
Time bar (total: 9.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 5 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 6 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 7 |
| 6.7% | 6.2% | 87.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 20.7% | 18.7% | 71.8% | 0.1% | 0% | 9.4% | 0% | 9 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 10 |
| 34.5% | 29.6% | 56.2% | 0.1% | 0% | 14% | 0% | 11 |
| 50.5% | 42.1% | 41.3% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 760.0ms | 2 201× | 1 | valid |
| 753.0ms | 6 055× | 0 | valid |
| 75.0ms | 935× | 0 | invalid |
| 2.0ms | 19× | 1 | exit |
ival-log: 437.0ms (36.6% of total)ival-add: 311.0ms (26.1% of total)ival-div: 182.0ms (15.3% of total)ival-exp: 118.0ms (9.9% of total)ival-mult: 85.0ms (7.1% of total)adjust: 49.0ms (4.1% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 145 | 28 | (1.2653511002251242e-18 2.298376769957656e+306 2.5880055236779748e-129) | 2 | (-2.5454058180155408e-45 1.4416606248701376e-283 8.448456256825285e+37) | (log.f64 (/.f64 y (+.f64 z y))) |
| 34 | 0 | - | 6 | (5.535604973092891e-254 -1.8290249316888606e+145 -3.8048971762213404e-171) | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
| 0 | 0 | - | 0 | - | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 y (+.f64 z y)) |
| 0 | 0 | - | 0 | - | (+.f64 z y) |
| 0 | 0 | - | 0 | - | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | sensitivity | 162 | 0 |
log.f64 | (log.f64 (/.f64 y (+.f64 z y))) | uflow-rescue | 9 | 0 |
| ↳ | (log.f64 (/.f64 y (+.f64 z y))) | underflow | 28 | |
| ↳ | (/.f64 y (+.f64 z y)) | underflow | 9 | |
*.f64 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | n*u | 7 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 36 | 0 |
| - | 135 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 36 | 0 | 0 |
| - | 135 | 0 | 85 |
| number | freq |
|---|---|
| 0 | 85 |
| 1 | 164 |
| 2 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 74.0ms | 272× | 1 | valid |
| 34.0ms | 196× | 0 | valid |
| 20.0ms | 44× | 2 | valid |
Compiled 133 to 34 computations (74.4% saved)
ival-log: 58.0ms (57% of total)ival-div: 13.0ms (12.8% of total)ival-exp: 9.0ms (8.8% of total)ival-add: 9.0ms (8.8% of total)adjust: 7.0ms (6.9% of total)ival-mult: 6.0ms (5.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 782× | div-sub |
| 850× | sub-neg |
| 614× | times-frac |
| 612× | distribute-rgt-in |
| 612× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 130 |
| 1 | 106 | 104 |
| 2 | 224 | 102 |
| 3 | 480 | 102 |
| 4 | 1083 | 102 |
| 5 | 2262 | 100 |
| 6 | 3232 | 100 |
| 7 | 4472 | 100 |
| 8 | 5310 | 100 |
| 9 | 6024 | 100 |
| 10 | 6426 | 100 |
| 11 | 6651 | 100 |
| 12 | 6930 | 100 |
| 13 | 7226 | 100 |
| 14 | 7480 | 100 |
| 15 | 7805 | 100 |
| 16 | 7903 | 100 |
| 17 | 7905 | 100 |
| 18 | 7905 | 100 |
| 19 | 7905 | 100 |
| 20 | 7973 | 100 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 22 | 11 |
| 2 | 25 | 11 |
| 3 | 25 | 11 |
| 0 | 25 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) | |
| cost-diff | 6656 | (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
| 8× | lower-+.f32 |
| 6× | lower-exp.f32 |
| 4× | lift-+.f64 |
| 4× | lift-/.f64 |
| 4× | exp-prod |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 58 |
| 0 | 17 | 58 |
| 1 | 22 | 52 |
| 2 | 25 | 52 |
| 3 | 25 | 52 |
| 0 | 25 | 52 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(*.f64 (log.f64 (/.f64 y (+.f64 z y))) y) |
y |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 z y)) | |
| accuracy | 7.550718018505175 | (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) | |
| accuracy | 32.397907833323586 | (log.f64 (/.f64 y (+.f64 z y))) |
| 37.0ms | 98× | 0 | valid |
| 36.0ms | 136× | 1 | valid |
| 10.0ms | 22× | 2 | valid |
Compiled 60 to 12 computations (80% saved)
ival-log: 21.0ms (49.7% of total)ival-div: 6.0ms (14.2% of total)ival-exp: 4.0ms (9.5% of total)ival-add: 4.0ms (9.5% of total)adjust: 3.0ms (7.1% of total)ival-mult: 3.0ms (7.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ()) |
#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) (taylor 0 z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) (patch (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ z y)) 1)) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) (taylor 0 z) (#s(alt (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) (patch (*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (taylor 0 z) (#s(alt (log.f64 (/.f64 y (+.f64 z y))) (patch (log.f64 (/.f64 y (+.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ z y))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) (taylor 0 z) (#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (exp (* y (+ (log y) (log (/ 1 z))))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) (taylor inf z) (#s(alt (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) (patch (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) (patch (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | 0 | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 5.0ms | z | @ | inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 5.0ms | y | @ | inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 3.0ms | y | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 3.0ms | z | @ | -inf | ((exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (* y (log (/ y (+ z y)))) (log (/ y (+ z y))) (/ y (+ z y))) |
| 1× | egg-herbie |
| 9 370× | lower-fma.f64 |
| 9 370× | lower-fma.f32 |
| 5 308× | lower-*.f64 |
| 5 308× | lower-*.f32 |
| 3 480× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 603 | 4112 |
| 1 | 1814 | 3486 |
| 2 | 6083 | 3379 |
| 0 | 8215 | 3225 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(* -1 z) |
(* z (- (* 1/2 (/ z y)) 1)) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(* -1 (/ z y)) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
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(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
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(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
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(* y (+ (log y) (log (/ 1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(/ y z) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (/ (pow y 2) z)) z) |
(/ (- (+ y (* -1 (/ (pow y 4) (pow z 3)))) (+ (* -1 (/ (pow y 3) (pow z 2))) (/ (pow y 2) z))) z) |
(exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) z)) (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4))))) z)) (* (pow y 2) (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z))) |
(+ x (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(+ x (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y))) |
(/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z)))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y z))) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))))) (+ (* 1/6 (pow y 6)) (* 1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))))) (* y z))) (/ (* (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) y)) z)) (* y (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))))) z)) (/ (exp (* y (+ (log (* -1 y)) (log (/ -1 z))))) y)) |
(* y (+ (log (* -1 y)) (log (/ -1 z)))) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3))))) z)) (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))))) z)) (pow y 2)) z)) (* y (+ (log (* -1 y)) (log (/ -1 z))))) |
(+ (log (* -1 y)) (log (/ -1 z))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ y z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) z))) z)))) |
(+ (log (* -1 y)) (+ (log (/ -1 z)) (* -1 (/ (+ y (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow y 3)) (+ (* 2 (pow y 3)) (* 6 (pow y 3)))) z)) (* 1/2 (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) z))) z)))) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (/ (pow y 2) z)) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (pow y 3)) z)) (pow y 2)) z))) z)) |
1 |
(+ 1 (* y (+ (log y) (log (/ 1 z))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) |
(+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) |
(/ 1 y) |
(/ (+ 1 (* y (+ x (+ (log y) (log (/ 1 z)))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z)))))))) y) |
(/ (+ 1 (* y (+ x (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z)))))))) y) |
(/ 1 y) |
(/ (+ 1 (* y (+ (log y) (log (/ 1 z))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (/ 1 z))))))) y) |
(/ (+ 1 (* y (+ (log y) (+ (log (/ 1 z)) (* y (- (+ (* 1/2 (pow (+ (log y) (log (/ 1 z))) 2)) (* y (+ (* -1 (/ (+ (log y) (log (/ 1 z))) z)) (+ (* 1/6 (pow (+ (log y) (log (/ 1 z))) 3)) (* 1/2 (/ 1 (pow z 2))))))) (/ 1 z))))))) y) |
(* y (+ (log y) (log (/ 1 z)))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z)))))) |
(* y (+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z)))))) |
(+ (log y) (log (/ 1 z))) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* 1/2 (/ y (pow z 2))) (/ 1 z))))) |
(+ (log y) (+ (log (/ 1 z)) (* y (- (* y (+ (* -1/3 (/ y (pow z 3))) (* 1/2 (/ 1 (pow z 2))))) (/ 1 z))))) |
(/ y z) |
(* y (+ (* -1 (/ y (pow z 2))) (/ 1 z))) |
(* y (+ (* y (- (/ y (pow z 3)) (/ 1 (pow z 2)))) (/ 1 z))) |
(* y (+ (* y (- (* y (+ (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) |
(+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (/ (exp (* -1 z)) y))) |
(+ x (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (pow y 2))) (+ (/ (exp (* -1 z)) y) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 3))))) |
(/ (exp (* -1 z)) y) |
(/ (+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2)))) y) |
(/ (+ (exp (* -1 z)) (+ (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (+ (/ (* (exp (* -1 z)) (+ (* 1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (+ (* 1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) (pow y 3)) (/ (* (exp (* -1 z)) (+ (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3))))))) (pow y 2))))) y) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) |
(+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) |
(* -1 (/ z y)) |
(/ (+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y) |
(/ (+ (* -1 z) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y)))) y) |
