
Time bar (total: 7.9s)
| 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 |
| 50% | 50% | 50% | 0% | 0% | 0% | 0% | 2 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 3 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 4 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 5 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 6 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 7 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 8 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 9 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 10 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0% | 0% | 0% | 25% | 0% | 12 |
Compiled 6 to 4 computations (33.3% saved)
| 223.0ms | 8 256× | 0 | valid |
| 0.0ms | 2× | 0 | invalid |
ival-log1p: 82.0ms (90.8% of total)ival-true: 6.0ms (6.6% of total)ival-assert: 3.0ms (3.3% of total)| 1× | egg-herbie |
| 20× | sub-neg |
| 12× | +-commutative |
| 8× | associate--r+ |
| 8× | associate-+l- |
| 6× | *-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 9 |
| 1 | 15 | 9 |
| 2 | 22 | 9 |
| 3 | 30 | 9 |
| 4 | 40 | 9 |
| 5 | 53 | 9 |
| 6 | 66 | 9 |
| 7 | 69 | 9 |
| 0 | 4 | 4 |
| 0 | 6 | 4 |
| 1 | 9 | 4 |
| 0 | 9 | 2 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 160 | 0 | - | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f64 | (log.f64 (+.f64 #s(literal 1 binary64) x)) | sensitivity | 160 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 160 | 0 |
| - | 0 | 96 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 160 | 0 | 0 |
| - | 0 | 0 | 96 |
| number | freq |
|---|---|
| 0 | 96 |
| 1 | 160 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 19.0ms | 512× | 0 | valid |
Compiled 32 to 20 computations (37.5% saved)
ival-log1p: 5.0ms (51.1% of total)ival-add: 4.0ms (40.9% 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 |
|---|---|---|
| ▶ | 43.2% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
Compiled 5 to 4 computations (20% saved)
| 1× | egg-herbie |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 192 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 4× | lower-+.f32 |
| 2× | lower-log1p.f32 |
| 2× | lift-+.f64 |
| 2× | lower-+.f64 |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 9 |
| 0 | 6 | 9 |
| 1 | 9 | 9 |
| 0 | 9 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(log1p.f64 x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
Found 2 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 43.2% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 9.0ms | 256× | 0 | valid |
Compiled 11 to 6 computations (45.5% saved)
ival-log1p: 2.0ms (50.8% of total)ival-add: 1.0ms (25.4% 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) x))> |
#<alt (+.f64 #s(literal 1 binary64) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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)))> |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log (+ 1 x)) |
| 0.0ms | x | @ | inf | (log (+ 1 x)) |
| 0.0ms | x | @ | -inf | (log (+ 1 x)) |
| 0.0ms | x | @ | inf | (+ 1 x) |
| 0.0ms | x | @ | -inf | (+ 1 x) |
| 1× | batch-egg-rewrite |
| 6 606× | lower-fma.f64 |
| 6 606× | lower-fma.f32 |
| 4 022× | lower-/.f64 |
| 4 022× | lower-/.f32 |
| 3 648× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 22 | 7 |
| 2 | 131 | 7 |
| 3 | 984 | 7 |
| 0 | 8620 | 5 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 #s(literal 1 binary64) x) |
| Outputs |
|---|
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(+.f64 (log1p.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log1p.f64 x)) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x))) (log1p.f64 (*.f64 x (*.f64 x x)))) |
(+.f64 (neg.f64 (log1p.f64 (neg.f64 x))) (log1p.f64 (neg.f64 (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) x))) #s(literal 1 binary64)))) (log1p.f64 (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))))) |
(+.f64 (log.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x))))) (log1p.f64 (fma.f64 x (neg.f64 x) x))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (fma.f64 x x x))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (log1p.f64 x))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (log.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) (log.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(-.f64 (log.f64 (-.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x x)))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (log.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 (neg.f64 (*.f64 x (*.f64 x x))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (*.f64 x (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (log1p.f64 (neg.f64 x)) (log1p.f64 (neg.f64 (*.f64 x x)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 (log1p.f64 x)) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))))) #s(literal 0 binary64)) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x)))))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) #s(literal 0 binary64)) |
(fma.f64 (*.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64)) |
(neg.f64 (neg.f64 (log1p.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 2 binary64)) (*.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))))) (-.f64 (pow.f64 (log1p.f64 (neg.f64 (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (neg.f64 x)) #s(literal 3 binary64))))) |
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(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
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(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (fma.f64 (-.f64 (*.f64 x x) x) (*.f64 x (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x x) x))) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (neg.f64 x) x)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 17 822× | lower-fma.f64 |
| 17 822× | lower-fma.f32 |
| 2 868× | lower-+.f64 |
