
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 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 10 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 11 to 8 computations (27.3% saved)
| 549.0ms | 8 256× | 0 | valid |
| 200.0ms | 2 653× | 1 | exit |
ival-exp: 179.0ms (37.5% of total)ival-log1p: 117.0ms (24.5% of total)ival-mult: 82.0ms (17.2% of total)ival-sub: 52.0ms (10.9% of total)adjust: 35.0ms (7.3% of total)ival-true: 8.0ms (1.7% of total)ival-assert: 4.0ms (0.8% of total)| 1× | egg-herbie |
| 148× | lower-fma.f64 |
| 148× | lower-fma.f32 |
| 108× | lower-*.f32 |
| 106× | lower-*.f64 |
| 78× | cancel-sign-sub-inv |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 51 |
| 1 | 58 | 49 |
| 2 | 113 | 49 |
| 3 | 227 | 49 |
| 4 | 311 | 49 |
| 5 | 429 | 49 |
| 6 | 483 | 49 |
| 7 | 515 | 49 |
| 8 | 518 | 49 |
| 0 | 8 | 9 |
| 0 | 13 | 9 |
| 1 | 22 | 9 |
| 2 | 33 | 9 |
| 3 | 45 | 9 |
| 4 | 60 | 9 |
| 5 | 84 | 9 |
| 6 | 123 | 9 |
| 7 | 160 | 9 |
| 8 | 205 | 9 |
| 9 | 231 | 9 |
| 10 | 255 | 9 |
| 11 | 264 | 9 |
| 0 | 264 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 3 | 95 | (-2.672576449916549e+53 -1.578891663922731e+236) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 0 | 0 | - | 0 | - | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | sensitivity | 96 | 0 |
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) | oflow-rescue | 2 | 0 |
| ↳ | (exp.f64 x) | overflow | 2 | |
| ↳ | (+.f64 #s(literal 1 binary64) (exp.f64 x)) | overflow | 2 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 0 |
| - | 96 | 158 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 0 |
| - | 96 | 0 | 158 |
| number | freq |
|---|---|
| 0 | 158 |
| 1 | 98 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 78 to 36 computations (53.8% saved)
ival-log1p: 5.0ms (26.4% of total)ival-exp: 4.0ms (21.2% of total)ival-mult: 4.0ms (21.2% of total)ival-sub: 2.0ms (10.6% of total)ival-add: 2.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 148× | lower-fma.f64 |
| 148× | lower-fma.f32 |
| 108× | lower-*.f32 |
| 106× | lower-*.f64 |
| 52× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 13 | 26 |
| 1 | 22 | 26 |
| 2 | 33 | 26 |
| 3 | 45 | 26 |
| 4 | 60 | 26 |
| 5 | 84 | 26 |
| 6 | 123 | 26 |
| 7 | 160 | 26 |
| 8 | 205 | 26 |
| 9 | 231 | 26 |
| 10 | 255 | 26 |
| 11 | 264 | 26 |
| 0 | 264 | 22 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(log1p.f64 (exp.f64 x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
#s(literal 1 binary64) |
(exp.f64 x) |
x |
(*.f64 x y) |
y |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | accuracy | 98.9% | (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 45.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-log1p: 3.0ms (33% of total)ival-exp: 2.0ms (22% of total)ival-mult: 2.0ms (22% of total)ival-sub: 1.0ms (11% of total)ival-add: 1.0ms (11% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x)))> |
#<alt (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y))> |
#<alt (+.f64 #s(literal 1 binary64) (exp.f64 x))> |
#<alt (exp.f64 x)> |
| Outputs |
|---|
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))> |
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))> |
#<alt (* x (- (/ (log (+ 1 (exp x))) x) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y))))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))> |
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))> |
#<alt (* y (- (/ (log (+ 1 (exp x))) y) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x))))> |
#<alt 2> |
#<alt (+ 2 x)> |
#<alt (+ 2 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt (+ 1 (exp x))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | x | @ | inf | (log (+ 1 (exp x))) |
| 20.0ms | x | @ | -inf | (log (+ 1 (exp x))) |
| 3.0ms | y | @ | 0 | (- (log (+ 1 (exp x))) (* x y)) |
| 0.0ms | x | @ | 0 | (log (+ 1 (exp x))) |
| 0.0ms | x | @ | inf | (- (log (+ 1 (exp x))) (* x y)) |
| 1× | batch-egg-rewrite |
| 4 436× | lower-/.f64 |
| 4 436× | lower-/.f32 |
| 3 924× | lower-*.f32 |
| 3 922× | lower-*.f64 |
| 3 690× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 13 | 20 |
| 1 | 47 | 20 |
| 2 | 311 | 20 |
| 3 | 2718 | 20 |
| 0 | 9051 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(exp.f64 x) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
(+.f64 (log1p.f64 (exp.f64 x)) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log1p.f64 (exp.f64 x))) |
(+.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x))))) |
(+.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x))))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(+.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(+.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(+.f64 (neg.f64 (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 (exp.f64 x)))) (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log1p.f64 (exp.f64 x))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 3 binary64))))) (log1p.f64 (*.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) (-.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (exp.f64 x) (expm1.f64 x)) #s(literal 2 binary64))))) (log1p.f64 (*.f64 (neg.f64 (exp.f64 x)) (expm1.f64 x)))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log1p.f64 (+.f64 (exp.f64 x) (exp.f64 (+.f64 x x))))) |
(exp.f64 (log.f64 (log1p.f64 (exp.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (exp.f64 x))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 (exp.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (expm1.f64 x) (expm1.f64 (+.f64 x x))))) |
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (+.f64 x x)))) (log1p.f64 (neg.f64 (exp.f64 x)))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64)))))) (log.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (log.f64 (expm1.f64 (+.f64 x x))) (log.f64 (expm1.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 (*.f64 x #s(literal 9 binary64)))) (log.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64)))))))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64)))))))) |
(-.f64 (log1p.f64 (neg.f64 (exp.f64 (*.f64 x #s(literal 4 binary64))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (exp.f64 (+.f64 x x))))) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) (-.f64 #s(literal 1 binary64) (exp.f64 x))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))))))) (log.f64 (neg.f64 (neg.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))))) (log.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (expm1.f64 (+.f64 x x)))) (log.f64 (neg.f64 (expm1.f64 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64)) (*.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -3 binary64))))) (log.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x))) #s(literal 2 binary64)))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (/.f64 (exp.f64 (+.f64 x x)) (-.f64 #s(literal 1 binary64) (exp.f64 x)))))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))) (log1p.f64 (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (neg.f64 (exp.f64 x)))) |
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(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 x))) |
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(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 x))) (-.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x)))) |
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(*.f64 (expm1.f64 (+.f64 x x)) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
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(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 9 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 x #s(literal 6 binary64))) (exp.f64 (*.f64 x #s(literal 3 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (exp.f64 (+.f64 x x)) (expm1.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 6 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 x x)) (exp.f64 (*.f64 x #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (exp.f64 (+.f64 x x))))) |
(exp.f64 x) |
(exp.f64 (*.f64 x #s(literal 1 binary64))) |
(pow.f64 (exp.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (exp.f64 x)) |
(*.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 11 474× | lower-fma.f64 |
| 11 474× | lower-fma.f32 |
| 2 426× | lower-*.f64 |
| 2 426× | lower-*.f32 |
| 1 772× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 400 |
| 1 | 180 | 400 |
| 2 | 389 | 400 |
| 3 | 1353 | 400 |
| 4 | 4014 | 370 |
| 5 | 6856 | 370 |
| 0 | 8132 | 300 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(* -1 (* x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
2 |
(+ 2 x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
(+ 1 (exp x)) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* x (- (/ (log (+ 1 (exp x))) x) y)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x (- (* -1 (/ (log (+ 1 (exp x))) x)) (* -1 y)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* y (- (/ (log (+ 1 (exp x))) y) x)) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* y (- (* -1 (/ (log (+ 1 (exp x))) y)) (* -1 x)))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