(/ (+ (* -1 z) (+ (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) (pow y 3))) (+ (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* -2 (pow z 3)) (* 6 (pow z 3)))) (pow y 2))) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))))) y) |
1 |
(+ 1 (* -1 (/ z y))) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (/ z y)) |
(- (+ 1 (* -1 (/ (pow z 3) (pow y 3)))) (+ (* -1 (/ (pow z 2) (pow y 2))) (/ z y))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
(* -1 (/ z y)) |
(* -1 (/ (+ z (* -1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
(* -1 (/ (+ z (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y)) (* 1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))))) y)) (* 1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) y)) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(-.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 z y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (neg.f64 z) y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 (neg.f64 z) y) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (* 1/2 (/ z y)) 1)) |
(*.f64 (fma.f64 (/.f64 z y) #s(literal 1/2 binary64) #s(literal -1 binary64)) z) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 2))) (* 1/2 (/ 1 y)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (*.f64 y y))) z (/.f64 #s(literal 1/2 binary64) y)) z #s(literal -1 binary64)) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (* 1/2 (/ z (pow y 2))) (/ 1 y))) |
(*.f64 (fma.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) y)) z) |
(* z (- (* z (+ (* -1/3 (/ z (pow y 3))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 3 binary64))) #s(literal -1/3 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) z (/.f64 #s(literal -1 binary64) y)) z) |
(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 4))) (* 1/3 (/ 1 (pow y 3))))) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 z (pow.f64 y #s(literal 4 binary64))) #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) (pow.f64 y #s(literal 3 binary64)))) z (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) z (/.f64 #s(literal -1 binary64) y)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(+ 1 (* z (- (/ z (pow y 2)) (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 z) (/.f64 z y) z) y)) |
(+ 1 (* z (- (* z (+ (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 z (pow.f64 y #s(literal 3 binary64)))) z (/.f64 #s(literal -1 binary64) y)) z #s(literal 1 binary64)) |
(exp (* y (+ (log y) (log (/ 1 z))))) |
(pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z))) |
(fma.f64 (neg.f64 y) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y z)) (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z)))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2)))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (*.f64 z z)) (fma.f64 (neg.f64 y) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y z)) (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))))) |
(+ (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1 (/ (* (pow y 2) (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (pow z 3)) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (pow z 2))))) |
(fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (neg.f64 y) (*.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y z)) (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))))) |
(+ x (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(+.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) x) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
(+.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) x) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(+.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) x) (fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (*.f64 (*.f64 z z) y)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))) |
(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))))) |
(+.f64 (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) x) (fma.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))) |
(/ (exp (* y (+ (log y) (log (/ 1 z))))) y) |
(/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y)) |
(fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y)) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2))))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (*.f64 (*.f64 z z) y)) (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))) |
(+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (+ (/ (exp (* y (+ (log y) (log (/ 1 z))))) y) (+ (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* -1/2 (* (pow y 3) (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (+ (* -1/6 (pow y 6)) (* 1/6 (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))))))) (* y (pow z 3))) (/ (* (exp (* y (+ (log y) (log (/ 1 z))))) (+ (* 1/2 (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2))))) (* 1/2 (pow y 4)))) (* y (pow z 2)))))) |
(fma.f64 (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) z) (/.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) y) #s(literal -1/2 binary64) (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) y) #s(literal 1/6 binary64) (*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1/6 binary64)))) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) (/.f64 y (neg.f64 z)) (/.f64 (pow.f64 (exp.f64 y) (-.f64 (log.f64 y) (log.f64 z))) y))) |
(* y (+ (log y) (log (/ 1 z)))) |
(*.f64 (-.f64 (log.f64 y) (log.f64 z)) y) |
(+ (* -1 (/ (pow y 2) z)) (* y (+ (log y) (log (/ 1 z))))) |
(*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z)))))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y)) |
(+ (* -1 (/ (pow y 2) z)) (+ (* 1/6 (/ (* y (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3))))) (pow z 3))) (+ (* 1/2 (/ (* y (+ (* -1 (pow y 2)) (* 2 (pow y 2)))) (pow z 2))) (* y (+ (log y) (log (/ 1 z))))))) |
(fma.f64 (*.f64 #s(literal 1/6 binary64) y) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/2 binary64) z) (/.f64 (pow.f64 y #s(literal 3 binary64)) z) (*.f64 (-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) y))) |
(+ (log y) (log (/ 1 z))) |
(-.f64 (log.f64 y) (log.f64 z)) |
(+ (log y) (+ (log (/ 1 z)) (* -1 (/ y z)))) |
(-.f64 (-.f64 (log.f64 y) (log.f64 z)) (/.f64 y z)) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2)))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 1/2 binary64) (-.f64 (/.f64 y (neg.f64 z)) (log.f64 z))) (log.f64 y)) |
(+ (log y) (+ (log (/ 1 z)) (+ (* -1 (/ y z)) (+ (* 1/6 (/ (+ (* -6 (pow y 3)) (+ (* -2 (pow y 3)) (* 6 (pow y 3)))) (pow z 3))) (* 1/2 (/ (+ (* -1 (pow y 2)) (* 2 (pow y 2))) (pow z 2))))))) |
(+.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 y y) z) z) #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1/6 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 y z)) (log.f64 z)) (log.f64 y)) |
(/ y z) |
(/.f64 y z) |
(/ (+ y (* -1 (/ (pow y 2) z))) z) |
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(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x))) |
| 3 390× | lower-*.f32 |
| 3 388× | lower-*.f64 |
| 3 144× | lower-fma.f64 |
| 3 144× | lower-fma.f32 |
| 2 802× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 52 |
| 0 | 17 | 52 |
| 1 | 64 | 46 |
| 2 | 458 | 46 |
| 3 | 6457 | 46 |
| 0 | 8028 | 46 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
(/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
(*.f64 y (log.f64 (/.f64 y (+.f64 z y)))) |
(log.f64 (/.f64 y (+.f64 z y))) |
(/.f64 y (+.f64 z y)) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64))) (pow.f64 (/.f64 y (+.f64 z y)) (/.f64 y #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) y) (pow.f64 (-.f64 z y) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y)) |
(*.f64 (pow.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (neg.f64 y) y) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 z y)) y)) |
(*.f64 (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) (pow.f64 y y)) |
(*.f64 (pow.f64 y y) (pow.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y)) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(*.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (exp.f64 y) (exp.f64 y)) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 y) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) (neg.f64 y)) |
(pow.f64 (exp.f64 y) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (fma.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 y (+.f64 z y))) #s(literal 1/2 binary64)))) |
(pow.f64 (exp.f64 y) (log.f64 (/.f64 y (+.f64 z y)))) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 (neg.f64 (pow.f64 (exp.f64 y) (log.f64 y))) (neg.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 y) (log.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (pow.f64 (exp.f64 y) (log.f64 y)) #s(literal 1 binary64)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 (neg.f64 y))) (pow.f64 (exp.f64 y) (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (pow.f64 (exp.f64 y) (log.f64 y)) (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (exp.f64 y) (log.f64 (+.f64 z y))) (pow.f64 (exp.f64 y) (log.f64 y)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 y (+.f64 z y)) (neg.f64 y))) |
(neg.f64 (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 y (+.f64 z y)) y))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(*.f64 (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (/.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) (*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(*.f64 (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) (fma.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) (/.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) (neg.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal 3 binary64))) (fma.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 4 binary64))) (*.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (fma.f64 x x (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z y))) |
(*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (+.f64 z y))) |
(*.f64 (/.f64 y (+.f64 z y)) #s(literal 1 binary64)) |
(*.f64 y (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 z z (*.f64 y (+.f64 z y)))) |
(/.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (fma.f64 (neg.f64 y) y (*.f64 z z))) (+.f64 z y)) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y))) |
(/.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (fma.f64 z z (*.f64 y (+.f64 z y))))) |