| 2 868× | lower-+.f32 |
| 2 630× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 169 |
| 1 | 171 | 155 |
| 2 | 363 | 150 |
| 3 | 980 | 148 |
| 4 | 2419 | 144 |
| 5 | 4413 | 144 |
| 6 | 5329 | 144 |
| 7 | 6636 | 144 |
| 8 | 7416 | 144 |
| 9 | 7564 | 144 |
| 10 | 7608 | 144 |
| 11 | 7610 | 144 |
| 12 | 7610 | 144 |
| 13 | 7853 | 144 |
| 14 | 7970 | 144 |
| 15 | 7978 | 144 |
| 16 | 7986 | 144 |
| 17 | 7986 | 144 |
| 0 | 8425 | 138 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) 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))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
Compiled 11 129 to 1 116 computations (90% saved)
4 alts after pruning (4 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 361 | 4 | 365 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 362 | 4 | 366 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 62.7% | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ▶ | 63.8% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ▶ | 62.4% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ▶ | 100.0% | (log1p.f64 x) |
Compiled 33 to 20 computations (39.4% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| 1 072× | lower-fma.f32 |
| 1 060× | lower-fma.f64 |
| 340× | lower-*.f32 |
| 336× | lower-*.f64 |
| 232× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 63 |
| 0 | 30 | 63 |
| 1 | 56 | 63 |
| 2 | 95 | 63 |
| 3 | 183 | 63 |
| 4 | 394 | 63 |
| 5 | 470 | 63 |
| 6 | 606 | 63 |
| 7 | 607 | 63 |
| 0 | 607 | 63 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 x) |
x |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
x |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(log1p.f64 x) |
x |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) x) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
x |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
#s(literal -1/4 binary64) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| 43.0ms | 256× | 0 | valid |
Compiled 77 to 21 computations (72.7% saved)
ival-mult: 14.0ms (52.6% of total)ival-add: 6.0ms (22.5% of total)ival-log1p: 3.0ms (11.3% of total)const: 3.0ms (11.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (log1p.f64 x)> |
#<alt (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))> |
#<alt (*.f64 x x)> |
#<alt (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x)> |
#<alt (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))> |
#<alt (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (* -1 (log (/ 1 x))) (/ 1 x))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))> |
#<alt (- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x)))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))))> |
#<alt (+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))))> |
#<alt (* -1/4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))> |
#<alt (* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4))> |
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)> |
#<alt (- (* x (+ 1/3 (* -1/4 x))) 1/2)> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))> |
#<alt (* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))> |
#<alt 1/3> |
#<alt (+ 1/3 (* -1/4 x))> |
#<alt (+ 1/3 (* -1/4 x))> |
#<alt (+ 1/3 (* -1/4 x))> |
#<alt (* -1/4 x)> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* x (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* -1/4 x)> |
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/4 (* 1/3 (/ 1 x)))))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (+ (* (+ (* x 1/3) -1/2) (* x x)) x) |
| 0.0ms | x | @ | 0 | (+ (* x (* x -1/2)) x) |
| 0.0ms | x | @ | -inf | (* x -1/2) |
| 0.0ms | x | @ | inf | (+ (* x (* x -1/2)) x) |
| 0.0ms | x | @ | inf | (+ (* (+ (* x 1/3) -1/2) (* x x)) x) |
| 1× | batch-egg-rewrite |
| 6 642× | lower-fma.f32 |
| 6 630× | lower-fma.f64 |
| 4 832× | lower-*.f32 |
| 4 828× | lower-*.f64 |
| 4 352× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 50 |
| 0 | 30 | 50 |
| 1 | 138 | 50 |
| 2 | 1031 | 50 |
| 0 | 8336 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(log1p.f64 x) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 x #s(literal -1/2 binary64)) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(*.f64 x x) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(log.f64 (+.f64 x #s(literal 1 binary64))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (neg.f64 (log1p.f64 (-.f64 (*.f64 x x) x)))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (neg.f64 (log1p.f64 (neg.f64 x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 x x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(neg.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (*.f64 x x))) (fma.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (-.f64 (*.f64 x x) x)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (-.f64 (*.f64 x x) x)))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) (*.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (fma.f64 x (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1/2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (neg.f64 x) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/2 binary64) (*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (neg.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))) |
(neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal -1/262144 binary64) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4096 binary64) (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728 binary64)))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal -1/27 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/4096 binary64) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64) (+.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64)))) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/256 binary64) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)))) (neg.f64 (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64))))) |