2 |
#s(literal 2 binary64) |
(+ 2 x) |
(+.f64 #s(literal 2 binary64) x) |
(+ 2 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 2 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
(+ 1 (exp x)) |
(+.f64 #s(literal 1 binary64) (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
Compiled 15 047 to 1 438 computations (90.4% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 8 | 419 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 411 | 9 | 420 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.2% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| 69.5% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) | |
| ▶ | 74.8% | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| 80.5% | (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 99.2% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ▶ | 88.4% | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| ▶ | 53.7% | (*.f64 x (neg.f64 y)) |
| ▶ | 48.1% | (log1p.f64 (exp.f64 x)) |
| 47.0% | (log.f64 #s(literal 2 binary64)) |
Compiled 151 to 112 computations (25.8% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 x)) |
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 x (neg.f64 y)) |
| ✓ | cost-diff | 0 | (exp.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 (exp.f64 x)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| 2 204× | lower-fma.f32 |
| 2 198× | lower-fma.f64 |
| 564× | lower-*.f32 |
| 560× | lower-*.f64 |
| 460× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 71 |
| 0 | 32 | 71 |
| 1 | 54 | 71 |
| 2 | 84 | 71 |
| 3 | 164 | 71 |
| 4 | 288 | 71 |
| 5 | 447 | 71 |
| 6 | 782 | 71 |
| 7 | 1358 | 71 |
| 8 | 1887 | 71 |
| 9 | 2045 | 71 |
| 10 | 2057 | 71 |
| 11 | 2057 | 71 |
| 0 | 2057 | 71 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
y |
x |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
(*.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
x |
y |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
x |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(neg.f64 y) |
y |
x |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
(*.f64 x (neg.f64 y)) |
(*.f64 y (neg.f64 x)) |
x |
(neg.f64 y) |
y |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 y (neg.f64 x) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) |
x |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
x |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 99.2% | (log1p.f64 (exp.f64 x)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 100.0% | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x y) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| ✓ | accuracy | 100.0% | (*.f64 x (neg.f64 y)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 100.0% | (exp.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| ✓ | accuracy | 99.2% | (log1p.f64 (exp.f64 x)) |
| 36.0ms | 256× | 0 | valid |
Compiled 84 to 21 computations (75% saved)
ival-mult: 8.0ms (35.8% of total)ival-add: 3.0ms (13.4% of total)ival-log: 3.0ms (13.4% of total)ival-log1p: 3.0ms (13.4% of total)ival-exp: 2.0ms (9% of total)ival-sub: 2.0ms (9% of total)ival-neg: 1.0ms (4.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x)))> |
#<alt (neg.f64 y)> |
#<alt (log1p.f64 (exp.f64 x))> |
#<alt (exp.f64 x)> |
#<alt (*.f64 x (neg.f64 y))> |
#<alt (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))> |
#<alt (log.f64 #s(literal 2 binary64))> |
#<alt (*.f64 x y)> |
#<alt (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))> |
#<alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)> |
#<alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))> |
| Outputs |
|---|
#<alt (log (+ 1 (exp x)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (+ (log (+ 1 (exp x))) (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))> |
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))> |
#<alt (* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y)))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* x (+ 1/2 (* -1 y))))> |
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x)))))> |
#<alt (+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))> |
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))> |
#<alt (* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x)))))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt (log (+ 1 (exp x)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 (* x (+ 1 (* 1/2 x))))> |
#<alt (+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x))))))> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (exp x)> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (- (/ (log 2) x) y))> |
#<alt (* x (- (/ (log 2) x) y))> |
#<alt (* x (- (/ (log 2) x) y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y))))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (+ (log 2) (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (- (/ (log 2) y) x))> |
#<alt (* y (- (/ (log 2) y) x))> |
#<alt (* y (- (/ (log 2) y) x))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))> |
#<alt (* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x))))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))> |
#<alt (* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x))))> |
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y)))))> |
#<alt (- 1/2 y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (* 1/8 x)> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (* -1 y)> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
48 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | 0 | (- (log 2) (* x y)) |
| 1.0ms | y | @ | 0 | (- (log 2) (* x y)) |
| 0.0ms | x | @ | 0 | (* x (neg y)) |
| 0.0ms | x | @ | inf | (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) |
| 0.0ms | x | @ | -inf | (+ (* x (- (+ (* x 1/8) 1/2) y)) (log 2)) |
| 1× | batch-egg-rewrite |
| 5 636× | lower-fma.f32 |
| 5 630× | lower-fma.f64 |
| 4 918× | lower-*.f32 |
| 4 914× | lower-*.f64 |
| 4 100× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 49 |
| 0 | 32 | 49 |
| 1 | 126 | 49 |
| 2 | 947 | 49 |
| 0 | 8379 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(neg.f64 y) |
(log1p.f64 (exp.f64 x)) |
(exp.f64 x) |
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 x y) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(+.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x)) |
(+.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))) |
(+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) |
(-.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) |
(fma.f64 y (neg.f64 x) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(fma.f64 x (neg.f64 y) (log1p.f64 (exp.f64 x))) |
(fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (neg.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y x) (log1p.f64 (exp.f64 x))) |
(fma.f64 (neg.f64 x) y (log1p.f64 (exp.f64 x))) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (log1p.f64 (exp.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))) |
(/.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) |
(/.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (*.f64 (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 (neg.f64 y) x)) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64)) (pow.f64 (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x)))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y (*.f64 x (*.f64 y x)) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x))))) (neg.f64 (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) (*.f64 (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) (+.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 y x))) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))) (/.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x)))))) |
(*.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))))) |
(*.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log1p.f64 (exp.f64 x)) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)) (*.f64 y (*.f64 x (*.f64 y x))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 x (*.f64 y x))) (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (neg.f64 y) x) (log1p.f64 (exp.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (exp.f64 x)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (/.f64 #s(literal 1 binary64) (+.f64 (log1p.f64 (exp.f64 x)) (*.f64 y x)))) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) (/.f64 (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 0 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y)) |
(neg.f64 y) |
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| 1× | egg-herbie |
| 11 174× | lower-fma.f64 |
| 11 174× | lower-fma.f32 |
| 3 594× | lower-*.f64 |
| 3 594× | lower-*.f32 |
| 2 210× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 135 | 1163 |
| 1 | 416 | 1134 |
| 2 | 1078 | 1134 |
| 3 | 4108 | 1122 |