(/.f64 (*.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (fma.f64 (neg.f64 y) y (*.f64 z z)) (+.f64 z y))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 2 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (-.f64 (*.f64 z z) (*.f64 (-.f64 y z) y)))) |
(/.f64 (*.f64 y (+.f64 (pow.f64 (*.f64 (-.f64 y z) y) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 y z) y) (-.f64 (*.f64 (-.f64 y z) y) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (-.f64 (neg.f64 y) z)) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (-.f64 (neg.f64 y) z)))) |
(/.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (-.f64 z y) y) (fma.f64 (neg.f64 y) y (*.f64 z z))) |
(/.f64 (*.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (pow.f64 (-.f64 z y) #s(literal -1 binary64))) |
(/.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y z) y (*.f64 z z)) #s(literal -1 binary64))) |
(/.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 y) z) y)) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y)) |
(/.f64 (neg.f64 y) (-.f64 (neg.f64 y) z)) |
(/.f64 y (+.f64 z y)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 z y) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 (neg.f64 y) z)))) |
(neg.f64 (/.f64 y (-.f64 (neg.f64 y) z))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(fma.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
(fma.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(fma.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 y) z)) (/.f64 y (-.f64 (neg.f64 y) z))) |
(-.f64 #s(literal 0 binary64) (/.f64 y (-.f64 (neg.f64 y) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
(+.f64 (*.f64 z (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z)))) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))))) |
(+.f64 (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (*.f64 z z) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 y z) y) (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(+.f64 (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) z) (*.f64 (/.f64 y (fma.f64 (neg.f64 y) y (*.f64 z z))) (neg.f64 y))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z))) |
(+.f64 (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 z z)) (*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (*.f64 (-.f64 y z) y))) |
Compiled 12 636 to 2 389 computations (81.1% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 474 | 10 | 484 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 475 | 10 | 485 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 87.2% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
| ▶ | 86.6% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 59.4% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| 66.3% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ▶ | 66.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 82.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) | |
| ▶ | 55.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
| 81.3% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) x x)) | |
| 42.2% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) | |
| ▶ | 38.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 264 to 212 computations (19.7% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 384 | (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 704 | (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (pow.f64 (/.f64 y (+.f64 z y)) y) | |
| cost-diff | 0 | (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
| 10 162× | lower-fma.f32 |
| 10 156× | lower-fma.f64 |
| 2 668× | lower-*.f64 |
| 2 668× | lower-*.f32 |
| 1 364× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 301 |
| 0 | 60 | 301 |
| 1 | 88 | 288 |
| 2 | 130 | 287 |
| 3 | 243 | 287 |
| 4 | 461 | 280 |
| 5 | 762 | 280 |
| 6 | 1776 | 280 |
| 7 | 4632 | 277 |
| 8 | 7075 | 277 |
| 0 | 8088 | 271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
x |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
x |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
(/.f64 y (+.f64 z y)) |
(+.f64 z y) |
z |
x |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (/.f64 z y) (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) z #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y)) z #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/2 binary64)) y) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) |
x |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) | |
| accuracy | 0.015625 | (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) | |
| accuracy | 22.71135226006949 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) | |
| accuracy | 0.7724493257019663 | (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 4.150685280427921 | (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 27.49939770885742 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) | |
| accuracy | 27.295033714598592 | #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 39.41113411571246 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) | |
| accuracy | 0.01171875 | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) | |
| accuracy | 0.01953125 | (/.f64 y (+.f64 z y)) | |
| accuracy | 12.97650581673679 | (pow.f64 (/.f64 y (+.f64 z y)) y) |
| 161.0ms | 136× | 1 | valid |
| 50.0ms | 22× | 2 | valid |
| 29.0ms | 98× | 0 | valid |
Compiled 239 to 30 computations (87.4% saved)
ival-pow: 62.0ms (29.6% of total)ival-mult: 59.0ms (28.2% of total)ival-exp: 21.0ms (10% of total)ival-log: 21.0ms (10% of total)ival-div: 17.0ms (8.1% of total)adjust: 13.0ms (6.2% of total)ival-add: 11.0ms (5.3% of total)ival-neg: 3.0ms (1.4% of total)ival-sub: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) (patch (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 y (+.f64 z y)) y) (patch (pow.f64 (/.f64 y (+.f64 z y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) (patch #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (patch (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) (patch (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (patch (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (patch (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (patch #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (+.f64 z y)) (patch (/.f64 y (+.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (patch (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
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#s(alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y)) (taylor 0 z) (#s(alt (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) (patch (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | y | @ | inf | ((+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (/ (/ 1/2 y) y) (/ 1/2 y)) (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (/ y (+ z y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ 1/2 y) y)) |
| 3.0ms | z | @ | inf | ((+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (/ (/ 1/2 y) y) (/ 1/2 y)) (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (/ y (+ z y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ 1/2 y) y)) |
| 2.0ms | z | @ | -inf | ((+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (/ (/ 1/2 y) y) (/ 1/2 y)) (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (/ y (+ z y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ 1/2 y) y)) |
| 2.0ms | y | @ | -inf | ((+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (/ (/ 1/2 y) y) (/ 1/2 y)) (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (/ y (+ z y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ 1/2 y) y)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (pow (/ y (+ z y)) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ 1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ (/ (/ 1/2 y) y) (/ 1/2 y)) (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* y (log (/ y (+ z y)))) (/ y (+ z y)) (/ (exp (* y (log (/ y (+ z y))))) y) (/ (/ 1/2 y) y)) |
| 1× | egg-herbie |
| 9 538× | lower-fma.f64 |
| 9 538× | lower-fma.f32 |
| 5 120× | lower-*.f64 |
| 5 120× | lower-*.f32 |
| 4 738× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 658 | 12881 |
| 1 | 2033 | 11145 |
| 2 | 6856 | 10821 |
| 0 | 8511 | 10340 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 y)) |
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(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
-1 |
(- z 1) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
1 |
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(/ 1 y) |
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1 |
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1 |
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(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
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(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
1 |
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(* -1 z) |
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(* z (- (* z (+ (* z (- (* 1/4 (/ z (pow y 3))) (* 1/3 (/ 1 (pow y 2))))) (* 1/2 (/ 1 y)))) 1)) |
1 |
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(+ x (+ (* -1 (/ (* y (exp (* y (+ (log y) (log (/ 1 z)))))) z)) (/ (exp (* y (+ (log y) (log (/ 1 z))))) y))) |
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(* -1 z) |
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(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z))) |
(- (* -1 (/ (- (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (exp (* -1 z))) |
(- (* -1 (/ (- (* -1 (/ (- (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (exp (* -1 z))) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(/ 1/2 y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(/ (+ 1/2 (* 1/2 (/ 1 y))) y) |
(* -1 (/ (+ 1 (* -1/2 z)) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (+ 1 (+ (* -1/2 z) (* -1/2 (/ z y)))) y)) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
1 |
(+ 1 (* -1 (/ z y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ 1/2 (pow y 2)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
| Outputs |
|---|
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
-1 |
#s(literal -1 binary64) |
(- z 1) |
(-.f64 z #s(literal 1 binary64)) |
(- (* z (+ 1 (* -1 (* z (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