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/4 binary64) #s(literal -1/3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal 1/9 binary64)) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/16 binary64) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/3 binary64)))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
| 1× | egg-herbie |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 2 638× | lower-*.f64 |
| 2 638× | lower-*.f32 |
| 1 860× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 713 |
| 1 | 297 | 698 |
| 2 | 773 | 686 |
| 3 | 2466 | 676 |
| 4 | 6230 | 672 |
| 0 | 8098 | 603 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* -1/2 x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* -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) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(* 1/3 x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(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) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1/4 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 4)) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
1/3 |
(+ 1/3 (* -1/4 x)) |
(+ 1/3 (* -1/4 x)) |
(+ 1/3 (* -1/4 x)) |
(* -1/4 x) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/4 x) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (log.f64 x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+.f64 (log.f64 (neg.f64 x)) (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 #s(literal -1 binary64)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (neg.f64 x)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(-.f64 (log.f64 (neg.f64 x)) (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) (log.f64 #s(literal -1 binary64)))) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* 1/3 (pow x 3)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 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) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 4) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 4) (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3) x)) 1/4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(* -1/4 (pow x 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/4 x)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -1/4 x)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(+ 1/3 (* -1/4 x)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) |
Compiled 12 739 to 1 181 computations (90.7% saved)
16 alts after pruning (12 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 434 | 12 | 446 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 4 | 4 |
| Done | 0 | 0 | 0 |
| Total | 434 | 16 | 450 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.7% | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | 63.8% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ▶ | 63.2% | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
| 63.8% | (fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) | |
| 62.8% | (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x) | |
| 62.9% | (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x) | |
| ▶ | 63.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
| 63.2% | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (*.f64 x x) x) | |
| 62.5% | (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) | |
| ✓ | 62.4% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ▶ | 63.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
| 33.1% | (*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))) | |
| ▶ | 5.1% | (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
| ▶ | 4.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| 5.5% | (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) | |
| ✓ | 100.0% | (log1p.f64 x) |
Compiled 517 to 288 computations (44.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
| ✓ | cost-diff | 448 | (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
| ✓ | cost-diff | 128 | (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) |
| 5 814× | lower-fma.f32 |
| 5 802× | lower-fma.f64 |
| 2 550× | lower-*.f32 |
| 2 532× | lower-*.f64 |
| 1 240× | distribute-neg-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 236 |
| 0 | 61 | 224 |
| 1 | 121 | 223 |
| 2 | 236 | 217 |
| 3 | 551 | 217 |
| 4 | 1180 | 217 |
| 5 | 1688 | 217 |
| 6 | 2667 | 217 |
| 7 | 6761 | 217 |
| 0 | 8056 | 203 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
x |
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 1/27 binary64) |
#s(literal -1/8 binary64) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) |
#s(literal 1/9 binary64) |
#s(literal 1/4 binary64) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
(fma.f64 (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) |
(/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(*.f64 x #s(literal 1/3 binary64)) |
x |
#s(literal 1/3 binary64) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) |
(fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x #s(literal -1/9 binary64))) |
#s(literal -1/9 binary64) |
(*.f64 x x) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
x |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) x) |
#s(literal -1/2 binary64) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
x |
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x)) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
(fma.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
#s(literal 1/27 binary64) |
#s(literal -1/8 binary64) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) |
(fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) |
#s(literal 1/9 binary64) |
#s(literal 1/4 binary64) |
(*.f64 x #s(literal 1/6 binary64)) |
#s(literal 1/6 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 75.8% | (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