| 0 | 8190 | 1002 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 (exp x))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(log 2) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
(log (+ 1 (exp x))) |
1 |
(+ 1 x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(exp x) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(log 2) |
(+ (log 2) (* -1 (* x y))) |
(+ (log 2) (* -1 (* x y))) |
(+ (log 2) (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (- (/ (log 2) x) y)) |
(* x (- (/ (log 2) x) y)) |
(* x (- (/ (log 2) x) y)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(log 2) |
(+ (log 2) (* -1 (* x y))) |
(+ (log 2) (* -1 (* x y))) |
(+ (log 2) (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (- (/ (log 2) y) x)) |
(* y (- (/ (log 2) y) x)) |
(* y (- (/ (log 2) y) x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* -1 y) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
1/2 |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (* 1/8 x)) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
| Outputs |
|---|
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(+ (log (+ 1 (exp x))) (* -1 (* x y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* y (+ (* -1 x) (/ (log (+ 1 (exp x))) y))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* y (+ x (* -1 (/ (log (+ 1 (exp x))) y))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (+ 1/2 (* -1 y)))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* 1/8 x))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* x (+ (* -1 y) (/ (log (+ 1 (exp x))) x))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 (* x (+ y (* -1 (/ (log (+ 1 (exp x))) x))))) |
(-.f64 (log1p.f64 (exp.f64 x)) (*.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
(log (+ 1 (exp x))) |
(log1p.f64 (exp.f64 x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 (* x (+ 1 (* 1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(exp x) |
(exp.f64 x) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* x (- (/ (log 2) x) y)) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(* x (- (/ (log 2) x) y)) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(* x (- (/ (log 2) x) y)) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(* -1 (* x (- (* -1 (/ (log 2) x)) (* -1 y)))) |
(*.f64 x (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* -1 (* x y))) |
(fma.f64 x (neg.f64 y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (- (/ (log 2) y) x)) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* y (- (/ (log 2) y) x)) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* y (- (/ (log 2) y) x)) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* -1 (* y (- (* -1 (/ (log 2) y)) (* -1 x)))) |
(*.f64 y (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) y) x)) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(* (pow x 2) (- (+ 1/8 (+ (* 1/2 (/ 1 x)) (/ (log 2) (pow x 2)))) (/ y x))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(* 1/8 (pow x 2)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(* (pow x 2) (+ 1/8 (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) x)))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* 1/8 x))) y)))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* 1/8 x)))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(- 1/2 y) |
(-.f64 #s(literal 1/2 binary64) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(-.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal 1/8 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) y) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(-.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal 1/8 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) y) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(-.f64 (*.f64 y (fma.f64 x (/.f64 #s(literal 1/8 binary64) y) (/.f64 #s(literal 1/2 binary64) y))) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* 1/8 x) |
(*.f64 x #s(literal 1/8 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
Compiled 13 361 to 1 311 computations (90.2% saved)
19 alts after pruning (13 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 598 | 12 | 610 |
| Fresh | 2 | 1 | 3 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 600 | 19 | 619 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.2% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| ▶ | 69.5% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| ▶ | 51.4% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| 51.2% | (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 74.8% | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| 47.3% | (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) | |
| 54.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y x (log.f64 #s(literal 2 binary64))))) | |
| 67.4% | (/.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) | |
| 1.2% | (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) | |
| ▶ | 27.4% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| ✓ | 99.2% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | 88.4% | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| 29.4% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) | |
| 29.4% | (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) | |
| ✓ | 53.7% | (*.f64 x (neg.f64 y)) |
| ▶ | 7.1% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ▶ | 46.1% | (log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 48.1% | (log1p.f64 (exp.f64 x)) |
| 47.0% | (log1p.f64 #s(literal 1 binary64)) |
Compiled 441 to 263 computations (40.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (neg.f64 y) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| 6 812× | lower-fma.f32 |
| 6 802× | lower-fma.f64 |
| 3 360× | lower-*.f32 |
| 3 350× | lower-*.f64 |
| 2 000× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 143 |
| 0 | 47 | 139 |
| 1 | 99 | 139 |
| 2 | 266 | 133 |
| 3 | 793 | 131 |
| 4 | 2180 | 131 |
| 5 | 5053 | 131 |
| 0 | 8132 | 131 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
x |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) |
(neg.f64 y) |
y |
(*.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
#s(literal 0 binary64) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
x |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
x |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(-.f64 (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 x x) |
x |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 x (neg.f64 y)) |
(*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) |
(*.f64 x (*.f64 y (*.f64 x (neg.f64 y)))) |
(neg.f64 y) |
y |
(*.f64 x (*.f64 y x)) |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 y x) |
(*.f64 x y) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 x y) |
#s(literal 0 binary64) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
x |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (neg.f64 y) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 y x)) |
| ✓ | accuracy | 96.3% | (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) |
| ✓ | accuracy | 68.3% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| 38.0ms | 160× | 0 | valid |
| 23.0ms | 96× | 0 | invalid |
Compiled 159 to 31 computations (80.5% saved)
ival-mult: 13.0ms (32% of total)ival-add: 12.0ms (29.5% of total)const: 4.0ms (9.8% of total)ival-log: 3.0ms (7.4% of total)ival-log1p: 3.0ms (7.4% of total)ival-div: 2.0ms (4.9% of total)ival-sub: 1.0ms (2.5% of total)exact: 1.0ms (2.5% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))> |
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 #s(literal 1/8 binary64) (*.f64 x x))> |
#<alt (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))> |
#<alt (+.f64 #s(literal 0 binary64) (*.f64 y x))> |
#<alt (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x)))> |
#<alt (neg.f64 y)> |
#<alt (log1p.f64 (+.f64 #s(literal 1 binary64) x))> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
#<alt (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64)))> |
#<alt (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64))> |
#<alt (log.f64 #s(literal 2 binary64))> |
#<alt (*.f64 x (*.f64 y x))> |
| Outputs |
|---|
#<alt (log 2)> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))> |
#<alt (* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y)))))> |
#<alt (- 1/2 y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)> |
#<alt (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)> |
#<alt (* -1/192 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* -1/192 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))> |
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))> |
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))> |
#<alt (+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2))))))> |
#<alt (* -1 y)> |
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))> |
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))> |