(- (* z (+ 1 (* z (- (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) (+ 1/2 (* 1/2 (/ 1 y))))))) 1) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) y))) z #s(literal 1 binary64)) z #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(-.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) x) (/.f64 z y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y))) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (/.f64 z y))) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
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(neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (*.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) y) #s(literal 1/6 binary64))) y) z)) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
(-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) z) z (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64)) #s(literal 1/24 binary64) (neg.f64 (pow.f64 z #s(literal 4 binary64)))) y)) (neg.f64 y))) (neg.f64 y)) z) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 z y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) (* -1 z)) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 z (*.f64 z (/.f64 z y))) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (* -1 (pow z 2))) y)) (* -1 z)) y))) |
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 z y) #s(literal 3 binary64))) (/.f64 (-.f64 z (*.f64 z (/.f64 z y))) y)) |
(/ (exp (* -1 z)) y) |
(/.f64 (exp.f64 (neg.f64 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(/.f64 (fma.f64 (*.f64 (*.f64 z (/.f64 z y)) (exp.f64 (neg.f64 z))) #s(literal -1/2 binary64) (neg.f64 (exp.f64 (neg.f64 z)))) (neg.f64 y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64)))) y) (exp.f64 (neg.f64 z)) (*.f64 (exp.f64 (neg.f64 z)) (*.f64 (*.f64 #s(literal 1/2 binary64) z) z))) y) (exp.f64 (neg.f64 z))) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 (neg.f64 z)) #s(literal 1/2 binary64)) (*.f64 z z) (/.f64 (neg.f64 (*.f64 (exp.f64 (neg.f64 z)) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 z z)) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 z z) #s(literal 3 binary64)) #s(literal -1/48 binary64) (fma.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 30 binary64)) (pow.f64 z #s(literal 4 binary64))))) y) (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1/6 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 z #s(literal 4 binary64))))))) y)) y) (exp.f64 (neg.f64 z))) y) |
(/ 1/2 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/ 1/2 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/ 1/2 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/ 1/2 (pow y 2)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(/ (pow (/ y (+ y z)) y) y) |
(/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
| 4 884× | lower-fma.f32 |
| 4 878× | lower-fma.f64 |
| 4 364× | lower-/.f32 |
| 4 350× | lower-/.f64 |
| 3 740× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 268 |
| 0 | 60 | 256 |
| 1 | 259 | 254 |
| 2 | 2269 | 254 |
| 0 | 8756 | 249 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
(/.f64 #s(literal -1 binary64) y) |
(neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) |
(pow.f64 (/.f64 y (+.f64 z y)) y) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) |
(-.f64 #s(literal 1 binary64) z) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(/.f64 y (+.f64 z y)) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) (*.f64 x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) (pow.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal 2 binary64))))) |
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(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (-.f64 y z) (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 y (-.f64 y z) (*.f64 z z))) |
(*.f64 (pow.f64 (+.f64 z y) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (pow.f64 (neg.f64 (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (+.f64 z y))) |
(*.f64 y (exp.f64 (neg.f64 (log.f64 (+.f64 z y))))) |
(*.f64 y (pow.f64 (+.f64 z y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 z y) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (neg.f64 (+.f64 z y))))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 y) (neg.f64 (+.f64 z y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (log.f64 (/.f64 (+.f64 z y) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z y) y)) |
(/.f64 y (exp.f64 (log.f64 (+.f64 z y)))) |
(/.f64 y (+.f64 z y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 z y) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 z y) y))) |
(neg.f64 (/.f64 (neg.f64 y) (+.f64 z y))) |
(neg.f64 (/.f64 y (neg.f64 (+.f64 z y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (+.f64 z y))) (/.f64 y (neg.f64 (+.f64 z y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 z y) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 y (+.f64 z y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (/.f64 z y) (/.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) y) (/.f64 #s(literal -1 binary64) y)) z (pow.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (pow.f64 y #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (/.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal -2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) y) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) |
(pow.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) y) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (*.f64 y y))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 y) y)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 y (neg.f64 y))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) y) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (neg.f64 y))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) y) y) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (*.f64 y y)))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 y) y))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y (neg.f64 y)))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 y y)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) #s(literal 1/2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 y #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y y) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y #s(literal 2 binary64)) (neg.f64 y))) |
(neg.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (/.f64 #s(literal 1/2 binary64) y))) #s(literal -1 binary64))) |
Compiled 27 871 to 3 325 computations (88.1% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 076 | 13 | 1 089 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 082 | 17 | 1 099 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)) x) | |
| ▶ | 66.3% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
| 66.9% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) | |
| ✓ | 86.6% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 59.4% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ✓ | 66.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 40.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| ▶ | 82.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
| ▶ | 86.6% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
| 67.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) | |
| ▶ | 71.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
| 58.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y)))) | |
| 39.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z)))) | |
| 81.3% | #s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)) | |
| 42.2% | #s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ▶ | 10.5% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| ✓ | 38.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
Compiled 394 to 334 computations (15.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 192 | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) | |
| cost-diff | 0 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) | |
| cost-diff | 0 | (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) | |
| cost-diff | 0 | (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
| 9 966× | lower-fma.f32 |
| 9 956× | lower-fma.f64 |
| 2 890× | lower-*.f32 |
| 2 888× | lower-*.f64 |
| 1 242× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 391 |
| 0 | 76 | 391 |
| 1 | 111 | 379 |
| 2 | 169 | 375 |
| 3 | 346 | 374 |
| 4 | 728 | 368 |
| 5 | 1143 | 362 |
| 6 | 2110 | 359 |
| 7 | 4372 | 353 |
| 8 | 5773 | 353 |
| 9 | 6624 | 353 |
| 10 | 7101 | 353 |
| 11 | 7478 | 353 |
| 12 | 7590 | 353 |
| 13 | 7707 | 353 |
| 14 | 7916 | 353 |
| 15 | 7986 | 353 |
| 0 | 8005 | 350 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
#s(literal 1 binary64) |
(/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
y |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(+.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
#s(literal 1 binary64) |
(/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
y |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(neg.f64 z) |
z |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(-.f64 x (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) |
#s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) |
(+.f64 (/.f64 z y) z) |
(/.f64 z y) |
z |
#s(literal -1/2 binary64) |
#s(literal 1 binary64) |
x |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
y |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y y) | |
| accuracy | 19.868777791318553 | (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) | |
| accuracy | 35.10729126494148 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) | |
| accuracy | 0.0078125 | (+.f64 (/.f64 z y) z) | |
| accuracy | 0.01171875 | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) | |
| accuracy | 0.02734375 | (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) | |
| accuracy | 13.893590058274054 | #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) | |
| accuracy | 0.0234375 | (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) | |
| accuracy | 9.361439640540187 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) | |
| accuracy | 13.794443334318249 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) | |
| accuracy | 0.015625 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) | |
| accuracy | 11.47854227779796 | #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) | |