| ✓ | accuracy | 99.9% | (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 83.2% | (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) |
| 78.0ms | 256× | 0 | valid |
Compiled 257 to 40 computations (84.4% saved)
ival-mult: 23.0ms (41.1% of total)const: 15.0ms (26.8% of total)ival-div: 8.0ms (14.3% of total)ival-add: 8.0ms (14.3% of total)ival-sub: 1.0ms (1.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))))> |
#<alt (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))> |
#<alt (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))> |
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x)> |
#<alt (*.f64 x (*.f64 x #s(literal -1/2 binary64)))> |
#<alt (*.f64 x #s(literal -1/2 binary64))> |
#<alt (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))> |
#<alt (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)))> |
#<alt (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))> |
#<alt (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)> |
#<alt (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))> |
#<alt (fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x)> |
#<alt (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))> |
#<alt (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64))> |
#<alt (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))> |
#<alt (*.f64 x #s(literal 1/3 binary64))> |
#<alt (*.f64 #s(literal -1/9 binary64) (*.f64 x x))> |
#<alt (*.f64 x #s(literal 1/6 binary64))> |
#<alt (*.f64 x (*.f64 x x))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt -1/2> |
#<alt (- (* -1/3 x) 1/2)> |
#<alt (- (* -1/3 x) 1/2)> |
#<alt (- (* -1/3 x) 1/2)> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt (* -1/3 x)> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 1/3 (* 1/2 (/ 1 x)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/9 (pow x 2)))> |
#<alt (+ 1/4 (* -1/9 (pow x 2)))> |
#<alt (+ 1/4 (* -1/9 (pow x 2)))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt (* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* -1/2 (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 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x)> |
#<alt (/ 3 (pow x 3))> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3))> |
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3))> |
#<alt (/ 3 (pow x 3))> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3))> |
#<alt (* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3)))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt 1/4> |
#<alt (+ 1/4 (* 1/6 x))> |
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))> |
#<alt (+ 1/4 (* x (+ 1/6 (* 1/9 x))))> |
#<alt (* 1/9 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* 1/9 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3)))> |
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt -1/8> |
#<alt (- (* 1/27 (pow x 3)) 1/8)> |
#<alt (- (* 1/27 (pow x 3)) 1/8)> |
#<alt (- (* 1/27 (pow x 3)) 1/8)> |
#<alt (* 1/27 (pow x 3))> |
#<alt (* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))> |
#<alt (* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3)))))> |
#<alt (* 1/27 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27)))> |
#<alt -2> |
#<alt (- (* -4/3 x) 2)> |
#<alt (- (* x (- (* -8/9 x) 4/3)) 2)> |
#<alt (- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2)> |
#<alt (/ 3 x)> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)> |
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x)> |
#<alt (/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x)> |
#<alt (/ 3 x)> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* -1/9 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (* x 1/6) |
| 1.0ms | x | @ | -inf | (+ (* (/ 1 (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x))))) (* x x)) x) |
| 1.0ms | x | @ | inf | (+ (* (/ (+ (* (* x (* x x)) 1/27) -1/8) (+ (+ (* (* x x) 1/9) 1/4) (* x 1/6))) (* x x)) x) |
| 0.0ms | x | @ | inf | (/ 1 (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x))))) |
| 0.0ms | x | @ | 0 | (/ 1 (/ (- -1/2 (* x 1/3)) (+ 1/4 (* -1/9 (* x x))))) |
| 1× | batch-egg-rewrite |
| 5 920× | lower-fma.f32 |
| 5 910× | lower-fma.f64 |
| 4 302× | lower-/.f32 |
| 4 292× | lower-/.f64 |
| 4 292× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 196 |
| 0 | 61 | 217 |
| 1 | 256 | 155 |
| 2 | 2086 | 155 |
| 0 | 8198 | 150 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) |
(-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x)) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) |
(fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x)))) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 x (*.f64 x x)) |
| Outputs |
|---|
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/9 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/9 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))) |
(+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64))))) (/.f64 (/.f64 #s(literal 1/64 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 x (*.f64 x #s(literal 1/9 binary64))) (*.f64 x #s(literal -1/6 binary64)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))))) (/.f64 (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)) (neg.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 #s(literal 1/16 binary64) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)) (*.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/9 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal 1/4 binary64))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
