
Time bar (total: 5.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 3 |
| 16.7% | 12.5% | 62.5% | 0% | 0% | 25% | 0% | 4 |
| 30% | 18.7% | 43.7% | 0% | 0% | 37.5% | 0% | 5 |
| 38.9% | 21.9% | 34.4% | 0% | 0% | 43.7% | 0% | 6 |
| 44.1% | 23.4% | 29.7% | 0% | 0% | 46.9% | 0% | 7 |
| 47% | 24.2% | 27.3% | 0% | 0% | 48.4% | 0% | 8 |
| 48.5% | 24.6% | 26.2% | 0% | 0% | 49.2% | 0% | 9 |
| 49.2% | 24.8% | 25.6% | 0% | 0% | 49.6% | 0% | 10 |
| 49.6% | 24.9% | 25.3% | 0% | 0% | 49.8% | 0% | 11 |
| 49.8% | 24.9% | 25.1% | 0% | 0% | 49.9% | 0% | 12 |
Compiled 11 to 9 computations (18.2% saved)
| 967.0ms | 7 074× | 1 | invalid |
| 484.0ms | 8 256× | 0 | valid |
| 79.0ms | 1 130× | 0 | invalid |
ival-sqrt: 270.0ms (24.9% of total)ival-log: 227.0ms (20.9% of total)ival-mult: 157.0ms (14.5% of total)ival-add: 140.0ms (12.9% of total)ival-sub: 133.0ms (12.2% of total)adjust: 131.0ms (12.1% of total)ival-true: 13.0ms (1.2% of total)exact: 10.0ms (0.9% of total)ival-assert: 6.0ms (0.6% of total)| 1× | egg-herbie |
| 29 894× | lower-fma.f64 |
| 29 894× | lower-fma.f32 |
| 4 210× | lower-*.f32 |
| 4 208× | lower-*.f64 |
| 2 884× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 21 |
| 1 | 27 | 19 |
| 2 | 59 | 19 |
| 3 | 130 | 19 |
| 4 | 295 | 19 |
| 5 | 579 | 19 |
| 6 | 1088 | 19 |
| 7 | 1677 | 19 |
| 8 | 3021 | 19 |
| 9 | 4118 | 19 |
| 10 | 5059 | 19 |
| 11 | 5487 | 19 |
| 12 | 5727 | 19 |
| 13 | 5799 | 19 |
| 14 | 5883 | 19 |
| 15 | 6475 | 19 |
| 16 | 7565 | 19 |
| 17 | 7621 | 19 |
| 18 | 7719 | 19 |
| 19 | 7753 | 19 |
| 20 | 7769 | 19 |
| 0 | 7 | 9 |
| 0 | 12 | 9 |
| 1 | 21 | 9 |
| 2 | 25 | 9 |
| 3 | 40 | 9 |
| 4 | 71 | 9 |
| 5 | 132 | 9 |
| 6 | 292 | 9 |
| 7 | 572 | 9 |
| 8 | 2045 | 9 |
| 9 | 3155 | 9 |
| 10 | 4433 | 9 |
| 11 | 5106 | 9 |
| 12 | 5408 | 9 |
| 13 | 5593 | 9 |
| 14 | 5695 | 9 |
| 15 | 6014 | 9 |
| 16 | 6560 | 9 |
| 17 | 7671 | 9 |
| 0 | 8091 | 8 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 128 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) | oflow-rescue | 128 | 0 |
| ↳ | (-.f64 (*.f64 x x) #s(literal 1 binary64)) | overflow | 128 | |
| ↳ | (*.f64 x x) | overflow | 128 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 0 |
| - | 0 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 0 |
| - | 0 | 0 | 128 |
| number | freq |
|---|---|
| 0 | 128 |
| 1 | 128 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 90 to 32 computations (64.4% saved)
ival-log: 6.0ms (30.1% of total)ival-mult: 4.0ms (20.1% of total)ival-sqrt: 4.0ms (20.1% of total)ival-sub: 3.0ms (15% of total)ival-add: 2.0ms (10% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)Compiled 1 to 1 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.6% | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
Compiled 10 to 7 computations (30% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| ✓ | accuracy | 53.5% | (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
| 18.0ms | 256× | 0 | valid |
Compiled 35 to 9 computations (74.3% saved)
ival-log: 5.0ms (43.3% of total)ival-mult: 2.0ms (17.3% of total)ival-sqrt: 2.0ms (17.3% of total)ival-sub: 1.0ms (8.7% of total)ival-add: 1.0ms (8.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))> |
#<alt (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))))> |
#<alt (*.f64 x x)> |
#<alt (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))> |
| Outputs |
|---|
#<alt (sqrt -1)> |
#<alt (+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1))))))> |
#<alt x> |
#<alt (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))))> |
#<alt (* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))))> |
#<alt (log (sqrt -1))> |
#<alt (+ (log (sqrt -1)) (/ x (sqrt -1)))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))> |
#<alt (+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1)))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -1/2) (log (/ -1 x)))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2)))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2))))))> |
#<alt (+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))))> |
#<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 (sqrt -1)> |
#<alt (+ x (sqrt -1))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1))))))> |
#<alt (+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1))))))))> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x))> |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | -inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 1.0ms | x | @ | inf | (log (+ x (sqrt (- (* x x) 1)))) |
| 0.0ms | x | @ | 0 | (sqrt (- (* x x) 1)) |
| 0.0ms | x | @ | inf | (sqrt (- (* x x) 1)) |
| 1× | batch-egg-rewrite |
| 4 994× | lower-fma.f64 |
| 4 994× | lower-fma.f32 |
| 3 230× | lower-*.f32 |
| 3 228× | lower-*.f64 |
| 2 612× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 26 |
| 0 | 12 | 26 |
| 1 | 49 | 26 |
| 2 | 322 | 26 |
| 3 | 3626 | 26 |
| 0 | 8646 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(*.f64 x x) |
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Outputs |
|---|
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (-.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal -1 binary64))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (fma.f64 x x (*.f64 x (*.f64 x (*.f64 x x)))))))) |
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))))) (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (*.f64 x x))))) |
(pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (fma.f64 x x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (+.f64 x #s(literal -1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal 1 binary64)))))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (*.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (/.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 #s(literal 0 binary64) (log.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (neg.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (*.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (/.f64 (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))) |