| accuracy | 11.6748646772255 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) | |
| accuracy | 0.01953125 | (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) | |
| accuracy | 16.656044875583024 | #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
| 187.0ms | 108× | 1 | valid |
| 84.0ms | 33× | 1 | exit |
| 44.0ms | 11× | 2 | valid |
| 32.0ms | 71× | 0 | valid |
| 18.0ms | 33× | 0 | exit |
Compiled 263 to 47 computations (82.1% saved)
ival-pow: 82.0ms (25.6% of total)ival-div: 67.0ms (20.9% of total)ival-log: 63.0ms (19.6% of total)ival-mult: 46.0ms (14.3% of total)ival-add: 28.0ms (8.7% of total)adjust: 19.0ms (5.9% of total)ival-exp: 8.0ms (2.5% of total)ival-neg: 4.0ms (1.2% of total)ival-sub: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (patch (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #<representation binary64>) () ()) |
#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) (patch #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) (patch (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) (patch #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) (patch (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) (patch (pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (patch #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 z y) z) (patch (+.f64 (/.f64 z y) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 1 y) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (patch (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (patch (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* y z)) (taylor 0 z) (#s(alt (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (patch (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (- (* -1 (* z (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (patch (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* z (- (* z (- (* -1 (* z (+ (* -1 y) (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 2 (* y (+ 1/2 (* 1/2 (/ 1 y))))))))) (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) (taylor 0 z) (#s(alt (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (patch (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) (taylor 0 z) (#s(alt (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (patch (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ 1 y)) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ z y)) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | x | @ | inf | ((/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (* y (log (/ y (+ z y)))) (+ (/ z y) z)) |
| 24.0ms | y | @ | 0 | ((/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (* y (log (/ y (+ z y)))) (+ (/ z y) z)) |
| 18.0ms | x | @ | -inf | ((/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (* y (log (/ y (+ z y)))) (+ (/ z y) z)) |
| 5.0ms | y | @ | inf | ((/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (* y (log (/ y (+ z y)))) (+ (/ z y) z)) |
| 4.0ms | y | @ | -inf | ((/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (exp (* y (log (/ y (+ z y))))) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (- 1 z) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/ -1 y) (neg (pow (/ y (+ z y)) y)) (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (* y y) (* y (log (/ y (+ z y)))) (+ (/ z y) z)) |
| 1× | egg-herbie |
| 10 850× | lower-fma.f64 |
| 10 850× | lower-fma.f32 |
| 6 658× | lower-*.f64 |
| 6 658× | lower-*.f32 |
| 5 266× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 786 | 13596 |
| 1 | 2503 | 11666 |
| 0 | 8541 | 11152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(* -1 (/ (- (* z (+ 1 (* -1/2 z))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (exp (* -1 z))) |
(- (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y)) (exp (* -1 z))) |
(- (* -1 (/ (- (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (exp (* -1 z))) |
(- (* -1 (/ (- (* -1 (/ (- (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y)) (exp (* -1 z))) |
(- (* z (+ 1 (* -1/2 z))) 1) |
(- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) |
(- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) |
(- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* -1 z) |
(+ (* -1 z) (* 1/2 (/ (+ (* -1 (pow z 2)) (* 2 (pow z 2))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) (* 1/6 (/ (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) y))) y))) |
(+ (* -1 z) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/24 (/ (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4))))) y))) y)) (* -1/2 (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) y))) |
z |
(+ z (/ z y)) |
(+ z (/ z y)) |
(+ z (/ z y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
y |
(+ y (* y z)) |
(fma.f64 z y y) |
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y) |
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 y) (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 2 (* y (+ 1/2 (* 1/2 (/ 1 y))))))))) (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64) (neg.f64 y))) z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)))) z y) z y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
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(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
| 4 000× | lower-/.f32 |
| 3 988× | lower-/.f64 |
| 3 326× | lower-*.f32 |
| 3 324× | lower-*.f64 |
| 2 938× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 346 |
| 0 | 76 | 334 |
| 1 | 357 | 326 |
| 2 | 3069 | 326 |
| 0 | 8186 | 317 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
(exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(/.f64 #s(literal -1 binary64) y) |
#s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(*.f64 y y) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(+.f64 (/.f64 z y) z) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (pow.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (/.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(*.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1 binary64)) |
(*.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) y) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) (neg.f64 y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (exp.f64 (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) |
(/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(exp.f64 (-.f64 (neg.f64 (log.f64 y)) (neg.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1 binary64) #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))) |
(exp.f64 (+.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) (neg.f64 (log.f64 y)))) |
(exp.f64 (log.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))) (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (-.f64 (*.f64 x x) (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) (-.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (*.f64 x x)) (+.f64 (pow.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) y) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) (neg.f64 y)) #s(literal 2 binary64)) (-.f64 (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) (neg.f64 y)) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) (neg.f64 y)) x))) |
(+.f64 (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) (neg.f64 y)) x) |
(+.f64 x (/.f64 #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) (neg.f64 y))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
#s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) (neg.f64 z))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal -1 binary64)) |
(fma.f64 z (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 z y) z) #s(literal 1 binary64)) z)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 y))) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) y) |
(neg.f64 (/.f64 #s(literal -1 binary64) y)) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 y) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (log.f64 y) #s(literal -1/2 binary64)))) |
(exp.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal -1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (neg.f64 (log.f64 y))) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 y y) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 y))) |
#s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)) |
(*.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (pow.f64 (-.f64 (/.f64 z y) z) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (pow.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 z (/.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) (neg.f64 (neg.f64 (-.f64 (/.f64 z y) z)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 z z) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (-.f64 z (/.f64 z y))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))) (neg.f64 (-.f64 (/.f64 z y) z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (/.f64 (-.f64 (/.f64 z y) z) (/.f64 y z))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)) (-.f64 (/.f64 z y) z)) |
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (/.f64 (-.f64 (/.f64 z y) z) (/.f64 y z)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 z y) z) (-.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (*.f64 z z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (-.f64 z (/.f64 z y)) (pow.f64 (/.f64 z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (/.f64 z y) #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) z) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) z z) |
(fma.f64 #s(literal -1 binary64) (/.f64 z (neg.f64 y)) z) |
(fma.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y) z) |
(fma.f64 z (pow.f64 y #s(literal -1 binary64)) z) |
(fma.f64 z #s(literal 1 binary64) (/.f64 z y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 z y) z) |
(fma.f64 #s(literal 1 binary64) z (/.f64 z y)) |
(-.f64 (/.f64 (pow.f64 (/.f64 z y) #s(literal 2 binary64)) (-.f64 (/.f64 z y) z)) (/.f64 (*.f64 z z) (-.f64 (/.f64 z y) z))) |
(+.f64 (/.f64 z y) z) |
(+.f64 z (/.f64 z y)) |
Compiled 20 648 to 2 292 computations (88.9% saved)
21 alts after pruning (16 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 824 | 10 | 834 |
| Fresh | 3 | 6 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 830 | 21 | 851 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)) x) | |