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(*.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64))))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/729 binary64) #s(literal 1/64 binary64))) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -1/9 binary64))) #s(literal 1/4 binary64)) #s(literal 1/16 binary64))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (-.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal 1/4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 x (*.f64 x (*.f64 x #s(literal 1/27 binary64))) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/6 binary64)))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/27 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 (*.f64 x #s(literal 1/3 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64))))) |
(*.f64 x #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x (*.f64 x #s(literal -1/9 binary64))) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal -1/9 binary64)) |
(*.f64 (*.f64 x #s(literal -1/9 binary64)) x) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 7 660× | lower-fma.f64 |
| 7 660× | lower-fma.f32 |
| 3 750× | lower-*.f64 |
| 3 750× | lower-*.f32 |
| 2 624× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 1534 |
| 1 | 461 | 1528 |
| 2 | 1140 | 1519 |
| 3 | 3347 | 1512 |
| 4 | 7496 | 1512 |
| 0 | 8196 | 1353 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(* 1/3 x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
-1/2 |
(- (* -1/3 x) 1/2) |
(- (* -1/3 x) 1/2) |
(- (* -1/3 x) 1/2) |
(* -1/3 x) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1/3 x) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
1/4 |
(+ 1/4 (* -1/9 (pow x 2))) |
(+ 1/4 (* -1/9 (pow x 2))) |
(+ 1/4 (* -1/9 (pow x 2))) |
(* -1/9 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(* -1/9 (pow x 2)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (pow x 2)) |
(* -1/2 (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 (pow x 2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1/2 x) |
(* x (- (* 1/3 x) 1/2)) |
(* x (- (* 1/3 x) 1/2)) |
(* x (- (* 1/3 x) 1/2)) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(* 1/3 x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x) |
(/ 3 (pow x 3)) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3)) |
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3)) |
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3)) |
(/ 3 (pow x 3)) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3)) |
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
1/4 |
(+ 1/4 (* 1/6 x)) |
(+ 1/4 (* x (+ 1/6 (* 1/9 x)))) |
(+ 1/4 (* x (+ 1/6 (* 1/9 x)))) |
(* 1/9 (pow x 2)) |
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/9 (pow x 2)) |
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(* 1/3 x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
-1/8 |
(- (* 1/27 (pow x 3)) 1/8) |
(- (* 1/27 (pow x 3)) 1/8) |
(- (* 1/27 (pow x 3)) 1/8) |
(* 1/27 (pow x 3)) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(* 1/27 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
-2 |
(- (* -4/3 x) 2) |
(- (* x (- (* -8/9 x) 4/3)) 2) |
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2) |
(/ 3 x) |
(/ (+ 3 (* 9/2 (/ 1 x))) x) |
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x) |
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x) |
(/ 3 x) |
(/ (+ 3 (* 9/2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x)) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* -1/9 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* -1/3 x) 1/2) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (* -1/3 x) 1/2) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(- (* -1/3 x) 1/2) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1/3 x) |
(*.f64 x #s(literal -1/3 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (+ 1/3 (* 1/2 (/ 1 x))))) |
(fma.f64 x #s(literal -1/3 binary64) #s(literal -1/2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/9 (pow x 2))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1/9 (pow x 2))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1/9 (pow x 2))) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
(* (pow x 2) (- (* 1/4 (/ 1 (pow x 2))) 1/9)) |
(fma.f64 #s(literal -1/9 binary64) (*.f64 x x) #s(literal 1/4 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal -1/12 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) x) |
(/.f64 (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/24 binary64) #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x) |
(/ 3 (pow x 3)) |
(/.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/4 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
(/ 3 (pow x 3)) |
(/.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- 9/2 (* 9/4 (/ 1 x))) x)) 3) (pow x 3))) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 9/4 binary64) x)) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) x))) x)) 3) (pow x 3))) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 (+.f64 #s(literal -9/4 binary64) (/.f64 #s(literal -135/8 binary64) x)) x)) x)) (*.f64 x (*.f64 x x))) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 1/6 x)) |
(fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (* x (+ 1/6 (* 1/9 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(+ 1/4 (* x (+ 1/6 (* 1/9 x)))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(* 1/9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(* 1/9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/9 binary64)) |
(* (pow x 2) (+ 1/9 (* 1/6 (/ 1 x)))) |
(*.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
(* (pow x 2) (+ 1/9 (+ (/ 1/4 (pow x 2)) (* 1/6 (/ 1 x))))) |
(fma.f64 x (fma.f64 x #s(literal 1/9 binary64) #s(literal 1/6 binary64)) #s(literal 1/4 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) (*.f64 x x) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
(- (* 1/27 (pow x 3)) 1/8) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(- (* 1/27 (pow x 3)) 1/8) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(- (* 1/27 (pow x 3)) 1/8) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* 1/27 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* (pow x 3) (- 1/27 (* 1/8 (/ 1 (pow x 3))))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* 1/27 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64))) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
