*.f64 z z))) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 (neg.f64 t)) y)) |
(-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 t y)) |
(+.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 z z))) (*.f64 (neg.f64 y) t)) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 2 binary64)) (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y)))) (/.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (fma.f64 t y (*.f64 (*.f64 z #s(literal 2 binary64)) z)) (*.f64 t y))))) |
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 z z)) (*.f64 t y)) |
(+.f64 (*.f64 (neg.f64 y) t) (*.f64 (*.f64 z #s(literal 2 binary64)) z)) |
(+.f64 (*.f64 t y) (*.f64 #s(literal -2 binary64) (*.f64 z z))) |
(+.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 (neg.f64 y) t)) |
Compiled 11 742 to 1 103 computations (90.6% saved)
6 alts after pruning (6 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 284 | 6 | 290 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 285 | 6 | 291 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.5% | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
| 82.1% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)))) | |
| ▶ | 47.3% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
| ▶ | 54.9% | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
| ▶ | 63.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ▶ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
Compiled 268 to 196 computations (26.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (*.f64 y #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 y #s(literal 2 binary64)) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) | |
| cost-diff | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) | |
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| cost-diff | 0 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) | |
| cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 285 |
| 0 | 59 | 285 |
| 1 | 100 | 285 |
| 2 | 224 | 285 |
| 3 | 572 | 281 |
| 4 | 1152 | 281 |
| 5 | 1975 | 281 |
| 6 | 2272 | 281 |
| 7 | 2530 | 281 |
| 8 | 2700 | 281 |
| 9 | 2781 | 281 |
| 0 | 2781 | 279 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
y |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
#s(literal -2 binary64) |
(*.f64 z z) |
(*.f64 t y) |
t |
x |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
x |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 z z) |
| Outputs |
|---|
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 #s(literal 2 binary64) z) x) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) |
y |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
#s(literal -2 binary64) |
(*.f64 z z) |
(*.f64 t y) |
t |
x |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
x |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
y |
z |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
x |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) z x) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(*.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (/.f64 (*.f64 #s(literal -2 binary64) y) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) z x) |
x |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
y |
#s(literal 2 binary64) |
z |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 z z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (*.f64 (*.f64 z z) #s(literal 2 binary64)) | |
| accuracy | 0.01953125 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) | |
| accuracy | 18.025154795842777 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) | |
| accuracy | 29.074008331528912 | #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (neg.f64 t) | |
| accuracy | 0.01953125 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) | |
| accuracy | 18.025154795842777 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) | |
| accuracy | 30.576634797192263 | #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.0078125 | (fma.f64 (/.f64 z t) #s(literal 2 binary64) x) | |
| accuracy | 24.047782585308624 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) | |
| accuracy | 0.0 | (/.f64 y z) | |
| accuracy | 0.01953125 | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) | |
| accuracy | 31.151897510969686 | #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) | |
| accuracy | 0.0 | (*.f64 t y) | |
| accuracy | 0.9609313074906174 | (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) | |
| accuracy | 10.28487323861867 | (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
| 113.0ms | 256× | 0 | valid |
Compiled 244 to 30 computations (87.7% saved)
ival-div: 39.0ms (59.5% of total)ival-mult: 18.0ms (27.4% of total)ival-add: 4.0ms (6.1% of total)ival-sub: 2.0ms (3% of total)ival-neg: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(*.f64 t y) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(neg.f64 t) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
| Outputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
x |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 y) |
(* t y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(/ z t) |
(- (* 2 (pow z 2)) (* t y)) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(* -1 t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | z | @ | 0 | ((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (- (* (* z 2) z) (* y t)) (neg t) (- (* (* z 2) z) (* y t)) (* (* z z) 2)) |
| 5.0ms | y | @ | inf | ((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (- (* (* z 2) z) (* y t)) (neg t) (- (* (* z 2) z) (* y t)) (* (* z z) 2)) |
| 3.0ms | y | @ | -inf | ((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (- (* (* z 2) z) (* y t)) (neg t) (- (* (* z 2) z) (* y t)) (* (* z z) 2)) |
| 3.0ms | z | @ | inf | ((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (- (* (* z 2) z) (* y t)) (neg t) (- (* (* z 2) z) (* y t)) (* (* z z) 2)) |
| 3.0ms | z | @ | -inf | ((+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/ y z) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* (* y 2) z) (* y 2) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (* t y) (- (* (* z 2) z) (* y t)) (neg t) (- (* (* z 2) z) (* y t)) (* (* z z) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 599 | 2816 |
| 1 | 1953 | 2703 |
| 2 | 7027 | 2692 |
| 0 | 8283 | 2532 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
x |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(/ y z) |
(* y (+ (* 1/2 (/ (* t y) (pow z 3))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z))) |
(* y (+ (* y (+ (* 1/2 (/ t (pow z 3))) (* y (+ (* 1/8 (/ (* (pow t 3) y) (pow z 7))) (* 1/4 (/ (pow t 2) (pow z 5))))))) (/ 1 z))) |
(* 2 (* y z)) |
(* 2 y) |
(* t y) |
(* 2 (pow z 2)) |
(+ (* -1 (* t y)) (* 2 (pow z 2))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -2 (/ z t)) |
(+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))) |
(+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(+ (* -16 (/ (pow z 7) (* (pow t 4) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(* -1 (* t y)) |
(* y (- (* 2 (/ (pow z 2) y)) t)) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* 4 (/ (pow z 3) (pow t 2))) (* 8 (/ (pow z 5) (* (pow t 3) y)))) y))) |
(+ (* -2 (/ z t)) (* -1 (/ (+ (* -1 (/ (+ (* -16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) |