| 65.2% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (/ z y) z) (/.f64 (fma.f64 z y z) y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) | |
| 66.9% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) | |
| 71.2% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) | |
| ✓ | 86.6% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| ▶ | 59.4% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
| ✓ | 66.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 40.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| ✓ | 82.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
| 70.9% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y)))) | |
| 74.5% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) | |
| ▶ | 86.6% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
| ▶ | 48.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
| ✓ | 71.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
| 58.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y)))) | |
| 40.0% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) | |
| 44.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)))))) | |
| ▶ | 41.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
| 42.2% | #s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ✓ | 38.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 2.0% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
Compiled 518 to 426 computations (17.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| cost-diff | 512 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) | |
| cost-diff | 0 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (*.f64 (exp.f64 z) y) | |
| cost-diff | 0 | #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
| 19 422× | lower-fma.f32 |
| 19 410× | lower-fma.f64 |
| 2 854× | lower-+.f32 |
| 2 840× | lower-+.f64 |
| 2 778× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 705 |
| 0 | 102 | 705 |
| 1 | 154 | 683 |
| 2 | 250 | 683 |
| 3 | 751 | 683 |
| 4 | 2608 | 671 |
| 5 | 6330 | 665 |
| 0 | 8198 | 643 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) |
#s(literal 1 binary64) |
#s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) |
#s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(*.f64 z z) |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) x) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) |
#s(literal 1 binary64) |
#s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) |
(*.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
y |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) |
#s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
z |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
(+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) (*.f64 y y)))) x) |
x |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) (*.f64 y y))) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) (*.f64 y y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y (*.f64 #s(literal 1/2 binary64) z)) z y) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) |
#s(literal 1/2 binary64) |
z |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
y |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(*.f64 z z) |
(*.f64 y y) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) |
x |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) z #s(literal -1 binary64)) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (/.f64 #s(literal 1/2 binary64) y) (neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) z #s(literal -1/2 binary64)))) |
(+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) |
(-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y y)) #s(literal -1/6 binary64)) (/.f64 #s(literal -1/2 binary64) y)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal -1/6 binary64)) |
#s(literal 1/6 binary64) |
(/.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(/.f64 #s(literal 1/3 binary64) (*.f64 y y)) |
#s(literal 1/3 binary64) |
(*.f64 y y) |
(neg.f64 z) |
z |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
#s(literal -1 binary64) |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.7244583986426694 | (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) | |
| accuracy | 0.9507075345380276 | (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) | |
| accuracy | 4.068907089672994 | (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) | |
| accuracy | 15.386252764794182 | #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) | |
| accuracy | 2.6484354358302062 | (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) | |
| accuracy | 13.794443334318249 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) | |
| accuracy | 13.983189865555715 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)) | |
| accuracy | 0.16015625 | (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) | |
| accuracy | 9.361439640540187 | #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) | |
| accuracy | 13.794443334318249 | #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) | |
| accuracy | 35.11333321927972 | #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 22.4869184300982 | #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 35.10729126494148 | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) | |
| accuracy | 0.0078125 | (*.f64 (exp.f64 z) y) | |
| accuracy | 10.043773859026286 | #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) |
| 292.0ms | 78× | 1 | valid |
| 99.0ms | 112× | 0 | valid |
| 57.0ms | 33× | 1 | exit |
| 13.0ms | 33× | 0 | exit |
Compiled 410 to 57 computations (86.1% saved)
ival-add: 150.0ms (42% of total)adjust: 58.0ms (16.2% of total)ival-div: 49.0ms (13.7% of total)ival-exp: 29.0ms (8.1% of total)ival-mult: 28.0ms (7.8% of total)ival-log: 18.0ms (5% of total)ival-pow: 14.0ms (3.9% of total)const: 8.0ms (2.2% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) (patch #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 z) y) (patch (*.f64 (exp.f64 z) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) (patch #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (patch (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) (patch #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) (patch #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (patch (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) (patch (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) (patch (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (patch (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | z | @ | -inf | ((+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (* (exp z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (/ 1/2 y) z) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 4.0ms | y | @ | -inf | ((+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (* (exp z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (/ 1/2 y) z) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 4.0ms | y | @ | 0 | ((+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (* (exp z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (/ 1/2 y) z) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 4.0ms | y | @ | inf | ((+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (* (exp z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (/ 1/2 y) z) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 4.0ms | z | @ | inf | ((+ x (/ 1 (/ y (exp (* y (log (/ y (+ z y)))))))) (/ 1 (/ y (exp (* y (log (/ y (+ z y))))))) (/ y (exp (* y (log (/ y (+ z y)))))) (* (exp z) y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow (* y y) -1/2) (/ -1 y) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/ (exp (* y (log (/ y (+ z y))))) y) (exp (* y (log (/ y (+ z y))))) (* (/ 1/2 y) z) (/ (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (* y y)) (* (* z z) 1/2) (+ (* (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1) z) 1) (+ (* (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) z) -1)) |
| 1× | egg-herbie |
| 11 392× | lower-fma.f64 |
| 11 392× | lower-fma.f32 |
| 6 906× | lower-*.f64 |
| 6 906× | lower-*.f32 |
| 6 214× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 810 | 14744 |
| 1 | 2634 | 13077 |
| 0 | 8652 | 12422 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
y |
(+ y (* y z)) |
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 y) (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 2 (* y (+ 1/2 (* 1/2 (/ 1 y))))))))) (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
y |
(+ y (* y z)) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
y |
(+ y (* -1 (* y z))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(+ x (/ 1 y)) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
(+ 1 (* z (- (* z (+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y))))) 1))) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(/ 1 y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(* 1/2 (pow z 2)) |
(* 1/2 (pow z 2)) |
(* 1/2 (pow z 2)) |
(* 1/2 (pow z 2)) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* z (- (* z (+ 1/2 (* 1/2 (/ 1 y)))) 1))) |
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y |
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1 |
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x |
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(* -1 (/ (- (+ (* -1/2 (/ (pow z 2) y)) (* z (+ 1 (* -1/2 z)))) 1) y)) |
(+ 1/2 (* -1/6 z)) |
(+ 1/2 (+ (* -1 (/ (- (* 1/2 z) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
(+ 1/2 (+ (* -1 (/ (- (+ (* 1/3 (/ z y)) (* 1/2 z)) 1/2) y)) (* -1/6 z))) |
x |
(+ x (/ (exp (* -1 z)) y)) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y))) |
(+ x (* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y))) |
(/ (exp (* -1 z)) y) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2))))) (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) y))) y)) |
(* -1 (/ (+ (* -1 (exp (* -1 z))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) y)) (* 1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) y)) |
(exp (* -1 z)) |