#<alt (* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (* -1/192 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* -1/192 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (* -1 y)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* x (+ 1/2 (* -1/8 x))))> |
#<alt (+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8)))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x))))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))> |
#<alt (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))> |
#<alt (* -1/192 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (* -1/192 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2))))))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* (neg y) (* x (* y x))) |
| 1.0ms | y | @ | 0 | (+ (* x (+ (* x (+ (* -1/192 (* x x)) 1/8)) (- 1/2 y))) (log 2)) |
| 1.0ms | y | @ | 0 | (* (neg y) (* x (* y x))) |
| 1.0ms | x | @ | 0 | (* (neg y) (* x (* y x))) |
| 0.0ms | y | @ | inf | (* (neg y) (* x (* y x))) |
| 1× | batch-egg-rewrite |
| 4 416× | lower-fma.f32 |
| 4 406× | lower-fma.f64 |
| 4 054× | lower-*.f32 |
| 4 044× | lower-*.f64 |
| 3 798× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 105 |
| 0 | 47 | 101 |
| 1 | 213 | 91 |
| 2 | 1871 | 91 |
| 0 | 8400 | 91 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) |
(neg.f64 y) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 x (*.f64 y x)) |
| Outputs |
|---|
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))))) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 1/2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))))) (/.f64 (*.f64 x (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))))) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) x (log.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))))) (fma.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (*.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)) (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) #s(literal 1/8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal 1/4 binary64)) (*.f64 x (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal -1/2 binary64)))) |
(log.f64 #s(literal 2 binary64)) |
(+.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal 0 binary64))) |
(+.f64 (*.f64 x (*.f64 x y)) (*.f64 #s(literal 0 binary64) x)) |
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 x y))) |
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x y))) |
(fma.f64 x (*.f64 x y) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 x (*.f64 x y) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 x #s(literal 0 binary64) (*.f64 x (*.f64 x y))) |
(fma.f64 (*.f64 x x) y (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (*.f64 x x) y (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 y (*.f64 x x) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 y (*.f64 x x) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (*.f64 x y) x (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (*.f64 x y) x (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 #s(literal 0 binary64) x (*.f64 x (*.f64 x y))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y))))) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) (neg.f64 (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))))) (neg.f64 (neg.f64 (*.f64 x y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x)) (neg.f64 (neg.f64 (*.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y)) (-.f64 (*.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x #s(literal 0 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y)) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 x (*.f64 x y)) (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y))) (*.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x (*.f64 x y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x y)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 (*.f64 x (*.f64 x y)) (*.f64 x (*.f64 x y))) (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x y)))))) |
(*.f64 x (*.f64 x y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 (*.f64 x y) x) |
| 1× | egg-herbie |
| 12 252× | lower-fma.f64 |
| 12 252× | lower-fma.f32 |
| 4 010× | lower-*.f64 |
| 4 010× | lower-*.f32 |
| 3 130× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 1812 |
| 1 | 497 | 1793 |
| 2 | 1444 | 1756 |
| 3 | 4934 | 1712 |
| 0 | 8400 | 1608 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(+ (log 2) (+ (* -1 (* x y)) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(* y (+ (* -1 x) (+ (/ (log 2) y) (/ (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2)))))) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) y))))) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) |
(- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y) |
(* -1/192 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* -1/192 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 1/192 (* -1 (/ (- 1/2 y) (pow x 3)))) (* 1/8 (/ 1 (pow x 2)))))) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(+ 1/2 (+ (* -1 y) (* x (+ 1/8 (* -1/192 (pow x 2)))))) |
(* -1 y) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(* y (- (+ (* 1/2 (/ 1 y)) (/ (* x (+ 1/8 (* -1/192 (pow x 2)))) y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))))) |
1/8 |
(+ 1/8 (* -1/192 (pow x 2))) |
(+ 1/8 (* -1/192 (pow x 2))) |
(+ 1/8 (* -1/192 (pow x 2))) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* 1/8 (pow x 2)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* -1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (- (* 1/24 x) 1/8))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) |
(- (+ (* -1 (log (/ 1 x))) (* 2 (/ 1 x))) (/ 2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* 2 (/ 1 x)) (* 8/3 (/ 1 (pow x 3))))) (/ 2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* 2 (/ 1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 2 (/ 1 x)) 2) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 8/3 (/ 1 x)) 2) x)) 2) x)))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* x (+ 1/2 (* 1/8 x)))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192)) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
1/2 |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(* -1/192 (pow x 3)) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(* -1/192 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)) #s(literal -1/192 binary64))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 #s(literal -1/192 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) y) x) #s(literal 1/8 binary64))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (log.f64 #s(literal 2 binary64)) x))) x)) #s(literal -1/192 binary64))) |
(+ (log 2) (* x (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
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(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(* (pow x 4) (- (+ (* -1 (/ (- (* -1 (/ (log 2) x)) 1/2) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 x)) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) |
(fma.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) |
(* -1/192 (pow x 3)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(* (pow x 3) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 x x))))))) |
(* -1/192 (pow x 3)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 1/192 (* 1/8 (/ 1 (pow x 2)))))) |
(*.f64 x (fma.f64 x (*.f64 x #s(literal -1/192 binary64)) #s(literal 1/8 binary64))) |
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/192 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))) |
(* -1 (* (pow x 3) (+ 1/192 (* -1 (/ (+ 1/8 (* 1/2 (/ 1 x))) (pow x 2)))))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -1/192 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
(* (pow x 2) y) |
(*.f64 y (*.f64 x x)) |
Compiled 28 292 to 2 259 computations (92% saved)
34 alts after pruning (24 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 912 | 17 | 929 |
| Fresh | 1 | 7 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 914 | 34 | 948 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.3% | (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
| ✓ | 99.2% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| ✓ | 69.5% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| ✓ | 51.4% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| 51.2% | (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 74.8% | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| ▶ | 47.3% | (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| 37.3% | (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) | |
| 31.5% | (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) | |
| 54.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y x (log.f64 #s(literal 2 binary64))))) | |
| 67.4% | (/.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) | |
| 24.4% | (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| 1.2% | (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) | |