(* -1 (* y (- (* -2 (/ (pow z 2) y)) (* -1 t)))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(* z (- (* -4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* -8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(* z (- (* (pow z 2) (- (* (pow z 2) (- (* -16 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 8 (/ 1 (* (pow t 3) (pow y 2)))))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t)))) |
(/ z t) |
(- (* 2 (pow z 2)) (* t y)) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(* -1 t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
| Outputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(*.f64 (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 #s(literal 2 binary64) y)) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
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(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 z z)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 z z)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 2 binary64)) z) z) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z)) |
(/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(/ (+ y (+ (* 1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6))) (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2)))))) z) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) y) z)) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) t)) z) |
(* (pow z 2) (+ 2 (* -1 (/ (* t y) (pow z 2))))) |
(*.f64 (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 (/.f64 y z) z) t)) z) z) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* -1 (/ (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2)))) z)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 (*.f64 (*.f64 y y) t) z) (neg.f64 y)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))))) z)) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (neg.f64 y) z))) |
(* -1 (/ (+ (* -1 y) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 2))) (+ (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* -1/8 (/ (* (pow t 3) (pow y 4)) (pow z 6)))))) z)) |
(neg.f64 (fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (neg.f64 y)) z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) t))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z) (/.f64 (*.f64 (*.f64 (*.f64 y y) t) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 4 binary64)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t)) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t)) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal 1/2 binary64) (/.f64 y z)) |
(+ (* t (+ (* 1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(+ (* t (+ (* 1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* 1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 y y) #s(literal 1/2 binary64)) (pow.f64 z #s(literal 3 binary64)))) t (/.f64 y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 x t)) t) |
(* -1 t) |
(neg.f64 t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 z z) y) t) #s(literal 2 binary64) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) #s(literal 8 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t) |
(/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t) |
(/ (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z))) t) |
(/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t) |
(/ (+ (* -16 (/ (pow z 7) (* (pow t 3) (pow y 3)))) (+ (* -8 (/ (pow z 5) (* (pow t 2) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)))) t) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) #s(literal -16 binary64) (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t))) t) |
(* t (- (* 2 (/ (pow z 2) t)) y)) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 z z) y) t) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y))) (neg.f64 t))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) t)) t)) |
(* -1 (/ (+ (* 2 z) (* 4 (/ (pow z 3) (* t y)))) t)) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64)) t)) (neg.f64 t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t)) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64))) (neg.f64 t))) (neg.f64 t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (pow z 3) y)) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow y 2))) (* 16 (/ (pow z 7) (* t (pow y 3))))) t))) t)) (* 2 z)) t)) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal -4 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) t) (*.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 5 binary64)) y))) (neg.f64 t))) (neg.f64 t))) (neg.f64 t)) |
(* -1 (* t (- (* -2 (/ (pow z 2) t)) (* -1 y)))) |
(*.f64 (neg.f64 t) (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 245 |
| 0 | 59 | 245 |
| 1 | 204 | 245 |
| 2 | 1417 | 245 |
| 0 | 8784 | 245 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)) |
(/.f64 y z) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(/.f64 z t) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y))) |
(*.f64 (*.f64 y #s(literal 2 binary64)) z) |
(*.f64 y #s(literal 2 binary64)) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(*.f64 t y) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(neg.f64 t) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 #s(literal 2 binary64) z)) (*.f64 x (*.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 z) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64))) (*.f64 (neg.f64 z) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64))) (*.f64 x (*.f64 (neg.f64 z) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) z) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 (*.f64 #s(literal 2 binary64) z) x))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 t y) #s(literal 2 binary64)))) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 (neg.f64 t) y)) x) |
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (fma.f64 #s(literal -8 binary64) (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 t y) (-.f64 (*.f64 t y) (*.f64 (*.f64 z z) #s(literal -2 binary64))))) x) |
(fma.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64) x) |
(fma.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64)) z x) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (*.f64 #s(literal 2 binary64) z) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) x) |
(fma.f64 #s(literal 2 binary64) (*.f64 z (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) x) |
(fma.f64 z (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 x (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) z) #s(literal 2 binary64)) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) (*.f64 #s(literal 2 binary64) z))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))))) |
(-.f64 x (*.f64 (neg.f64 z) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z))) (neg.f64 (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)) (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 #s(literal 2 binary64) z)) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (neg.f64 #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64)))))) |
(*.f64 t y) |
(*.f64 y t) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)) |
(neg.f64 t) |
#s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) z) |
(*.f64 (fabs.f64 (*.f64 #s(literal 2 binary64) z)) z) |
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z))) z) |
(*.f64 (fabs.f64 (*.f64 #s(literal -2 binary64) z)) z) |
(*.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (neg.f64 z)) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal 2 binary64))) |