(* -1 (* (pow x 3) (- (* 1/8 (/ 1 (pow x 3))) 1/27))) |
(fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -4/3 x) 2) |
(fma.f64 x #s(literal -4/3 binary64) #s(literal -2 binary64)) |
(- (* x (- (* -8/9 x) 4/3)) 2) |
(fma.f64 x (fma.f64 x #s(literal -8/9 binary64) #s(literal -4/3 binary64)) #s(literal -2 binary64)) |
(- (* x (- (* x (- (* -16/27 x) 8/9)) 4/3)) 2) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -16/27 binary64) #s(literal -8/9 binary64)) #s(literal -4/3 binary64)) #s(literal -2 binary64)) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ (+ 3 (* 9/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x) |
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (/ 27/4 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x) |
(/ (+ 3 (+ (* 9/2 (/ 1 x)) (+ (* 81/8 (/ 1 (pow x 3))) (/ 27/4 (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 3 binary64) (+.f64 (/.f64 #s(literal 81/8 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x))) x) |
(/ 3 x) |
(/.f64 #s(literal 3 binary64) x) |
(/ (+ 3 (* 9/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 9/2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) x)) 3) x)) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (+.f64 #s(literal 9/2 binary64) (/.f64 #s(literal 27/4 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 9/2 (+ (* 27/4 (/ 1 x)) (/ 81/8 (pow x 2)))) x)) 3) x)) |
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (+.f64 #s(literal -9/2 binary64) (/.f64 #s(literal -27/4 binary64) x)) (/.f64 #s(literal -81/8 binary64) (*.f64 x x))) x)) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* -1/9 (pow x 2)) |
(*.f64 #s(literal -1/9 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 51 181 to 3 803 computations (92.6% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 758 | 5 | 1 763 |
| Fresh | 6 | 1 | 7 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 767 | 12 | 1 779 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.7% | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | 63.8% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | 62.4% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ▶ | 67.3% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
| 63.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 5.1% | (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
| ✓ | 5.1% | (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
| ▶ | 5.5% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | 4.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ▶ | 5.5% | (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| ▶ | 5.5% | (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | 100.0% | (log1p.f64 x) |
Compiled 144 to 92 computations (36.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 192 | (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
| ✓ | cost-diff | 512 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
| 156× | lower-*.f32 |
| 140× | lower-*.f64 |
| 102× | lower-/.f32 |
| 98× | lower-/.f64 |
| 68× | lower-fma.f32 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 90 |
| 0 | 33 | 82 |
| 1 | 56 | 82 |
| 2 | 68 | 80 |
| 3 | 80 | 80 |
| 4 | 133 | 80 |
| 5 | 134 | 80 |
| 6 | 143 | 80 |
| 7 | 152 | 80 |
| 8 | 171 | 80 |
| 9 | 201 | 79 |
| 10 | 242 | 79 |
| 11 | 256 | 79 |
| 12 | 265 | 79 |
| 13 | 266 | 79 |
| 0 | 266 | 79 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
x |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
x |
(*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
x |
#s(literal 1/2 binary64) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
#s(literal 1/3 binary64) |
(*.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
x |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 x x) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
x |
(*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
x |
#s(literal 1/3 binary64) |
#s(literal -1/2 binary64) |
(*.f64 x x) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
| ✓ | accuracy | 99.5% | (*.f64 #s(literal 1/3 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.9% | (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
| 36.0ms | 256× | 0 | valid |
Compiled 97 to 22 computations (77.3% saved)
ival-mult: 14.0ms (58.2% of total)ival-div: 3.0ms (12.5% of total)const: 3.0ms (12.5% of total)ival-add: 2.0ms (8.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))> |
#<alt (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)> |
#<alt (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))> |
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x)))> |
#<alt (*.f64 x (*.f64 x x))> |
#<alt (*.f64 x x)> |
#<alt (*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))> |
#<alt (*.f64 #s(literal 1/3 binary64) (*.f64 x x))> |
#<alt (*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x)))> |
#<alt (*.f64 x (*.f64 #s(literal 1/3 binary64) x))> |
#<alt (*.f64 #s(literal 1/3 binary64) x)> |
#<alt (*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x))> |
#<alt (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/4 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))))> |
#<alt 2> |
#<alt (- 2 (* 4 (/ 1 x)))> |
#<alt (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x)))> |
#<alt (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3)))))> |
#<alt 2> |
#<alt (- 2 (* 4 (/ 1 x)))> |
#<alt (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x)))> |
#<alt (+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x)))> |