| 17.0% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| ▶ | 25.1% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| 15.1% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) | |
| 17.5% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) | |
| 27.4% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) | |
| 53.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) | |
| ✓ | 99.2% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | 88.4% | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| ▶ | 27.4% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
| 5.5% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) | |
| 6.0% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) | |
| 13.3% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) | |
| 35.7% | (*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) | |
| 43.8% | (*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) | |
| ▶ | 29.4% | (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | 53.7% | (*.f64 x (neg.f64 y)) |
| ✓ | 7.1% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | 46.1% | (log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 48.1% | (log1p.f64 (exp.f64 x)) |
| 47.0% | (log1p.f64 #s(literal 1 binary64)) | |
| 46.1% | (log.f64 (+.f64 x #s(literal 2 binary64))) |
Compiled 1 010 to 564 computations (44.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) |
| ✓ | cost-diff | 192 | (+.f64 #s(literal 0 binary64) (*.f64 y x)) |
| ✓ | cost-diff | 1664 | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| ✓ | cost-diff | 1920 | (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
| ✓ | cost-diff | 0 | (*.f64 x y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| ✓ | cost-diff | 1984 | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | cost-diff | 0 | (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | cost-diff | 320 | (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
| 6 724× | lower-fma.f32 |
| 6 714× | lower-fma.f64 |
| 3 006× | lower-*.f32 |
| 2 988× | lower-*.f64 |
| 1 544× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 228 |
| 0 | 61 | 206 |
| 1 | 129 | 200 |
| 2 | 426 | 176 |
| 3 | 4074 | 174 |
| 4 | 7507 | 174 |
| 0 | 8502 | 172 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
x |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
x |
y |
(neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) |
(neg.f64 y) |
y |
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
(*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) |
(neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(neg.f64 (*.f64 x y)) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
#s(literal 0 binary64) |
(*.f64 y x) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
x |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
#s(literal -1/192 binary64) |
(*.f64 x x) |
x |
#s(literal 1/8 binary64) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(-.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
x |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
y |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 y (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
#s(literal 1 binary64) |
(*.f64 x y) |
x |
y |
(neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 x y)) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 y (neg.f64 x)) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) |
(neg.f64 y) |
y |
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
(*.f64 x (*.f64 x y)) |
(*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 y y))))) |
(neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
(neg.f64 (*.f64 x (*.f64 x (*.f64 y y)))) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x (*.f64 y y))) |
(*.f64 x (*.f64 x y)) |
x |
(*.f64 x y) |
(neg.f64 (*.f64 x y)) |
(*.f64 y (neg.f64 x)) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 x y) |
#s(literal 0 binary64) |
(*.f64 y x) |
(*.f64 x y) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
x |
#s(literal 1/2 binary64) |
(log.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 93.7% | (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) |
| ✓ | accuracy | 93.7% | (*.f64 y (*.f64 x (*.f64 x y))) |
| ✓ | accuracy | 63.2% | (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
| ✓ | accuracy | 50.9% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x y)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (*.f64 x y)) |
| ✓ | accuracy | 93.7% | (*.f64 y (*.f64 x (*.f64 x y))) |
| ✓ | accuracy | 50.9% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
| ✓ | accuracy | 100.0% | (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
| ✓ | accuracy | 100.0% | (log.f64 #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
| ✓ | accuracy | 99.2% | (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
| ✓ | accuracy | 95.3% | (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
| 72.0ms | 256× | 0 | valid |
Compiled 239 to 39 computations (83.7% saved)
ival-mult: 26.0ms (49% of total)ival-add: 8.0ms (15.1% of total)ival-div: 5.0ms (9.4% of total)const: 4.0ms (7.5% of total)ival-log: 3.0ms (5.7% of total)ival-neg: 3.0ms (5.7% of total)ival-sub: 2.0ms (3.8% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))> |
#<alt (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))> |
#<alt (*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y))> |
#<alt (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)> |
#<alt (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))))> |
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x y))> |
#<alt (*.f64 x y)> |
#<alt (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))> |
#<alt (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))> |
#<alt (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x)))> |
#<alt (+.f64 #s(literal 0 binary64) (*.f64 y x))> |
#<alt (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))))> |
#<alt (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64)))> |
#<alt (log.f64 #s(literal 2 binary64))> |
#<alt (*.f64 y (*.f64 x (*.f64 x y)))> |
#<alt (*.f64 x (*.f64 x y))> |
| Outputs |
|---|
#<alt (log 2)> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y)))> |
#<alt (+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y)))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* -1/192 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3)))))> |
#<alt (* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192))> |
#<alt (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y)))))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y)))))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y)))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y)))))> |
#<alt 1/8> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (+ 1/8 (* -1/192 (pow x 2)))> |
#<alt (* -1/192 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* -1/192 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (log 2)> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (+ (log 2) (* x (- 1/2 y)))> |
#<alt (* x (- 1/2 y))> |
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))> |
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))> |
#<alt (* x (- (+ 1/2 (/ (log 2) x)) y))> |
#<alt (* x (- 1/2 y))> |
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))> |
#<alt (* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x)))))> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))> |
#<alt (+ (log 2) (+ (* -1 (* x y)) (* 1/2 x)))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))> |
#<alt (* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y)))))> |
#<alt (* x (- 1/2 y))> |
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))> |
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))> |
#<alt (* x (- (+ 1/2 (* 1/8 x)) y))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* 1/8 (pow x 2))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* x (+ 1/2 (* 1/8 x)))> |
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x))))> |
#<alt (* -1 (* x y))> |
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))> |
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))> |
#<alt (* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))> |
#<alt (* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y)))))> |
#<alt (- 1/2 y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (- (+ 1/2 (* 1/8 x)) y)> |
#<alt (* 1/8 x)> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x)))> |
#<alt (* 1/8 x)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8)))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (+ 1/2 (+ (* -1 y) (* 1/8 x)))> |
#<alt (* -1 y)> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt (* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (+ 1/2 (* 1/8 x))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* 1/8 x)> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/8 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (/ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x y))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (* -1 (* (pow x 2) (pow y 2)))> |