(*.f64 (*.f64 z z) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) z) |
(*.f64 #s(literal 2 binary64) (*.f64 z z)) |
(*.f64 z (fabs.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)))) |
(*.f64 z (fabs.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 z (fabs.f64 (*.f64 (neg.f64 z) #s(literal -2 binary64)))) |
(*.f64 z (fabs.f64 (*.f64 #s(literal -2 binary64) z))) |
(*.f64 z (*.f64 #s(literal 2 binary64) z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) (+.f64 (pow.f64 z #s(literal 4 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 z))) (*.f64 z z)) |
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 z z)) |
(fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z)) (*.f64 z z)) |
(fma.f64 (neg.f64 z) (neg.f64 z) (*.f64 z z)) |
(fma.f64 z z (*.f64 z z)) |
(sqrt.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
(fabs.f64 (neg.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(fabs.f64 (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(fabs.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64))) |
(+.f64 (*.f64 z z) (*.f64 z z)) |
Compiled 18 298 to 1 667 computations (90.9% saved)
7 alts after pruning (5 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 379 | 5 | 384 |
| Fresh | 1 | 0 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 383 | 7 | 390 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.5% | (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
| ▶ | 89.7% | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
| ▶ | 54.5% | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
| ✓ | 63.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ▶ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
| ▶ | 17.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
Compiled 283 to 202 computations (28.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) | |
| cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) | |
| cost-diff | 0 | #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (*.f64 z #s(literal 2 binary64)) | |
| cost-diff | 0 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) | |
| cost-diff | 0 | (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) | |
| cost-diff | 0 | (+.f64 z z) | |
| cost-diff | 0 | (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 307 |
| 0 | 70 | 303 |
| 1 | 129 | 303 |
| 2 | 292 | 303 |
| 3 | 783 | 299 |
| 4 | 1889 | 293 |
| 5 | 3465 | 293 |
| 6 | 5117 | 293 |
| 7 | 7020 | 293 |
| 0 | 8253 | 293 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(+.f64 z z) |
z |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
y |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
#s(literal -2 binary64) |
(*.f64 z z) |
(*.f64 t y) |
t |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x) |
z |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
x |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z z) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t)) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) |
(*.f64 z (/.f64 z t)) |
(/.f64 z t) |
t |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) y) z x) |
(+.f64 z z) |
(*.f64 #s(literal 2 binary64) z) |
z |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) |
y |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
#s(literal -2 binary64) |
(*.f64 z z) |
(*.f64 t y) |
t |
x |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
z |
t |
#s(literal 2 binary64) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 #s(literal 2 binary64) t) z x)) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z x) |
z |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
x |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) y x) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z z) |
#s(literal -2 binary64) |
x |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) z) #s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) y x) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t)) |
#s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) |
(fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) |
(*.f64 z (/.f64 z t)) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
t |
#s(literal -2 binary64) |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 z (/.f64 z t)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) | |
| accuracy | 4.519004758979774 | (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) | |
| accuracy | 10.28487323861867 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 z z) #s(literal -2 binary64)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) | |
| accuracy | 10.28487323861867 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) | |
| accuracy | 29.074008331528912 | #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.10546875 | (fma.f64 z (/.f64 #s(literal 2 binary64) t) x) | |
| accuracy | 24.047782585308624 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) | |
| accuracy | 0.0 | (/.f64 z t) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 z t) #s(literal 2 binary64)) | |
| accuracy | 24.047782585308624 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) | |
| accuracy | 29.015094594867914 | #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 t y) | |
| accuracy | 0.9609313074906174 | (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) | |
| accuracy | 10.28487323861867 | (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
| 156.0ms | 256× | 0 | valid |
Compiled 246 to 37 computations (85% saved)
ival-mult: 53.0ms (67.2% of total)ival-div: 15.0ms (19% of total)ival-add: 8.0ms (10.1% of total)ival-sub: 2.0ms (2.5% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(+.f64 z z) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x) |
(/.f64 #s(literal 2 binary64) t) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(*.f64 t y) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z (/.f64 z t)) |
| Outputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
x |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* t y) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(/ z t) |
(/ (pow z 2) t) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ 2 t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | z | @ | 0 | ((+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* z (/ 2 t)) x) (/ 2 t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* t y) (* (* z z) -2) (* z (/ z t))) |
| 3.0ms | z | @ | inf | ((+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* z (/ 2 t)) x) (/ 2 t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* t y) (* (* z z) -2) (* z (/ z t))) |
| 3.0ms | z | @ | -inf | ((+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* z (/ 2 t)) x) (/ 2 t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* t y) (* (* z z) -2) (* z (/ z t))) |
| 2.0ms | t | @ | -inf | ((+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* z (/ 2 t)) x) (/ 2 t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* t y) (* (* z z) -2) (* z (/ z t))) |
| 2.0ms | t | @ | 0 | ((+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ z t) 2) (/ z t) (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* z (/ 2 t)) x) (/ 2 t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (* z 2) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (* z 2) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* t y) (* (* z z) -2) (* z (/ z t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 1930 |
| 1 | 1510 | 1862 |
| 2 | 5139 | 1860 |