(+.f64 (neg.f64 (log.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))) (log.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) |
(+.f64 (neg.f64 (log.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
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(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(*.f64 (-.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x))) |
(*.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x) (-.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) x)))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (-.f64 (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))) (*.f64 (fma.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))))))) (-.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))))) |
(*.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))) (fma.f64 x x (fma.f64 x (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))) |
| 1× | egg-herbie |
| 10 146× | lower-fma.f64 |
| 10 146× | lower-fma.f32 |
| 3 604× | lower-*.f64 |
| 3 604× | lower-*.f32 |
| 2 758× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 543 |
| 1 | 403 | 517 |
| 2 | 1120 | 510 |
| 3 | 3274 | 472 |
| 4 | 7780 | 472 |
| 0 | 8340 | 452 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(sqrt -1) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(log (sqrt -1)) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -1/2) (log (/ -1 x))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(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) |
(sqrt -1) |
(+ x (sqrt -1)) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(/ 1/2 x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
| Outputs |
|---|
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ (sqrt -1) (* 1/2 (/ (pow x 2) (sqrt -1)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x x) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* (pow x 2) (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 x (*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* (pow x 2) (+ (* (pow x 2) (- (* 1/16 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/8 (/ 1 (pow (sqrt -1) 3))))) (* 1/2 (/ 1 (sqrt -1)))))) |
(fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (/.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal -1 binary64))) |
x |
(* x (- 1 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 x (fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/2 binary64) x))) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) x) |
(* -1 (* x (+ 1 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2)))))) |
(-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) |
(* -1 (* x (- (+ 1 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2)))))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) x) (fma.f64 x (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) x)) |
(log (sqrt -1)) |
(log.f64 (sqrt.f64 #s(literal -1 binary64))) |
(+ (log (sqrt -1)) (/ x (sqrt -1))) |
(+.f64 (log.f64 (sqrt.f64 #s(literal -1 binary64))) (/.f64 x (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* -1/6 (/ (pow x 2) (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) |
(fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1 binary64)) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log (sqrt -1)) (* x (+ (* (pow x 2) (- (* 3/40 (/ (pow x 2) (pow (sqrt -1) 5))) (* 1/6 (/ 1 (pow (sqrt -1) 3))))) (/ 1 (sqrt -1))))) |
(fma.f64 x (fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal -1/6 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 x x) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (*.f64 (*.f64 x x) #s(literal 3/40 binary64)))) (log.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 3/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -3/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 3/32 (* 5/96 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (+.f64 (log.f64 x) (+.f64 (/.f64 (+.f64 #s(literal -3/32 binary64) (/.f64 #s(literal -5/96 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) |
(+ (log -1/2) (log (/ -1 x))) |
(+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x)))) |
(+ (log -1/2) (+ (log (/ -1 x)) (* 1/4 (/ 1 (pow x 2))))) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 #s(literal -1/2 binary64)) (neg.f64 (log.f64 (neg.f64 x))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (* 1/4 (/ 1 (pow x 2)))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(+ (log -1/2) (+ (log (/ -1 x)) (+ (/ 3/32 (pow x 4)) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6))))))) |
(+.f64 (neg.f64 (log.f64 (neg.f64 x))) (+.f64 (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (log.f64 #s(literal -1/2 binary64)) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal 3/32 binary64) (*.f64 x (*.f64 x (*.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) |
(pow x 2) |
(*.f64 x x) |
(sqrt -1) |
(sqrt.f64 #s(literal -1 binary64)) |
(+ x (sqrt -1)) |
(+.f64 (sqrt.f64 #s(literal -1 binary64)) x) |
(+ (sqrt -1) (* x (+ 1 (* 1/2 (/ x (sqrt -1)))))) |
(fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 #s(literal -1 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (sqrt -1) (* x (+ 1 (* x (+ (* -1/8 (/ (pow x 2) (pow (sqrt -1) 3))) (* 1/2 (/ 1 (sqrt -1)))))))) |
(fma.f64 x (fma.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 #s(literal -1 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(* x (+ 2 (* -1 (/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) x)) |