#<alt (log 2)> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (+ (log 2) (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ (log 2) x)))> |
#<alt (* x (+ 1/2 (/ (log 2) x)))> |
#<alt (* x (+ 1/2 (/ (log 2) x)))> |
#<alt (* 1/2 x)> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))> |
#<alt (* -1 (* x (- (* -1 (/ (log 2) x)) 1/2)))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) (pow y 2))> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
#<alt (* (pow x 2) y)> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | (/ 1 (* x y)) |
| 0.0ms | y | @ | 0 | (+ (* (+ (* -1/192 (* x x)) 1/8) (* x x)) (+ (* x (- 1/2 y)) (log 2))) |
| 0.0ms | x | @ | 0 | (/ 1 (* x y)) |
| 0.0ms | x | @ | -inf | (+ (* x (- 1/2 y)) (log 2)) |
| 0.0ms | y | @ | inf | (+ (* (+ (* -1/192 (* x x)) 1/8) (* x x)) (+ (* x (- 1/2 y)) (log 2))) |
| 1× | batch-egg-rewrite |
| 4 550× | lower-fma.f32 |
| 4 540× | lower-fma.f64 |
| 4 178× | lower-*.f32 |
| 4 160× | lower-*.f64 |
| 3 636× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 162 |
| 0 | 61 | 150 |
| 1 | 255 | 104 |
| 2 | 2001 | 104 |
| 0 | 8234 | 102 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(*.f64 x x) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) |
(fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 x y) |
(neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(+.f64 #s(literal 0 binary64) (*.f64 y x)) |
(*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 y (*.f64 x (*.f64 x y))) |
(*.f64 x (*.f64 x y)) |
| Outputs |
|---|
(+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) |
(+.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(+.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(+.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(+.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64))) |
(+.f64 (fma.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (log.f64 #s(literal 2 binary64))) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)))) (-.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y))) (log.f64 #s(literal 2 binary64))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(fma.f64 (-.f64 #s(literal 1/2 binary64) y) x (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) |
(fma.f64 (fma.f64 (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) (*.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (-.f64 #s(literal 1/2 binary64) y))) (*.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x (-.f64 #s(literal 1/2 binary64) y)))))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 1/2 binary64)))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) |
(fma.f64 (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) x (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))) (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64))))) (pow.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (-.f64 (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 (*.f64 x x) (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))))))) |
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(fma.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (/.f64 x (*.f64 x y)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (/.f64 x (*.f64 x y)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) x) (/.f64 x y) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) x) (/.f64 x y) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x y) x) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x y) x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x y)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x y)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 x x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 x x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -1 binary64)) (*.f64 x #s(literal 0 binary64))) |
(fma.f64 (pow.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x)) |
(neg.f64 (neg.f64 (*.f64 (*.f64 x x) y))) |
(neg.f64 (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 (/.f64 x (*.f64 x y))))) |
(neg.f64 (*.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal -1 binary64) (*.f64 x y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) x) (neg.f64 y)) |
(/.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (*.f64 x y))) (*.f64 y (*.f64 (*.f64 x x) y))) |
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal 1 binary64)) (neg.f64 (*.f64 x y))) |
(/.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (*.f64 x y)) x) (*.f64 y (*.f64 (*.f64 x x) y))) |
(/.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) #s(literal 1 binary64)) (*.f64 x y)) |
(/.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 x)) y) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (*.f64 x y)))) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal 1 binary64))) (*.f64 x y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (*.f64 x y)) x)) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) #s(literal 1 binary64))) (neg.f64 (*.f64 x y))) |
(/.f64 (neg.f64 (/.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 x))) (neg.f64 y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y) (-.f64 (*.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal 0 binary64))) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 x #s(literal 0 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y) (-.f64 (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) x)) (*.f64 (*.f64 (*.f64 x x) y) (*.f64 #s(literal 0 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 x #s(literal 0 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 (*.f64 x x) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 #s(literal 0 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (*.f64 x x) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (*.f64 (*.f64 x x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (neg.f64 (*.f64 (*.f64 x x) y)) (*.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (*.f64 x x) y)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x y)) |
(*.f64 (*.f64 x x) y) |
(*.f64 y (*.f64 x x)) |
(*.f64 y (*.f64 (neg.f64 (*.f64 (*.f64 x x) y)) (neg.f64 (/.f64 x (*.f64 x y))))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) |
(*.f64 (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y))) (neg.f64 (/.f64 x (*.f64 x y)))) |
(*.f64 (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(*.f64 (neg.f64 y) (*.f64 (*.f64 (*.f64 x x) y) (neg.f64 (/.f64 x (*.f64 x y))))) |
(*.f64 (*.f64 x y) x) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 (/.f64 x (*.f64 x y))))) |
(*.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (/.f64 x (*.f64 x y))) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (/.f64 y (neg.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 x)) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x x) (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 (*.f64 x y))) |
(*.f64 (/.f64 x (neg.f64 x)) (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (/.f64 x (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) x) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (*.f64 x x) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x y))) |
(*.f64 (pow.f64 (/.f64 x x) #s(literal -1 binary64)) (pow.f64 (/.f64 (neg.f64 y) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) x) #s(literal -1 binary64)) (pow.f64 (/.f64 y (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 x) (neg.f64 (*.f64 y (*.f64 (*.f64 x x) y)))) #s(literal -1 binary64)) (pow.f64 (/.f64 y x) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 14 558× | lower-fma.f64 |
| 14 558× | lower-fma.f32 |
| 3 262× | lower-*.f64 |
| 3 262× | lower-*.f32 |
| 3 030× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 2407 |
| 1 | 417 | 2404 |
| 2 | 1220 | 2396 |
| 3 | 3797 | 2352 |
| 0 | 8381 | 2236 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))) |
(* -1/192 (pow x 4)) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
1/8 |
(+ 1/8 (* -1/192 (pow x 2))) |
(+ 1/8 (* -1/192 (pow x 2))) |
(+ 1/8 (* -1/192 (pow x 2))) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* -1/192 (pow x 2)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(log 2) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- 1/2 y))) |
(+ (log 2) (* x (- 1/2 y))) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(* x (- 1/2 y)) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(* x (- 1/2 y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* 1/8 (pow x 2)) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (+ 1/2 (* 1/8 x))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(* y (+ (* -1 x) (/ (* x (+ 1/2 (* 1/8 x))) y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(* -1 (* y (+ x (* -1 (/ (* x (+ 1/2 (* 1/8 x))) y))))) |
(- 1/2 y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(- (+ 1/2 (* 1/8 x)) y) |