| 0 | 8738 | 1750 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
x |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(* t y) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(/ z t) |
(/ (pow z 2) t) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ 2 t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
| Outputs |
|---|
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) x) |
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* 2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
x |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (/.f64 z x)) x) |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 y x) z) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) #s(literal 1 binary64))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 y z) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
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(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 #s(literal 2 binary64) z (*.f64 x t)) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) #s(literal 8 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y))) (neg.f64 t))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 245 |
| 0 | 70 | 243 |
| 1 | 256 | 231 |
| 2 | 1833 | 231 |
| 0 | 8343 | 231 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(+.f64 z z) |
(/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) |
(fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 z t) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
(fma.f64 z (/.f64 #s(literal 2 binary64) t) x) |
(/.f64 #s(literal 2 binary64) t) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(*.f64 z #s(literal 2 binary64)) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(*.f64 t y) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z (/.f64 z t)) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 2 binary64) z)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 2 binary64) z)) (*.f64 x (*.f64 (neg.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64)) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (neg.f64 x) x))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z)))) x))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) (*.f64 (*.f64 #s(literal 2 binary64) z) x)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))))) (*.f64 (pow.f64 (*.f64 (/.f64 y (-.f64 (*.f64 t y) (*.f64 #s(literal 2 binary64) z))) z) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) z) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) z) #s(literal 2 binary64) x) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) z x) |
(fma.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) (*.f64 #s(literal 2 binary64) z) x) |
(fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x) |
(fma.f64 #s(literal 2 binary64) (*.f64 z (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) x) |
(fma.f64 z (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (*.f64 #s(literal 2 binary64) z))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(-.f64 x (*.f64 (neg.f64 z) (/.f64 (*.f64 #s(literal 2 binary64) y) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x) |
(+.f64 x (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) y) z) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(/.f64 (neg.f64 y) (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) |
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(neg.f64 (/.f64 y (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(*.f64 t y) |
(*.f64 y t) |
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z)) (neg.f64 z)) |
(*.f64 (*.f64 #s(literal -2 binary64) z) z) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal -2 binary64))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 z z)) |
(*.f64 z (*.f64 #s(literal -2 binary64) z)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z t) z) |
(*.f64 z (/.f64 z t)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 t)) |
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z z) t) |
Compiled 21 606 to 1 950 computations (91% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 479 | 3 | 482 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 481 | 8 | 489 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.5% | (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
| ▶ | 89.7% | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
| ▶ | 54.5% | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
| ✓ | 63.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ✓ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
| ✓ | 17.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ▶ | 17.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
Compiled 195 to 136 computations (30.3% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) | |
| cost-diff | 0 | (+.f64 z z) | |
| cost-diff | 0 | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) | |
| cost-diff | 2 | (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) | |
| cost-diff | 0 | #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) | |
| cost-diff | 0 | (+.f64 z z) | |
| cost-diff | 0 | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) t) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) | |
| cost-diff | 0 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 227 |
| 0 | 54 | 227 |
| 1 | 102 | 227 |
| 2 | 244 | 227 |
| 3 | 668 | 227 |
| 4 | 1654 | 223 |
| 5 | 3296 | 223 |
| 6 | 5028 | 223 |
| 7 | 6970 | 223 |
| 0 | 8202 | 209 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(+.f64 z z) |
z |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z z) |
#s(literal -2 binary64) |
x |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(+.f64 z z) |
z |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t)) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) |
(*.f64 z (/.f64 z t)) |
(/.f64 z t) |
t |
#s(literal -2 binary64) |
x |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) t) |
#s(literal 2 binary64) |
t |
z |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 #s(literal -2 binary64) z) z))) (*.f64 z y) x) |
(+.f64 z z) |
(*.f64 z #s(literal 2 binary64)) |
z |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 #s(literal -2 binary64) z) z))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 #s(literal -2 binary64) z) z)) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 (*.f64 #s(literal -2 binary64) z) z) |
(*.f64 z z) |
#s(literal -2 binary64) |
x |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(fma.f64 (/.f64 #s(literal 2 binary64) #s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) (*.f64 z y) x) |
(+.f64 z z) |
(*.f64 z #s(literal 2 binary64)) |
z |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)))) |
y |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t)) |
#s(approx (+ (* -2 (* z z)) (* t y)) (fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (*.f64 #s(literal -2 binary64) z) z (*.f64 t y)) |
(fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) |
(fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) |
(*.f64 z (/.f64 z t)) |
(*.f64 (/.f64 z t) z) |
(/.f64 z t) |
t |
#s(literal -2 binary64) |
x |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.140625 | (*.f64 z (/.f64 z t)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) | |
| accuracy | 4.519004758979774 | (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) | |
| accuracy | 10.28487323861867 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 z z) #s(literal -2 binary64)) | |