(* x (- (+ 2 (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 4)))) (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 x (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (/.f64 #s(literal -1/2 binary64) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (* 1/8 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/8 (* 1/16 (/ 1 (pow x 2)))) (pow x 2))) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -1/16 binary64) (*.f64 x x))) (*.f64 x x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/16 (* 5/128 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/2 (* 1/8 (/ 1 (pow x 2))))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) (/.f64 (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal -5/128 binary64) (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
Compiled 5 973 to 752 computations (87.4% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 215 | 2 | 217 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 216 | 2 | 218 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
| ▶ | 100.0% | (log.f64 (*.f64 x #s(literal 2 binary64))) |
Compiled 13 to 10 computations (23.1% saved)
Found 5 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) x) |
| ✓ | accuracy | 100.0% | (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (log.f64 (*.f64 x #s(literal 2 binary64))) |
| 29.0ms | 256× | 0 | valid |
Compiled 32 to 10 computations (68.8% saved)
ival-log: 6.0ms (52.1% of total)ival-div: 2.0ms (17.4% of total)ival-mult: 2.0ms (17.4% of total)ival-add: 1.0ms (8.7% 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 x #s(literal 2 binary64)))> |
#<alt (*.f64 x #s(literal 2 binary64))> |
#<alt (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)))> |
#<alt (/.f64 #s(literal -1/2 binary64) x)> |
#<alt (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))> |
| Outputs |
|---|
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (log x))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (+ (log -1/2) (* -1 (log x)))> |
#<alt (+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4))))> |
#<alt (+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4))))> |
#<alt (+ (log 2) (* -1 (log (/ 1 x))))> |
#<alt (- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -2) (* -1 (log (/ -1 x))))> |
#<alt (- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2)))))> |
#<alt (- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2))))> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ -1/2 x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (/ (- (* 2 (pow x 2)) 1/2) x)> |
#<alt (* 2 x)> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* x (- 2 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 2 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2)))> |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | x | @ | inf | (log (* x 2)) |
| 25.0ms | x | @ | 0 | (log (* x 2)) |
| 17.0ms | x | @ | -inf | (log (* x 2)) |
| 1.0ms | x | @ | 0 | (log (+ (* x 2) (/ -1/2 x))) |
| 0.0ms | x | @ | -inf | (log (+ (* x 2) (/ -1/2 x))) |
| 1× | batch-egg-rewrite |
| 3 368× | lower-fma.f32 |
| 3 366× | lower-fma.f64 |
| 2 044× | lower-*.f32 |
| 2 042× | lower-*.f64 |
| 1 584× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 23 |
| 0 | 13 | 23 |
| 1 | 40 | 23 |
| 2 | 284 | 23 |
| 0 | 4143 | 23 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(*.f64 x #s(literal 2 binary64)) |
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal -1/2 binary64) x) |
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (log.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 x #s(literal 2 binary64))) (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (log.f64 (/.f64 x #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64))))) (neg.f64 (log.f64 (/.f64 x #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 #s(literal 2 binary64)) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) (log.f64 (/.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x #s(literal 2 binary64))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(/.f64 x #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 x) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) #s(literal -2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(+.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) |
(+.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) |
(+.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(+.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (neg.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(-.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x))))) |
(-.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (log.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (log.f64 (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x)))) |
(-.f64 (log.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) (log.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64))))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))) (*.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) #s(literal 3 binary64))) (fma.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (*.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) (+.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) |
(/.f64 (-.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))))) (*.f64 (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) (+.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (/.f64 #s(literal 1/2 binary64) x)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal -1/2 binary64) x) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) |
(pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(-.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64)))) (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 x (/.f64 (*.f64 x #s(literal 4 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (neg.f64 x) #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1/2 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) x) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 x (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 x (neg.f64 x))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x x))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 (-.f64 (/.f64 #s(literal -1/4 binary64) x) x) (neg.f64 x)))))) |
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(*.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 (fma.f64 x (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 x (neg.f64 x)))) |
| 1× | egg-herbie |
| 12 900× | lower-fma.f64 |
| 12 900× | lower-fma.f32 |
| 3 332× | lower-*.f64 |
| 3 332× | lower-*.f32 |
| 2 654× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 428 |
| 1 | 198 | 406 |
| 2 | 488 | 406 |
| 3 | 1189 | 388 |
| 4 | 2820 | 388 |
| 5 | 4757 | 380 |
| 0 | 8168 | 365 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (log x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(+ (log -1/2) (* -1 (log x))) |
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)))) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ -1/2 x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(* 2 x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(* 2 x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
| Outputs |
|---|
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (log x)) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x))) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(+ (log -1/2) (* -1 (log x))) |
(-.f64 (log.f64 #s(literal -1/2 binary64)) (log.f64 x)) |
(+ (log -1/2) (+ (* -4 (pow x 2)) (* -1 (log x)))) |
(-.f64 (log.f64 #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 4 binary64)) (log.f64 x))) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* -8 (pow x 2)) 4)))) |
(-.f64 (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -8 binary64) #s(literal -4 binary64))) (log.f64 #s(literal -1/2 binary64))) (log.f64 x)) |
(+ (log -1/2) (+ (* -1 (log x)) (* (pow x 2) (- (* (pow x 2) (- (* -64/3 (pow x 2)) 8)) 4)))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x (*.f64 x (fma.f64 (*.f64 x x) #s(literal -64/3 binary64) #s(literal -8 binary64))) #s(literal -4 binary64)) (log.f64 #s(literal -1/2 binary64))) (log.f64 x)) |
(+ (log 2) (* -1 (log (/ 1 x)))) |
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) |
(- (+ (log 2) (* -1 (log (/ 1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x))) |
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 x x))) (*.f64 x x))) |
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/192 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 x))) |
(+ (log -2) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (log.f64 (neg.f64 x))) |
(- (+ (log -2) (* -1 (log (/ -1 x)))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -2 binary64)) (/.f64 #s(literal -1/4 binary64) (*.f64 x x)))) |
(+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/4 (* 1/32 (/ 1 (pow x 2)))) (pow x 2))))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1/32 binary64) (*.f64 x x))) (*.f64 x x)))) |
(- (+ (log -2) (+ (* -1 (log (/ -1 x))) (* -1 (/ (+ 1/32 (* 1/192 (/ 1 (pow x 2)))) (pow x 4))))) (* 1/4 (/ 1 (pow x 2)))) |
(+.f64 (log.f64 #s(literal -2 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (/.f64 (+.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1/192 binary64) (*.f64 x x))) (*.f64 x x)) #s(literal 1/4 binary64)) (log.f64 (neg.f64 x)))) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(/ (- (* 2 (pow x 2)) 1/2) x) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* x (- 2 (* 1/2 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
(* -1 (* x (- (* 1/2 (/ 1 (pow x 2))) 2))) |
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal -1/2 binary64) x)) |
Compiled 3 995 to 517 computations (87.1% saved)
2 alts after pruning (0 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 202 | 0 | 202 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 202 | 2 | 204 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
| ✓ | 100.0% | (log.f64 (*.f64 x #s(literal 2 binary64))) |
Compiled 34 to 24 computations (29.4% saved)
| Inputs |
|---|
(log.f64 (*.f64 x #s(literal 2 binary64))) |
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Outputs |
|---|
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
3 calls:
| 2.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 2.0ms | x |
| 2.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 100.0% | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(log.f64 (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(log.f64 (*.f64 x #s(literal 2 binary64))) |
3 calls:
| 1.0ms | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
| 1.0ms | x |
| 1.0ms | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
| 100.0% | 1 | (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) |
Compiled 21 to 14 computations (33.3% saved)
| 1× | egg-herbie |
| 2× | *-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 11 |
| 1 | 9 | 11 |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (*.f64 x #s(literal 2 binary64))) |
| Outputs |
|---|
(log.f64 (fma.f64 x #s(literal 2 binary64) (/.f64 #s(literal -1/2 binary64) x))) |
(log.f64 (*.f64 x #s(literal 2 binary64))) |
| 10 146× | lower-fma.f64 |
| 10 146× | lower-fma.f32 |
| 3 604× | lower-*.f64 |
| 3 604× | lower-*.f32 |
| 2 758× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 543 |
| 1 | 403 | 517 |
| 2 | 1120 | 510 |
| 3 | 3274 | 472 |
| 4 | 7780 | 472 |
| 0 | 8340 | 452 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
Compiled 25 to 18 computations (28% saved)
Compiled 44 to 30 computations (31.8% saved)
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