(* 1/8 x) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* x (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(* 1/8 x) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(* -1 (* x (- (* -1 (/ (- 1/2 y) x)) 1/8))) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(+ 1/2 (+ (* -1 y) (* 1/8 x))) |
(* -1 y) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* y (- (+ (* 1/8 (/ x y)) (* 1/2 (/ 1 y))) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (+ 1/2 (* 1/8 x)) y))))) |
1/2 |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (* 1/8 x)) |
(+ 1/2 (* 1/8 x)) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* 1/8 x) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* x (+ 1/8 (* 1/2 (/ 1 x)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(/ 1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(* -1 (* (pow x 2) (pow y 2))) |
(log 2) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* 1/2 x)) |
(+ (log 2) (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ (log 2) x))) |
(* x (+ 1/2 (/ (log 2) x))) |
(* x (+ 1/2 (/ (log 2) x))) |
(* 1/2 x) |
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) |
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) (pow y 2)) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
(* (pow x 2) y) |
| Outputs |
|---|
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* 1/8 x)) y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- (+ 1/2 (* x (+ 1/8 (* -1/192 (pow x 2))))) y))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (+ (* 1/8 (/ 1 (pow x 2))) (/ (log 2) (pow x 4)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) x)) #s(literal -1/192 binary64))) |
(* -1/192 (pow x 4)) |
(*.f64 x (*.f64 x (*.f64 #s(literal -1/192 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(* (pow x 4) (- (+ (/ 1/2 (pow x 3)) (* 1/8 (/ 1 (pow x 2)))) (+ 1/192 (/ y (pow x 3))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(* (pow x 4) (- (+ (* -1 (/ (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))) (pow x 3))) (* 1/8 (/ 1 (pow x 2)))) 1/192)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 #s(literal 2 binary64)) x) y)) x)) #s(literal -1/192 binary64))) |
(+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2))))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (+ (/ (log 2) y) (/ (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))) y))))) |
(fma.f64 (*.f64 x (*.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)))) #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (+ (* 1/2 x) (* (pow x 2) (+ 1/8 (* -1/192 (pow x 2)))))) y))))) |
(fma.f64 x (-.f64 (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* -1/192 (pow x 2))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow x 2))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(+ 1/8 (* -1/192 (pow x 2))) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* -1/192 (pow x 2)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* -1/192 (pow x 2)) |
(*.f64 #s(literal -1/192 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(* (pow x 2) (- (* 1/8 (/ 1 (pow x 2))) 1/192)) |
(fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(log 2) |
(log.f64 #s(literal 2 binary64)) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* x (- 1/2 y))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* x (- 1/2 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* x (- (+ 1/2 (/ (log 2) x)) y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* x (- 1/2 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x (+ (* -1 (- 1/2 y)) (* -1 (/ (log 2) x))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(+ (log 2) (+ (* -1 (* x y)) (* 1/2 x))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* y (+ (* -1 x) (+ (* 1/2 (/ x y)) (/ (log 2) y)))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* x y)) |
(*.f64 x (neg.f64 y)) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* -1 (* y (+ x (* -1 (/ (+ (log 2) (* 1/2 x)) y))))) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(* x (- 1/2 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* x (- (+ 1/2 (* 1/8 x)) y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* 1/8 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/8 binary64))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* (pow x 2) (- (+ 1/8 (* 1/2 (/ 1 x))) (/ y x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(* x (+ 1/2 (* 1/8 x))) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
(+ (* -1 (* x y)) (* x (+ 1/2 (* 1/8 x)))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal -1/8 binary64) y))) |
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(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64)))) |
(* -1 (* x (- (* -1 (/ (log 2) x)) 1/2))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) (neg.f64 (log.f64 #s(literal 2 binary64)))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) (pow y 2)) |
(*.f64 x (*.f64 y (*.f64 x y))) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
(* (pow x 2) y) |
(*.f64 x (*.f64 x y)) |
Compiled 68 091 to 5 967 computations (91.2% saved)
39 alts after pruning (27 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 459 | 12 | 2 471 |
| Fresh | 4 | 15 | 19 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 10 | 10 |
| Total | 2 466 | 39 | 2 505 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.3% | (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
| ✓ | 99.2% | (fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| ✓ | 69.5% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| ✓ | 51.4% | (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| 51.2% | (fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) | |
| ✓ | 74.8% | (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
| ✓ | 47.3% | (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| 31.0% | (/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) | |
| 31.5% | (/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) | |
| 54.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y x (log.f64 #s(literal 2 binary64))))) | |
| 67.4% | (/.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) | |
| 24.4% | (/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| 1.2% | (/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) | |
| 19.4% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| 17.0% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| 12.1% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) | |
| 19.2% | (/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) | |
| 17.5% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) | |
| 27.4% | (/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) | |
| 53.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) | |
| ✓ | 99.2% | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| ✓ | 88.4% | (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| 30.1% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) | |
| 28.1% | (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) | |
| 5.5% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) | |
| 12.5% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) | |
| 6.0% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) | |
| 13.3% | (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) | |
| 35.7% | (*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) | |
| 6.9% | (*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) | |
| 23.7% | (*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) | |
| 35.5% | (*.f64 x (-.f64 #s(literal 1/2 binary64) y)) | |
| ✓ | 53.7% | (*.f64 x (neg.f64 y)) |
| 3.4% | (*.f64 x #s(literal 1/2 binary64)) | |
| ✓ | 7.1% | (*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
| ✓ | 46.1% | (log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 48.1% | (log1p.f64 (exp.f64 x)) |
| 47.0% | (log1p.f64 #s(literal 1 binary64)) | |
| 46.1% | (log.f64 (+.f64 x #s(literal 2 binary64))) |
Compiled 1 342 to 535 computations (60.1% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(/.f64 (*.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 y x)) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) (fma.f64 y x (log.f64 #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 y (*.f64 x (*.f64 y x))) (*.f64 y (*.f64 x (*.f64 y x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 y (*.f64 x (*.f64 y x)))) (fma.f64 y x (log.f64 #s(literal 2 binary64))))) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
3 calls:
| 15.0ms | x |
| 15.0ms | y |
| 12.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) |
(log1p.f64 (exp.f64 x)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
| Outputs |
|---|
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
3 calls:
| 16.0ms | y |
| 13.0ms | x |
| 12.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | x |
| 99.2% | 1 | y |
| 99.2% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 #s(literal 2 binary64)) x)) (*.f64 x (*.f64 x x)))))) |
(log1p.f64 (exp.f64 x)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