| accuracy | 1.7409474247628982 | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) | |
| accuracy | 10.28487323861867 | (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) | |
| accuracy | 29.074008331528912 | #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 2 binary64) t) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 #s(literal 2 binary64) t) z) | |
| accuracy | 24.047782585308624 | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) | |
| accuracy | 29.015094594867914 | #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
| 66.0ms | 256× | 0 | valid |
Compiled 162 to 34 computations (79% saved)
ival-mult: 30.0ms (65.9% of total)ival-div: 7.0ms (15.4% of total)ival-add: 6.0ms (13.2% of total)ival-sub: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(+.f64 z z) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z (/.f64 z t)) |
| Outputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* t y) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(/ (pow z 2) t) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ 2 t) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | z | @ | inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ 2 t) z) (/ 2 t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* (* z z) -2) (* z (/ z t))) |
| 3.0ms | z | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ 2 t) z) (/ 2 t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* (* z z) -2) (* z (/ z t))) |
| 1.0ms | t | @ | -inf | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ 2 t) z) (/ 2 t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* (* z z) -2) (* z (/ z t))) |
| 1.0ms | t | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ 2 t) z) (/ 2 t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* (* z z) -2) (* z (/ z t))) |
| 1.0ms | z | @ | 0 | ((- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (+ (* (/ z t) 2) x) (* (/ 2 t) z) (/ 2 t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (+ z z) (/ y (+ (* -2 (* z z)) (* t y))) (+ (* -2 (* z z)) (* t y)) (* (+ (* (* z (/ z t)) -2) y) t) (+ (* (+ z z) (/ y (+ (* -2 (* z z)) (* t y)))) x) (/ y (+ (* -2 (* z z)) (* t y))) (* (* z z) -2) (* z (/ z t))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 474 | 1915 |
| 1 | 1510 | 1859 |
| 2 | 5136 | 1857 |
| 0 | 8734 | 1747 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(* 2 (/ z t)) |
(+ x (* 2 (/ z t))) |
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(+ x (* -1 (/ y z))) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(* -1/2 (/ y (pow z 2))) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(* -2 (pow z 2)) |
(+ (* -2 (pow z 2)) (* t y)) |
(- x (* -2 (/ z t))) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(/ 1 t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(* t y) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(* 2 z) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(/ (pow z 2) t) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(- x (/ y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(/ (+ (* 2 z) (* t x)) t) |
(/ 2 t) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
| Outputs |
|---|
(* -2 (/ (* y z) (- (* 2 (pow z 2)) (* t y)))) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) |
(- x (* 2 (/ (* y z) (- (* 2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 z (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* 2 (/ z t)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(+ x (* 2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y)))) |
(*.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) |
(+ x (* 2 (/ (* y z) (+ (* -2 (pow z 2)) (* t y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) y) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) x) |
x |
(* x (+ 1 (* -2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (/.f64 (*.f64 (/.f64 y x) z) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64)))) x) |
(* x (+ 1 (* 2 (/ z (* t x))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z t) x) #s(literal 2 binary64) #s(literal 1 binary64)) x) |
(* x (+ 1 (* 2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (/.f64 y (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y))) (/.f64 z x)) x) |
(* -1 (* x (- (* 2 (/ (* y z) (* x (- (* 2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (*.f64 z y) (fma.f64 (neg.f64 t) y (*.f64 (*.f64 z z) #s(literal 2 binary64))))) #s(literal 1 binary64))) |
(* -1 (* x (- (* -2 (/ z (* t x))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (/.f64 (/.f64 z t) x) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(* -1 (* x (- (* -2 (/ (* y z) (* x (+ (* -2 (pow z 2)) (* t y))))) 1))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 y x)) (/.f64 z (fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)))) #s(literal 1 binary64))) |
(+ x (* -1 (/ y z))) |
(-.f64 x (/.f64 y z)) |
(+ x (* y (- (* -1/2 (/ (* t y) (pow z 3))) (/ 1 z)))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64)) y) (/.f64 #s(literal 1 binary64) z)) y x) |
(+ x (* y (- (* y (- (* -1/4 (/ (* (pow t 2) y) (pow z 5))) (* 1/2 (/ t (pow z 3))))) (/ 1 z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) y) (/.f64 #s(literal 1 binary64) z)) y x) |
(+ x (* y (- (* y (+ (* -1/2 (/ t (pow z 3))) (* -1/4 (/ (* (pow t 2) y) (pow z 5))))) (/ 1 z)))) |
(fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 5 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 3 binary64))) #s(literal -1/2 binary64))) y) (/.f64 #s(literal 1 binary64) z)) y x) |
(* -1/2 (/ y (pow z 2))) |
(*.f64 (/.f64 (/.f64 y z) z) #s(literal -1/2 binary64)) |
(* y (- (* -1/4 (/ (* t y) (pow z 4))) (* 1/2 (/ 1 (pow z 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (/.f64 y (pow.f64 z #s(literal 4 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) y) |
(* y (- (* y (- (* -1/8 (/ (* (pow t 2) y) (pow z 6))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (/.f64 y (pow.f64 z #s(literal 6 binary64))) (*.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) #s(literal -1/4 binary64))) y (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) y) |
(* y (- (* y (- (* y (- (* -1/16 (/ (* (pow t 3) y) (pow z 8))) (* 1/8 (/ (pow t 2) (pow z 6))))) (* 1/4 (/ t (pow z 4))))) (* 1/2 (/ 1 (pow z 2))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 y (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 t t)) (pow.f64 z #s(literal 6 binary64)))) y (*.f64 (/.f64 t (pow.f64 z #s(literal 4 binary64))) #s(literal -1/4 binary64))) y (/.f64 #s(literal -1/2 binary64) (*.f64 z z))) y) |
(* -2 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(+ (* -2 (pow z 2)) (* t y)) |
(fma.f64 (*.f64 z z) #s(literal -2 binary64) (*.f64 t y)) |
(- x (* -2 (/ z t))) |
(fma.f64 (/.f64 z t) #s(literal 2 binary64) x) |
(- (+ x (* 4 (/ (pow z 3) (* (pow t 2) y)))) (* -2 (/ z t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(- (+ x (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))) |
(- (+ x (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3))))) (+ (* -8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (+ (* -4 (/ (pow z 3) (* (pow t 2) y))) (* -2 (/ z t))))) |
(fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) (pow.f64 t #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)))) |
(+ x (+ (* 2 (/ z t)) (* 4 (/ (pow z 3) (* (pow t 2) y))))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2))))))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))) |