(+ (exp (* -1 z)) (* 1/2 (/ (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2)))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(+ (exp (* -1 z)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* -1 z)) (+ (* -1/24 (+ (* -24 (pow z 4)) (+ (* -12 (pow z 4)) (+ (* -6 (pow z 4)) (* 48 (pow z 4)))))) (+ (* -1/48 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 3)) (* 1/12 (* (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3)))) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))))) y)) (* (exp (* -1 z)) (+ (* -1/6 (+ (* -6 (pow z 3)) (+ (* 2 (pow z 3)) (* 6 (pow z 3))))) (* 1/8 (pow (+ (* -1 (pow z 2)) (* 2 (pow z 2))) 2))))) y)) (* -1/2 (* (exp (* -1 z)) (+ (* -1 (pow z 2)) (* 2 (pow z 2)))))) y))) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(* 1/2 (/ z y)) |
(/ (+ 1 (* z (- (* 1/2 z) 1))) y) |
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* 1/2 z) 1)))) (* -1/2 (/ (pow z 2) y))) y)) |
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* 1/2 z) 1)))) (* -1/2 (/ (pow z 2) y))) y)) |
(* -1 (/ (+ (* -1 (+ 1 (* z (- (* 1/2 z) 1)))) (* -1/2 (/ (pow z 2) y))) y)) |
(+ 1 (* z (- (* z (+ 1/2 (* -1/6 z))) 1))) |
(+ 1 (+ (* -1 (/ (* (pow z 2) (- (* 1/2 z) 1/2)) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(+ 1 (+ (* -1 (/ (+ (* 1/3 (/ (pow z 3) y)) (* (pow z 2) (- (* 1/2 z) 1/2))) y)) (* z (- (* z (+ 1/2 (* -1/6 z))) 1)))) |
(- (* z (+ 1/2 (* -1/6 z))) 1) |
(- (+ (* -1 (/ (* z (- (* 1/2 z) 1/2)) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(- (+ (* -1 (/ (+ (* 1/3 (/ (pow z 2) y)) (* z (- (* 1/2 z) 1/2))) y)) (* z (+ 1/2 (* -1/6 z)))) 1) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(/ (pow (/ y (+ y z)) y) y) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
(+ x (/ (pow (/ y (+ y z)) y) y)) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
| Outputs |
|---|
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* y z)) |
(fma.f64 z y y) |
(+ y (* z (- (* -1 (* z (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y) |
(+ y (* z (- (* z (- (* -1 (* z (+ (* -1 y) (+ (* -1 (* y (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 2 (* y (+ 1/2 (* 1/2 (/ 1 y))))))))) (+ (* -1 y) (* y (+ 1/2 (* 1/2 (/ 1 y))))))) (* -1 y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 y) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y) #s(literal 2 binary64) (neg.f64 y))) z (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)))) z y) z y) |
y |
(+ y (* y z)) |
(fma.f64 z y y) |
(+ y (* z (+ y (* 1/2 (* y z))))) |
(fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y) |
(+ y (* z (+ y (* z (+ (* 1/6 (* y z)) (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z y) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* 1/2 (/ z y)) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 z y) (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* -1 (* y z))) |
(fma.f64 (neg.f64 z) y y) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y)) z y) |
(+ y (* z (+ (* -1 y) (* z (+ 1/2 (* 1/2 y)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z (neg.f64 y)) z y) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (+ (* -1 (/ z y)) (/ 1 y))) |
(+.f64 (-.f64 x (/.f64 z y)) (/.f64 #s(literal 1 binary64) y)) |
(+ x (+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(+ x (+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (+.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* -1 (/ (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y))))) y)) (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2)))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 (*.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) z) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ z y)) (/ 1 y)) |
(-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 z y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ (* z (- (* z (+ (* 1/2 (/ 1 y)) (* 1/2 (/ 1 (pow y 2))))) (/ 1 y))) (/ 1 y)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)) |
(+ 1/2 (* 1/2 (/ 1 y))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1 (* z (+ 1/6 (+ (* 1/3 (/ 1 (pow y 2))) (* 1/2 (/ 1 y)))))) (* 1/2 (/ 1 y)))) |
(fma.f64 (neg.f64 z) (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
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(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
(* x (+ 1 (/ (pow (/ y (+ y z)) y) (* x y)))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) x) y) x x) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
x |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
(* -1 (* x (- (* -1 (/ (pow (/ y (+ y z)) y) (* x y))) 1))) |
(*.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) #s(literal -1 binary64))) |
| 4 070× | lower-*.f32 |
| 4 058× | lower-*.f64 |
| 3 562× | lower-fma.f32 |
| 3 550× | lower-fma.f64 |
| 3 266× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 618 |
| 0 | 102 | 618 |
| 1 | 441 | 592 |
| 2 | 3917 | 592 |
| 0 | 8197 | 568 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) |
#s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) |
(*.f64 (exp.f64 z) y) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))) |
#s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
#s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)))) |
#s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))) |
(fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) |
#s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y)) |
(*.f64 (*.f64 z z) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64))) (pow.f64 (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))) (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) x)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)))) (neg.f64 (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64))) (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (-.f64 (*.f64 x x) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) (-.f64 (*.f64 x x) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (/.f64 x #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))) (+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1/2 binary64)) x) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) #s(literal 1 binary64) x) |
(fma.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)))) (/.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -2 binary64)) (-.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))))) |
(+.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) x) |
(+.f64 x (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(exp.f64 (neg.f64 (log.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))))) |
(*.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal 1 binary64)) |
#s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) |
(/.f64 (neg.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) #s(literal -1 binary64)) |
(/.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(*.f64 (exp.f64 z) y) |
(*.f64 y (exp.f64 z)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 y)) |
(neg.f64 (pow.f64 y #s(literal -1 binary64))) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 y)) #s(literal -1 binary64))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) (neg.f64 z))) (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 3 binary64)) #s(literal -1 binary64)))) |
(fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) |
(fma.f64 z (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) #s(literal -1 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 z) (fma.f64 (pow.f64 y #s(literal -2 binary64)) #s(literal 1/3 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z)) |
Compiled 24 944 to 2 423 computations (90.3% saved)
23 alts after pruning (15 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 845 | 7 | 852 |
| Fresh | 3 | 8 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 850 | 23 | 873 |
| Status | Accuracy | Program |
|---|---|---|
| 58.8% | (fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)) x) | |
| 65.2% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (/ z y) z) (/.f64 (fma.f64 z y z) y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) | |
| 66.9% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) | |
| 71.2% | (fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) | |
| ✓ | 86.6% | (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| 71.5% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) | |
| ✓ | 66.9% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| 40.8% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) | |
| ✓ | 82.7% | (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
| 74.5% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) | |
| ✓ | 86.6% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
| 74.9% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z y))))) | |
| 75.0% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) | |
| ✓ | 71.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
| 58.8% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) | |
| 52.2% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) | |
| 37.7% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y))))) | |
| 45.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) | |
| 44.5% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)))))) | |
| ✓ | 41.4% | (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
| 42.2% | #s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) | |
| ✓ | 38.4% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 2.0% | #s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
Compiled 853 to 474 computations (44.4% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (/ z y) z) (/.f64 (fma.f64 z y z) y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y)) |
#s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z)))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 #s(approx (/ y (+ z y)) (/.f64 y z)) y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 (pow.f64 (/.f64 y (+.f64 z y)) y)) x) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 y z)) y) y) x) x x)) |
#s(approx (+ (* (/ -1 y) (neg (pow (/ y (+ z y)) y))) x) (fma.f64 (/.f64 (/.f64 (pow.f64 (/.f64 y (+.f64 z y)) y) y) x) x x)) |
(+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
5 calls:
| 18.0ms | y |
| 15.0ms | z |
| 14.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 13.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.6% | 2 | x |
| 99.7% | 3 | y |
| 90.2% | 2 | z |