#<alt (/ 1 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1/2> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt (+ 1/2 (/ 1 x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<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 (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 (pow x 2))> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* 1/3 x)> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt -1/2> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (- (* 1/3 x) 1/2)> |
#<alt (* 1/3 x)> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* x (- 1/3 (* 1/2 (/ 1 x))))> |
#<alt (* 1/3 x)> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
#<alt (* -1 (* x (- (* 1/2 (/ 1 x)) 1/3)))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (/ 1 (/ (+ (* x 1/2) 1) x)) |
| 0.0ms | x | @ | -inf | (/ (+ (* x 1/2) 1) x) |
| 0.0ms | x | @ | inf | (/ (+ (* x 1/2) 1) x) |
| 0.0ms | x | @ | inf | (/ 1 (/ (+ (* x 1/2) 1) x)) |
| 0.0ms | x | @ | 0 | (/ (+ (* x 1/2) 1) x) |
| 1× | batch-egg-rewrite |
| 4 598× | lower-*.f32 |
| 4 582× | lower-*.f64 |
| 4 470× | lower-fma.f32 |
| 4 466× | lower-fma.f64 |
| 2 962× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 72 |
| 0 | 33 | 64 |
| 1 | 101 | 62 |
| 2 | 469 | 62 |
| 3 | 3903 | 62 |
| 0 | 8588 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 x x)) |
(*.f64 x x) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal 1/4 binary64)))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))) (*.f64 x (*.f64 x #s(literal 1/4 binary64))))) |
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) (/.f64 x (fma.f64 (*.f64 x x) (*.f64 x #s(literal 1/8 binary64)) #s(literal 1 binary64))))) |
(+.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
(exp.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))) |
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64) (log.f64 x))) |
(exp.f64 (fma.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64) (*.f64 (log.f64 (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) #s(literal -1/2 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log1p.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64))) (/.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal -1 binary64)))) |
(fma.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))))) |
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(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64))) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/729 binary64)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (*.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)))))) (fma.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (-.f64 (fma.f64 x #s(literal 1/6 binary64) #s(literal 1/4 binary64)) (*.f64 (*.f64 x x) #s(literal 1/9 binary64))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64)))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal -1/8 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/6 binary64)) #s(literal 1/4 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/6 binary64))))) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (*.f64 x #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x (*.f64 (*.f64 x x) #s(literal 1/27 binary64)) #s(literal 1/8 binary64))) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (fma.f64 x #s(literal -1/6 binary64) #s(literal 1/4 binary64)))) |
| 1× | egg-herbie |
| 8 496× | lower-fma.f64 |
| 8 496× | lower-fma.f32 |
| 2 722× | lower-*.f64 |
| 2 722× | lower-*.f32 |
| 1 750× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 778 |
| 1 | 211 | 778 |
| 2 | 465 | 770 |
| 3 | 1289 | 748 |
| 4 | 2792 | 748 |
| 5 | 4738 | 748 |
| 6 | 6524 | 748 |
| 0 | 8059 | 715 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/4 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))) |
2 |
(- 2 (* 4 (/ 1 x))) |
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) |
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) |
2 |
(- 2 (* 4 (/ 1 x))) |
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) |
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x))) |
(/ 1 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* 1/2 x)) x) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1/2 |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
(+ 1/2 (/ 1 x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(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) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 3)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 (pow x 2)) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* 1/3 x) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* 1/3 (pow x 3)) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
-1/2 |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(- (* 1/3 x) 1/2) |
(* 1/3 x) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(* 1/3 x) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(* x (+ 1 (* x (- (* 1/4 x) 1/2)))) |
(fma.f64 x (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal -1/2 binary64))) x) |
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))) |
(fma.f64 x (*.f64 x (fma.f64 x (fma.f64 x #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) x) |
2 |
#s(literal 2 binary64) |
(- 2 (* 4 (/ 1 x))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) |
(- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) |
2 |
#s(literal 2 binary64) |
(- 2 (* 4 (/ 1 x))) |
(+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) x)) |
(+ 2 (* -1 (/ (- 4 (* 8 (/ 1 x))) x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(+ 2 (* -1 (/ (+ 4 (* -1 (/ (- 8 (* 16 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 16 binary64) x) #s(literal -8 binary64)) x)) x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ (+ 1 (* 1/2 x)) x) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1/2 (/ 1 x)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* 1/2 x)) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.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) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* 1/3 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/3 binary64))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(- (* 1/3 x) 1/2) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) |