(+ x (+ (* 2 (/ z t)) (+ (* 4 (/ (pow z 3) (* (pow t 2) y))) (+ (* 8 (/ (pow z 5) (* (pow t 3) (pow y 2)))) (* 16 (/ (pow z 7) (* (pow t 4) (pow y 3)))))))) |
(+.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (/.f64 (*.f64 (pow.f64 z #s(literal 7 binary64)) #s(literal 16 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 4 binary64)))))) |
(/ 1 t) |
(/.f64 #s(literal 1 binary64) t) |
(+ (* 2 (/ (pow z 2) (* (pow t 2) y))) (/ 1 t)) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t) |
(- (+ (* 4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (/ 1 t)) (* -2 (/ (pow z 2) (* (pow t 2) y)))) |
(fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t)) |
(- (+ (* 8 (/ (pow z 6) (* (pow t 4) (pow y 3)))) (/ 1 t)) (+ (* -4 (/ (pow z 4) (* (pow t 3) (pow y 2)))) (* -2 (/ (pow z 2) (* (pow t 2) y))))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t))) |
(* t y) |
(*.f64 t y) |
(* y (+ t (* -2 (/ (pow z 2) y)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) y) |
(- (+ x (* -1 (/ (- (* -8 (/ (pow z 5) (* (pow t 3) y))) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))) |
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ (pow z 7) (* (pow t 4) y))) (* -8 (/ (pow z 5) (pow t 3)))) y)) (* 4 (/ (pow z 3) (pow t 2)))) y))) (* -2 (/ z t))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y))) |
(+ x (+ (* -1 (/ (+ (* -8 (/ (pow z 5) (* (pow t 3) y))) (* -4 (/ (pow z 3) (pow t 2)))) y)) (* 2 (/ z t)))) |
(fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 5 binary64)) (*.f64 y y)) (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t))) |
(+ x (+ (* -1 (/ (+ (* -4 (/ (pow z 3) (pow t 2))) (* -1 (/ (+ (* 8 (/ (pow z 5) (pow t 3))) (* 16 (/ (pow z 7) (* (pow t 4) y)))) y))) y)) (* 2 (/ z t)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) z (-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) t) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (/.f64 (fma.f64 (/.f64 #s(literal 16 binary64) (pow.f64 t #s(literal 4 binary64))) (/.f64 (pow.f64 z #s(literal 7 binary64)) y) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 z #s(literal 5 binary64))) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y))) |
(+ (* -1 (/ (- (* -4 (/ (pow z 4) (* (pow t 3) y))) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 z z) #s(literal -2 binary64)) (*.f64 t t))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) t)) |
(+ (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 6) (* (pow t 4) y))) (* -4 (/ (pow z 4) (pow t 3)))) y)) (* 2 (/ (pow z 2) (pow t 2)))) y)) (/ 1 t)) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 z t) (/.f64 z t)) #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) y) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 y))) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) t)) |
(* -1 (* y (+ (* -1 t) (* 2 (/ (pow z 2) y))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal -2 binary64) t) y) |
(+ x (* z (+ (* 4 (/ (pow z 2) (* (pow t 2) y))) (* 2 (/ 1 t))))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* z (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 4 (/ 1 (* (pow t 2) y))))) (* 2 (/ 1 t))))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z (*.f64 y y)) (/.f64 z (pow.f64 t #s(literal 3 binary64)))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 t t) y))) (pow.f64 z #s(literal 3 binary64)) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(* 2 z) |
(*.f64 z #s(literal 2 binary64)) |
(+ (* (pow z 2) (+ (* 4 (/ (pow z 2) (* (pow t 3) (pow y 2)))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) y)) z) z (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 t t) y))) (*.f64 z z) (/.f64 #s(literal 1 binary64) t)) |
(+ (* (pow z 2) (+ (* (pow z 2) (+ (* 8 (/ (pow z 2) (* (pow t 4) (pow y 3)))) (* 4 (/ 1 (* (pow t 3) (pow y 2)))))) (* 2 (/ 1 (* (pow t 2) y))))) (/ 1 t)) |
(fma.f64 (fma.f64 (*.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) (/.f64 z (pow.f64 t #s(literal 4 binary64)))) #s(literal 8 binary64) (/.f64 #s(literal 4 binary64) (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) y) y))) (pow.f64 z #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t)) |
(/ (pow z 2) t) |
(*.f64 z (/.f64 z t)) |
(- (+ x (* -1/2 (/ (* t (pow y 2)) (pow z 3)))) (/ y z)) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(- (+ x (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))) (+ (* 1/2 (/ (* t (pow y 2)) (pow z 3))) (/ y z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* z (+ (* 2 (/ 1 t)) (/ x z))) |
(*.f64 (-.f64 (/.f64 x z) (/.f64 #s(literal -2 binary64) t)) z) |
(+ x (+ (* -1 (/ y z)) (* -1/2 (/ (* t (pow y 2)) (pow z 3))))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(+ x (+ (* -1 (/ y z)) (+ (* -1/2 (/ (* t (pow y 2)) (pow z 3))) (* -1/4 (/ (* (pow t 2) (pow y 3)) (pow z 5)))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ (+ (* -1/2 y) (* -1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(/ (- (+ (* -1/2 y) (* -1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4)))) (* 1/4 (/ (* t (pow y 2)) (pow z 2)))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) y))) (*.f64 z z)) |
(/ (- (+ (* -1/2 y) (* -1/16 (/ (* (pow t 3) (pow y 4)) (pow z 6)))) (+ (* 1/8 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/4 (/ (* t (pow y 2)) (pow z 2))))) (pow z 2)) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 t #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) t) t) (pow.f64 z #s(literal 4 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) y)))) (*.f64 z z)) |
(* (pow z 2) (- (/ (* t y) (pow z 2)) 2)) |
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) z) t) #s(literal 2 binary64)) z) z) |
(+ x (* -1 (/ (- (* 1/2 (/ (* t (pow y 2)) (pow z 2))) (* -1 y)) z))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (- (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (+ (* -1 y) (* -1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(* -1 (* z (- (* -1 (/ x z)) (* 2 (/ 1 t))))) |
(*.f64 (neg.f64 z) (fma.f64 (/.f64 x z) #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) t))) |
(+ x (* -1 (/ (+ y (* 1/2 (/ (* t (pow y 2)) (pow z 2)))) z))) |
(fma.f64 (*.f64 (*.f64 y y) (/.f64 t (pow.f64 z #s(literal 3 binary64)))) #s(literal -1/2 binary64) (-.f64 x (/.f64 y z))) |
(+ x (* -1 (/ (+ y (+ (* 1/4 (/ (* (pow t 2) (pow y 3)) (pow z 4))) (* 1/2 (/ (* t (pow y 2)) (pow z 2))))) z))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- x (/ y z)) |
(-.f64 x (/.f64 y z)) |
(- (+ x (* t (- (* -1/4 (/ (* t (pow y 3)) (pow z 5))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(- (+ x (* t (- (* t (- (* -1/8 (/ (* t (pow y 4)) (pow z 7))) (* 1/4 (/ (pow y 3) (pow z 5))))) (* 1/2 (/ (pow y 2) (pow z 3)))))) (/ y z)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(/ (+ (* 2 z) (* t x)) t) |
(/.f64 (fma.f64 t x (*.f64 z #s(literal 2 binary64))) t) |
(/ 2 t) |
(/.f64 #s(literal 2 binary64) t) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* -1/4 (/ (* t (pow y 3)) (pow z 5))))))) |
(fma.f64 (fma.f64 (*.f64 t #s(literal -1/4 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ x (+ (* -1 (/ y z)) (* t (+ (* -1/2 (/ (pow y 2) (pow z 3))) (* t (+ (* -1/4 (/ (pow y 3) (pow z 5))) (* -1/8 (/ (* t (pow y 4)) (pow z 7))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 7 binary64))) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64)) (pow.f64 z #s(literal 5 binary64)))) t (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) y) y) (pow.f64 z #s(literal 3 binary64)))) t (-.f64 x (/.f64 y z))) |