| 93.3% | 3 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 96.7% | 3 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (/ z y) z) (/.f64 (fma.f64 z y z) y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 (/.f64 z y) y) #s(literal 1/2 binary64)) z)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) y #s(literal 1/2 binary64)) z) z)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 #s(approx (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) (/.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) y)) z y) z y))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 (+.f64 (/.f64 z y) z) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (fma.f64 (fma.f64 #s(approx (+ (/ z y) z) (/.f64 (fma.f64 z y z) y)) #s(literal -1/2 binary64) #s(literal 1 binary64)) z #s(literal -1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) (*.f64 y y))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 (fma.f64 (neg.f64 z) (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64)) y (neg.f64 y)) y) z y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 #s(literal 1/2 binary64) z) z)) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y (*.f64 (*.f64 z z) #s(literal 1/2 binary64))) y) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) (fma.f64 (fma.f64 (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) y) y) (/.f64 #s(literal 1/2 binary64) y)) z (/.f64 #s(literal -1 binary64) y)) z (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal 1 binary64) y) z)) z)) (*.f64 z z)))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 (fma.f64 (+.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1/3 binary64) (*.f64 y y))) (neg.f64 z) (+.f64 (/.f64 #s(literal 1/2 binary64) y) #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (pow.f64 (*.f64 y y) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
3 calls:
| 10.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 10.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 2 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 87.0% | 2 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 91.9% | 3 | y |
Compiled 25 to 22 computations (12% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))) |
3 calls:
| 6.0ms | y |
| 6.0ms | x |
| 5.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | x |
| 87.7% | 2 | z |
| 91.1% | 3 | y |
Compiled 3 to 9 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 #s(approx (+ (* (+ (* (+ (* 1/2 z) -1) z) 1) y) (* (* z z) 1/2)) (fma.f64 (neg.f64 z) y y)) (*.f64 y y))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 y y)) z) z)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) #s(approx (+ (* (+ (* (+ (/ z y) z) -1/2) 1) z) -1) (fma.f64 (fma.f64 #s(literal -1/2 binary64) z #s(literal 1 binary64)) z #s(literal -1 binary64)))) x) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 3 | y |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
2 calls:
| 5.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | z |
| 87.0% | 3 | y |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(approx (neg (pow (/ y (+ z y)) y)) (-.f64 z #s(literal 1 binary64))) x) |
(+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))) |
4 calls:
| 27.0ms | y |
| 4.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 3.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 2 | y |
| 82.7% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 82.7% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 84.6% | 2 | z |
Compiled 26 to 25 computations (3.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) #s(literal 1 binary64))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(approx (- 1 z) (neg.f64 z))) y)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (-.f64 #s(literal 1 binary64) z)) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
4 calls:
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | x |
| 82.7% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 82.7% | 1 | z |
| 82.7% | 1 | y |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
5 calls:
| 19.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 2.0ms | y |
| 2.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0ms | z |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.4% | 1 | z |
| 38.4% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 38.4% | 1 | x |
| 38.4% | 1 | y |
| 38.4% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
Compiled 27 to 28 computations (-3.7% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
5 calls:
| 1.0ms | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
| 1.0ms | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 1.0ms | z |
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.0% | 1 | y |
| 2.0% | 1 | x |
| 2.0% | 1 | z |
| 2.0% | 1 | (+.f64 x (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y)) |
| 2.0% | 1 | (/.f64 (exp.f64 (*.f64 y (log.f64 (/.f64 y (+.f64 z y))))) y) |
Compiled 27 to 28 computations (-3.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 1.8036536105632503e-6 | 892434218447.359 |
| 23.0ms | -234584.6403316839 | -0.10396989613306672 |
| 18.0ms | 192× | 0 | valid |
| 3.0ms | 47× | 0 | invalid |
Compiled 193 to 229 computations (-18.7% saved)
ival-div: 3.0ms (23.6% of total)ival-log: 3.0ms (23.6% of total)ival-exp: 2.0ms (15.8% of total)ival-add: 2.0ms (15.8% of total)ival-mult: 1.0ms (7.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8036536105632503e-6 | 892434218447.359 |
| 3.0ms | -234584.6403316839 | -0.10396989613306672 |
Compiled 184 to 220 computations (-19.6% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8036536105632503e-6 | 892434218447.359 |
| 6.0ms | -234584.6403316839 | -0.10396989613306672 |
| 3.0ms | 32× | 0 | valid |
| 1.0ms | 8× | 0 | invalid |
Compiled 277 to 286 computations (-3.2% saved)
ival-div: 1.0ms (46.2% of total)ival-log: 1.0ms (46.2% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8036536105632503e-6 | 892434218447.359 |
| 1.0ms | -234584.6403316839 | -0.10396989613306672 |
Compiled 250 to 268 computations (-7.2% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8036536105632503e-6 | 892434218447.359 |
| 1.0ms | -234584.6403316839 | -0.10396989613306672 |
Compiled 232 to 256 computations (-10.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | -1.2301363693342812e+162 | -1.2060257445726531e+160 |
| 12.0ms | 42× | 1 | valid |
| 6.0ms | 70× | 0 | valid |
| 3.0ms | 42× | 0 | invalid |
Compiled 142 to 156 computations (-9.9% saved)
ival-log: 6.0ms (41.6% of total)ival-div: 3.0ms (20.8% of total)ival-add: 2.0ms (13.9% of total)adjust: 1.0ms (6.9% of total)ival-exp: 1.0ms (6.9% of total)ival-mult: 1.0ms (6.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.8036536105632503e-6 | 892434218447.359 |
Compiled 61 to 67 computations (-9.8% saved)
| 1× | egg-herbie |
| 18× | +-commutative-binary64-+.f64 |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
| 2× | neg-sub0-binary64--.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 566 |
| 1 | 125 | 566 |
| 2 | 127 | 566 |
| 3 | 128 | 566 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))))) |
(if (<=.f64 z #s(literal -12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y))))) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (*.f64 (exp.f64 z) y))) x) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y)))) |
(if (<=.f64 y #s(literal -5404319552844595/4503599627370496 binary64)) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 (exp.f64 #s(approx (* y (log (/ y (+ z y)))) (neg.f64 z))) y) x))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y)) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) (fma.f64 (fma.f64 #s(approx (+ (* (+ (+ 1/6 (/ 1/2 y)) (/ 1/3 (* y y))) (neg z)) (+ (/ 1/2 y) 1/2)) (fma.f64 #s(literal -1/6 binary64) z #s(literal 1/2 binary64))) z #s(literal -1 binary64)) z #s(literal 1 binary64))) y) x) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)))) x))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y))))))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) #s(approx (* (exp z) y) (fma.f64 (fma.f64 (*.f64 z y) #s(literal 1/2 binary64) y) z y)))) x))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y)))) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y)))))) |
(if (<=.f64 y #s(literal -4728779608739021/4503599627370496 binary64)) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) z #s(literal -1 binary64)) z #s(literal 1 binary64)) y))) x) (if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y))) x))) |
(if (<=.f64 z #s(literal -12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) (+.f64 x #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y))))) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y))) |
(if (<=.f64 z #s(literal -12199999999999999985994117980352597052069186527846256712049646065585889843187872205101459597593449180086754721723595323141567209889024420171105878974886144114688 binary64)) (+.f64 #s(approx (/ (exp (* y (log (/ y (+ z y))))) y) #s(approx (+ (* (+ (* (+ (/ (/ 1/2 y) y) (/ 1/2 y)) z) (/ -1 y)) z) (/ 1 y)) #s(approx (/ (+ (* (+ (* 1/2 z) -1) z) 1) y) (/.f64 (*.f64 (*.f64 z z) #s(literal 1/2 binary64)) y)))) x) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x)) |
(if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y))))) |
(if (<=.f64 y #s(literal 3602879701896397/72057594037927936 binary64)) (+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) (+.f64 (/.f64 #s(literal 1 binary64) #s(approx (/ y (exp (* y (log (/ y (+ z y)))))) (fma.f64 z y y))) x)) |
(+.f64 x (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y)) |
(+.f64 (/.f64 #s(approx (exp (* y (log (/ y (+ z y))))) #s(literal 1 binary64)) y) x) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (+ x (/ (exp (* y (log (/ y (+ z y))))) y)) #s(approx (pow (* y y) -1/2) (/.f64 #s(literal -1 binary64) y))) |
| 11 392× | lower-fma.f64 |
| 11 392× | lower-fma.f32 |
| 10 850× | lower-fma.f64 |
| 10 850× | lower-fma.f32 |
| 9 538× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 658 | 12881 |
| 1 | 2033 | 11145 |
| 2 | 6856 | 10821 |
| 0 | 8511 | 10340 |
| 0 | 37 | 268 |
| 0 | 60 | 256 |
| 1 | 259 | 254 |
| 2 | 2269 | 254 |
| 0 | 8756 | 249 |
| 0 | 603 | 4112 |
| 1 | 1814 | 3486 |
| 2 | 6083 | 3379 |
| 0 | 8215 | 3225 |
| 0 | 786 | 13596 |
| 1 | 2503 | 11666 |
| 0 | 8541 | 11152 |
| 0 | 810 | 14744 |
| 1 | 2634 | 13077 |
| 0 | 8652 | 12422 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 469 to 323 computations (31.1% saved)
Compiled 564 to 206 computations (63.5% saved)
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