3 calls:
| 21.0ms | x |
| 12.0ms | y |
| 11.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
| 92.2% | 3 | y |
| 98.3% | 2 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 17 to 12 computations (29.4% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64))) |
1 calls:
| 12.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64))) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.9% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y)) |
1 calls:
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) |
(*.f64 x (neg.f64 y)) |
2 calls:
| 10.0ms | x |
| 9.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 87.5% | 3 | x |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(log1p.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 (+.f64 x #s(literal 2 binary64))) |
(*.f64 x (neg.f64 y)) |
1 calls:
| 9.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
(log.f64 #s(literal 2 binary64)) |
(log1p.f64 #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
(log.f64 #s(literal 2 binary64)) |
(*.f64 x (neg.f64 y)) |
1 calls:
| 10.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.3% | 3 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 x (neg.f64 y)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 x x)) |
(*.f64 x (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64))) |
(*.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x y)) (/.f64 (neg.f64 y) (*.f64 x y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 y x)) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 (*.f64 y y))))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 (neg.f64 (*.f64 x y)) y) x) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(*.f64 (neg.f64 (*.f64 x y)) (*.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (*.f64 (*.f64 x y) (neg.f64 (*.f64 x y)))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)) y) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 y)) x) |
(/.f64 (/.f64 (*.f64 y (*.f64 (*.f64 x x) y)) (neg.f64 y)) x) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (*.f64 y (*.f64 x (*.f64 x y))))) |
(*.f64 x (-.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (*.f64 x (*.f64 x x)) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 1/64 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/16 binary64)))) y)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/192 binary64))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 x (*.f64 y (*.f64 (*.f64 x x) y))) (*.f64 x y))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 y x) (*.f64 y (*.f64 x (*.f64 y x)))) (+.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 x (*.f64 y x)) (*.f64 #s(literal 0 binary64) (*.f64 y x))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 (+.f64 #s(literal -1/192 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/2 binary64) y) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x y)) x) x) (neg.f64 (*.f64 x y)))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) x) (*.f64 y (*.f64 x (*.f64 x y))))) (+.f64 #s(literal 0 binary64) (*.f64 y x))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (*.f64 (*.f64 (*.f64 x y) (*.f64 y (*.f64 x (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (*.f64 x y)))))) |
(/.f64 (*.f64 (neg.f64 y) (/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 x (*.f64 x y)))) x) (neg.f64 (*.f64 x y)))) (*.f64 (/.f64 y x) (/.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (neg.f64 y) (*.f64 x (*.f64 y x))) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 (neg.f64 (*.f64 x y)) (/.f64 (*.f64 y (*.f64 x (*.f64 x y))) (neg.f64 x)))) (*.f64 (neg.f64 (*.f64 x y)) y))) |
| Outputs |
|---|
(*.f64 x (neg.f64 y)) |
3 calls:
| 11.0ms | x |
| 9.0ms | y |
| 8.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 1 | x |
| 53.7% | 1 | y |
| 53.7% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
Compiled 17 to 12 computations (29.4% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 1/2 binary64)) |
3 calls:
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.4% | 1 | (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
| 3.4% | 1 | y |
| 3.4% | 1 | x |
Compiled 17 to 12 computations (29.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -163.77131040561434 | -0.0237698682800696 |
| 7.0ms | 128× | 0 | valid |
Compiled 230 to 155 computations (32.6% saved)
ival-sub: 1.0ms (22% of total)ival-exp: 1.0ms (22% of total)ival-log1p: 1.0ms (22% of total)ival-mult: 1.0ms (22% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | -163.77131040561434 | -0.0237698682800696 |
| 8.0ms | 128× | 0 | valid |
Compiled 214 to 155 computations (27.6% saved)
ival-sub: 2.0ms (36.1% of total)ival-exp: 1.0ms (18.1% of total)ival-log1p: 1.0ms (18.1% of total)ival-mult: 1.0ms (18.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -163.77131040561434 | -0.0237698682800696 |
| 7.0ms | 128× | 0 | valid |
Compiled 174 to 131 computations (24.7% saved)
ival-sub: 1.0ms (24.7% of total)ival-exp: 1.0ms (24.7% of total)ival-log1p: 1.0ms (24.7% of total)ival-mult: 1.0ms (24.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -163.77131040561434 | -0.0237698682800696 |
| 9.0ms | 128× | 0 | valid |
Compiled 150 to 115 computations (23.3% saved)
ival-mult: 3.0ms (47.8% of total)ival-log1p: 2.0ms (31.9% of total)ival-sub: 1.0ms (15.9% of total)ival-exp: 1.0ms (15.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | -1029691711359329800.0 | -163.77131040561434 |
| 8.0ms | 160× | 0 | valid |
Compiled 174 to 131 computations (24.7% saved)
ival-exp: 2.0ms (42.3% of total)ival-sub: 1.0ms (21.1% of total)ival-log1p: 1.0ms (21.1% of total)ival-mult: 1.0ms (21.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 492.30785241916203 | 20728.129874163067 |
| 0.0ms | 7.099664356256262e-16 | 0.6813328705860201 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 492.30785241916203 | 20728.129874163067 |
| 0.0ms | 7.099664356256262e-16 | 0.6813328705860201 |
Compiled 14 to 13 computations (7.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 492.30785241916203 | 20728.129874163067 |
| 0.0ms | 7.099664356256262e-16 | 0.6813328705860201 |
Compiled 14 to 13 computations (7.1% saved)
| 1× | egg-herbie |
| 18× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 12× | *-commutative_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 225 |
| 1 | 77 | 225 |
| 2 | 88 | 225 |
| 3 | 93 | 225 |
| 4 | 95 | 225 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -34 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -170 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 x (neg.f64 y)) |
(*.f64 x #s(literal 1/2 binary64)) |
| Outputs |
|---|
(-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x (log1p.f64 (exp.f64 x))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (*.f64 x x) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64))))) |
(if (<=.f64 x #s(literal -5854679515581645/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/192 binary64) (*.f64 x x) #s(literal 1/8 binary64)) (-.f64 #s(literal 1/2 binary64) y)) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -34 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 (fma.f64 x #s(literal 1/8 binary64) #s(literal 1/2 binary64)) y) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -3152519739159347/2251799813685248 binary64)) (*.f64 x (neg.f64 y)) (fma.f64 x (-.f64 #s(literal 1/2 binary64) y) (log.f64 #s(literal 2 binary64)))) |
(if (<=.f64 x #s(literal -170 binary64)) (*.f64 x (neg.f64 y)) (-.f64 (log.f64 #s(literal 2 binary64)) (*.f64 x y))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (fma.f64 x #s(literal 1/2 binary64) (log.f64 #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (log.f64 (+.f64 x #s(literal 2 binary64))) (*.f64 x (neg.f64 y)))) |
(if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x (neg.f64 y)) (if (<=.f64 (-.f64 (log.f64 (+.f64 #s(literal 1 binary64) (exp.f64 x))) (*.f64 x y)) #s(literal 500 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 x (neg.f64 y)))) |
(*.f64 x (neg.f64 y)) |
(*.f64 x #s(literal 1/2 binary64)) |
| 14 558× | lower-fma.f64 |
| 14 558× | lower-fma.f32 |
| 11 474× | lower-fma.f64 |
| 11 474× | lower-fma.f32 |
| 11 174× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 20 |
| 0 | 13 | 20 |
| 1 | 47 | 20 |
| 2 | 311 | 20 |
| 3 | 2718 | 20 |
| 0 | 9051 | 16 |
| 0 | 25 | 105 |
| 0 | 47 | 101 |
| 1 | 213 | 91 |
| 2 | 1871 | 91 |
| 0 | 8400 | 91 |
| 0 | 67 | 400 |
| 1 | 180 | 400 |
| 2 | 389 | 400 |
| 3 | 1353 | 400 |
| 4 | 4014 | 370 |
| 5 | 6856 | 370 |
| 0 | 8132 | 300 |
| 0 | 135 | 1163 |
| 1 | 416 | 1134 |
| 2 | 1078 | 1134 |
| 3 | 4108 | 1122 |
| 0 | 8190 | 1002 |
| 0 | 140 | 2407 |
| 1 | 417 | 2404 |
| 2 | 1220 | 2396 |
| 3 | 3797 | 2352 |
| 0 | 8381 | 2236 |
| 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 |
| 1× | iter limit |
Compiled 414 to 191 computations (53.9% saved)
Compiled 532 to 162 computations (69.5% saved)
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