(+ (* -1/2 (/ y (pow z 2))) (* -1/4 (/ (* t (pow y 2)) (pow z 4)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) t) (*.f64 y (/.f64 (/.f64 y z) z)) (*.f64 #s(literal -1/2 binary64) y)) (*.f64 z z)) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* -1/8 (/ (* t (pow y 3)) (pow z 6))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) t) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64))) (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t)) |
(+ (* -1/2 (/ y (pow z 2))) (* t (- (* t (- (* -1/16 (/ (* t (pow y 4)) (pow z 8))) (* 1/8 (/ (pow y 3) (pow z 6))))) (* 1/4 (/ (pow y 2) (pow z 4)))))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) z) (/.f64 y z) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/16 binary64) t) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 z #s(literal 8 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 6 binary64)))) t (/.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 y y)) (pow.f64 z #s(literal 4 binary64)))) t)) |
(/ (+ 1 (* 2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (fma.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal 2 binary64) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 4 (/ (pow z 4) (* (pow t 2) (pow y 2))))) (* -2 (/ (pow z 2) (* t y)))) t) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64)) t) |
(/ (- (+ 1 (* 8 (/ (pow z 6) (* (pow t 3) (pow y 3))))) (+ (* -4 (/ (pow z 4) (* (pow t 2) (pow y 2)))) (* -2 (/ (pow z 2) (* t y))))) t) |
(/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) #s(literal 8 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) t) #s(literal 1 binary64))) t) |
(* t (+ y (* -2 (/ (pow z 2) t)))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(+ x (* -1 (/ (- (* -4 (/ (pow z 3) (* t y))) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (- (* -1 (/ (- (* 8 (/ (pow z 5) (* t (pow y 2)))) (* -4 (/ (pow z 3) y))) t)) (* 2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
(+ x (* -1 (/ (+ (* -4 (/ (pow z 3) (* t y))) (* -2 z)) t))) |
(-.f64 x (/.f64 (fma.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (pow.f64 z #s(literal 3 binary64)) t) (*.f64 #s(literal -2 binary64) z)) t)) |
(+ x (* -1 (/ (+ (* -2 z) (* -1 (/ (+ (* 4 (/ (pow z 3) y)) (* 8 (/ (pow z 5) (* t (pow y 2))))) t))) t))) |
(-.f64 x (/.f64 (fma.f64 #s(literal -2 binary64) z (/.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 5 binary64)) t) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) #s(literal 4 binary64))) (neg.f64 t))) t)) |
(* -1 (/ (- (* -2 (/ (pow z 2) (* t y))) 1) t)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 z (/.f64 z t)) y) #s(literal -2 binary64)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ (pow z 4) (* t (pow y 2)))) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 y y)) (/.f64 (pow.f64 z #s(literal 4 binary64)) t) (*.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -8 (/ (pow z 6) (* t (pow y 3)))) (* 4 (/ (pow z 4) (pow y 2)))) t)) (* -2 (/ (pow z 2) y))) t)) 1) t)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 z z) y) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 6 binary64)) t) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 y y))) (neg.f64 t))) (neg.f64 t)) #s(literal 1 binary64)) (neg.f64 t)) |
(* -1 (* t (+ (* -1 y) (* 2 (/ (pow z 2) t))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 178 |
| 0 | 54 | 178 |
| 1 | 204 | 166 |
| 2 | 1575 | 166 |
| 0 | 8515 | 164 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(/.f64 #s(literal 2 binary64) t) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(+.f64 z z) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) |
#s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 z (/.f64 z t)) |
| Outputs |
|---|
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 (fma.f64 z z #s(literal 0 binary64)) (fma.f64 z z #s(literal 0 binary64))) (*.f64 (/.f64 z t) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) t)) |
(*.f64 (/.f64 z t) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) t) z) |
(*.f64 z (/.f64 #s(literal 2 binary64) t)) |
(*.f64 #s(literal 2 binary64) (/.f64 z t)) |
(/.f64 (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))) (-.f64 (/.f64 z t) (/.f64 z t))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z t) #s(literal 3 binary64)) (pow.f64 (/.f64 z t) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 z t) #s(literal 2 binary64)) (pow.f64 (/.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z))) (neg.f64 (neg.f64 t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) (neg.f64 t) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 z))) (*.f64 (neg.f64 (neg.f64 t)) (neg.f64 t))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 z)) t (*.f64 (neg.f64 (neg.f64 t)) z)) (*.f64 (neg.f64 (neg.f64 t)) t)) |
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 (neg.f64 t)) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 z)))) (*.f64 (neg.f64 t) (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 (neg.f64 z) (neg.f64 t) (*.f64 (neg.f64 t) (neg.f64 z))) (*.f64 t t)) |
(/.f64 (fma.f64 (neg.f64 z) t (*.f64 (neg.f64 t) z)) (*.f64 (neg.f64 t) t)) |
(/.f64 (fma.f64 z (neg.f64 (neg.f64 t)) (*.f64 t (neg.f64 (neg.f64 z)))) (*.f64 t (neg.f64 (neg.f64 t)))) |
(/.f64 (fma.f64 z (neg.f64 t) (*.f64 t (neg.f64 z))) (*.f64 t (neg.f64 t))) |
(/.f64 (fma.f64 z t (*.f64 t z)) (*.f64 t t)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z #s(literal 2 binary64)))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 (neg.f64 z) #s(literal 2 binary64)) (neg.f64 t)) |
(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) (neg.f64 (neg.f64 t))) |
(/.f64 (+.f64 (neg.f64 z) (neg.f64 z)) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) t))) |
(/.f64 (*.f64 #s(literal -2 binary64) z) (neg.f64 t)) |
(/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 0 binary64) t))) |
(/.f64 #s(literal 0 binary64) (*.f64 #s(literal 0 binary64) t)) |
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 z z #s(literal 0 binary64)) t)) |
(/.f64 (*.f64 z #s(literal 2 binary64)) t) |
(fma.f64 (neg.f64 z) (/.f64 (neg.f64 z) t) (*.f64 (/.f64 z t) z)) |
(fma.f64 (/.f64 z t) z (*.f64 (/.f64 z t) z)) |
(fma.f64 z (/.f64 z t) (*.f64 (/.f64 z t) z)) |
(-.f64 (/.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) t) (/.f64 (/.f64 (*.f64 z z) #s(literal 0 binary64)) t)) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) t)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) t))) |
(+.f64 (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) t) (/.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))) t)) |
(+.f64 (*.f64 (/.f64 z t) z) (*.f64 (/.f64 z t) z)) |
(+.f64 (/.f64 z t) (/.f64 z t)) |
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 #s(literal -2 binary64) (neg.f64 t)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal 2 binary64) t) |
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(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (*.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) z x) |
(fma.f64 (*.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) z) #s(literal 2 binary64) x) |
(fma.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) (*.f64 z #s(literal 2 binary64)) x) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x) |
(fma.f64 z (*.f64 #s(literal 2 binary64) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) x) |
(fma.f64 #s(literal 2 binary64) (*.f64 z (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x))) |
(-.f64 x (*.f64 (neg.f64 (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (*.f64 z #s(literal 2 binary64)))) |
(-.f64 x (*.f64 (neg.f64 (*.f64 z #s(literal 2 binary64))) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) x) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x))) |
(+.f64 (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) x) |
(+.f64 x (/.f64 (*.f64 z (*.f64 #s(literal 2 binary64) y)) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(/.f64 (neg.f64 y) (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))) |
(neg.f64 (/.f64 (neg.f64 y) #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t)))) |
(neg.f64 (/.f64 y (neg.f64 #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 (/.f64 z t) z) #s(literal -2 binary64) y) t))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (neg.f64 z)) (neg.f64 z)) |
(*.f64 (*.f64 #s(literal -2 binary64) z) z) |
(*.f64 (neg.f64 z) (*.f64 (neg.f64 z) #s(literal -2 binary64))) |
(*.f64 (*.f64 z z) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (*.f64 z z)) |
(*.f64 z (*.f64 #s(literal -2 binary64) z)) |
(*.f64 (neg.f64 z) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z t) z) |
(*.f64 z (/.f64 z t)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 (neg.f64 z) z) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 z z)) (neg.f64 t)) |
(/.f64 (*.f64 z z) (neg.f64 (neg.f64 t))) |
(/.f64 (*.f64 z z) t) |
Compiled 21 243 to 1 522 computations (92.8% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 451 | 0 | 451 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 3 | 3 |
| Done | 0 | 5 | 5 |
| Total | 451 | 8 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.5% | (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
| ✓ | 89.7% | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
| ✓ | 54.5% | (fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
| ✓ | 63.5% | (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| ✓ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
| ✓ | 62.4% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
| ✓ | 17.8% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| ✓ | 17.7% | #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
Compiled 545 to 216 computations (60.4% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal -2 binary64) y) t))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (fma.f64 (*.f64 z (/.f64 z t)) #s(literal 2 binary64) (neg.f64 y)) t)))) |
| Outputs |
|---|
(fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 5.0ms | y |
| 5.0ms | t |
| 4.0ms | z |
| 4.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.4% | 2 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 95.4% | 2 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 90.5% | 1 | x |
| 90.5% | 1 | y |
| 95.9% | 3 | z |
| 90.5% | 1 | t |
Compiled 36 to 41 computations (-13.9% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(fma.f64 (+.f64 z z) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (neg.f64 t) y)))) |
(fma.f64 (*.f64 z #s(literal 2 binary64)) (/.f64 y #s(approx (+ (* -2 (* z z)) (* t y)) (*.f64 (*.f64 z z) #s(literal -2 binary64)))) x) |
(-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) #s(approx (- (* (* z 2) z) (* y t)) (*.f64 (*.f64 z z) #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 4.0ms | z |
| 3.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.2% | 4 | x |
| 75.1% | 3 | y |
| 73.6% | 3 | t |
| 92.7% | 3 | z |
| 74.6% | 4 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 71.4% | 2 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
Compiled 36 to 41 computations (-13.9% saved)
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
1 calls:
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.7% | 3 | z |
Compiled 1 to 4 computations (-300% saved)
Total -38.8b remaining (-166%)
Threshold costs -38.8b (-166%)
| Inputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 #s(literal 2 binary64) t) z))) |
#s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) #s(approx (+ (* (/ z t) 2) x) (*.f64 (/.f64 z t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
6 calls:
| 3.0ms | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 2.0ms | x |
| 2.0ms | z |
| 1.0ms | y |
| 1.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.5% | 1 | x |
| 63.5% | 1 | (-.f64 x (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t)))) |
| 63.5% | 1 | (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) |
| 63.5% | 1 | t |
| 63.5% | 1 | y |
| 63.5% | 1 | z |
Compiled 36 to 41 computations (-13.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.1454416404182044e+182 | +inf |
Compiled 20 to 20 computations (0% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.00341694843505813 | 1.4176538243994135 |
| 11.0ms | -6.522287775056001e-23 | -4.381027800358778e-24 |
| 19.0ms | 224× | 0 | valid |
Compiled 650 to 496 computations (23.7% saved)
ival-mult: 7.0ms (54.7% of total)ival-sub: 4.0ms (31.3% of total)ival-div: 1.0ms (7.8% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00341694843505813 | 1.4176538243994135 |
| 1.0ms | -6.522287775056001e-23 | -4.381027800358778e-24 |
Compiled 650 to 496 computations (23.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 183 |
| 1 | 73 | 183 |
| 2 | 120 | 183 |
| 3 | 203 | 183 |
| 4 | 395 | 183 |
| 5 | 807 | 183 |
| 6 | 1193 | 183 |
| 7 | 2948 | 183 |
| 8 | 4701 | 183 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) z) (-.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) z) (*.f64 y t))) #s(literal 499999999999999973297436475782614169496763434109744428272285720156797353246877991443480012589546764662496833043557678065517614119776368694263139634039071761845879577452943421992861696 binary64)) (fma.f64 (+.f64 z z) (/.f64 y (fma.f64 #s(literal -2 binary64) (*.f64 z z) (*.f64 t y))) x) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z)))) |
(if (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (or (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (not (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 (/.f64 z t) #s(literal 2 binary64) x))) |
(if (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) (if (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x)) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))))) |
(if (or (<=.f64 z #s(literal -5614659054195485/340282366920938463463374607431768211456 binary64)) (not (<=.f64 z #s(literal 4278419646001971/4503599627370496 binary64)))) (-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) #s(approx (- x (/ (* (* y 2) z) (- (* (* z 2) z) (* y t)))) (fma.f64 z (/.f64 #s(literal 2 binary64) t) x))) |
(-.f64 x #s(approx (/ (* (* y 2) z) (- (* (* z 2) z) (* y t))) (/.f64 y z))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 347 | 1481 |
| 1 | 1100 | 1417 |
| 2 | 4018 | 1408 |
| 0 | 8613 | 1321 |
| 0 | 37 | 245 |
| 0 | 59 | 245 |
| 1 | 204 | 245 |
| 2 | 1417 | 245 |
| 0 | 8784 | 245 |
| 0 | 13 | 49 |
| 0 | 21 | 49 |
| 1 | 64 | 49 |
| 2 | 418 | 49 |
| 3 | 5546 | 49 |
| 0 | 8576 | 45 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 183 to 48 computations (73.8% saved)
Compiled 426 to 146 computations (65.7% saved)
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