Compiled 13 813 to 1 968 computations (85.8% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 794 | 11 | 805 |
| Fresh | 1 | 0 | 1 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 5 | 6 |
| Total | 801 | 16 | 817 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.7% | (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | 63.8% | (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| ✓ | 62.4% | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| 65.5% | (/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) | |
| 64.9% | (/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)) | |
| 67.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) x)) | |
| 64.9% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))) | |
| 64.8% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) | |
| 65.4% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) | |
| 67.3% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) | |
| 36.0% | (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) | |
| ✓ | 4.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | 100.0% | (log1p.f64 x) |
| 7.9% | #s(literal 2 binary64) |
Compiled 663 to 248 computations (62.6% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)) |
(/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) x)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (*.f64 x x) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x) |
(log1p.f64 x) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(log1p.f64 x) |
3 calls:
| 10.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 9.0ms | x |
| 8.0ms | (+.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 100.0% | 1 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal -1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64))) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x)) |
(/.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 x x))))) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)))) x)) |
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64))) (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64)))) (*.f64 x x) x) |
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal -1/8 binary64)))) (*.f64 x x) x) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 1/81 binary64) #s(literal -1/16 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (fma.f64 x #s(literal 1/3 binary64) #s(literal 1/2 binary64)))) (*.f64 x x) x) |
(*.f64 (*.f64 (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) x))) |
(fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1/729 binary64) #s(literal -1/64 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64) #s(literal 1/8 binary64)) (+.f64 (fma.f64 (*.f64 x x) #s(literal 1/9 binary64) #s(literal 1/4 binary64)) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x x) x) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
3 calls:
| 31.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 9.0ms | x |
| 7.0ms | (+.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 1 | x |
| 67.3% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 67.3% | 1 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
| Outputs |
|---|
(fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) |
#s(literal 2 binary64) |
3 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 #s(literal 1 binary64) x) |
| 3.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.9% | 2 | x |
| 67.9% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 67.9% | 2 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) |
#s(literal 2 binary64) |
3 calls:
| 29.0ms | (+.f64 #s(literal 1 binary64) x) |
| 4.0ms | x |
| 3.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | x |
| 67.7% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 67.7% | 2 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 x (*.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x x) x) |
| Outputs |
|---|
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
#s(literal 2 binary64) |
3 calls:
| 4.0ms | x |
| 3.0ms | (+.f64 #s(literal 1 binary64) x) |
| 3.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 2 | x |
| 67.4% | 2 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 67.4% | 2 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
#s(literal 2 binary64) |
3 calls:
| 1.0ms | x |
| 1.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 1.0ms | (+.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 9.8% | 2 | x |
| 7.9% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 7.9% | 1 | (+.f64 #s(literal 1 binary64) x) |
Compiled 11 to 8 computations (27.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 2 binary64) |
3 calls:
| 1.0ms | x |
| 1.0ms | (+.f64 #s(literal 1 binary64) x) |
| 1.0ms | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.9% | 1 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 7.9% | 1 | (+.f64 #s(literal 1 binary64) x) |
| 7.9% | 1 | x |
Compiled 11 to 8 computations (27.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000028923497182 | 315644.8675863671 |
Compiled 8 to 8 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000028923497182 | 315644.8675863671 |
Compiled 8 to 8 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000028923497182 | 315644.8675863671 |
Compiled 8 to 8 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 3.3529394102445928e-155 | 2.020243468242695e-153 |
| 3.0ms | 112× | 0 | valid |
Compiled 78 to 62 computations (20.5% saved)
ival-log1p: 1.0ms (125% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 69 |
| 1 | 34 | 69 |
| 1× | saturated |
| Inputs |
|---|
(log1p.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(log1p.f64 x) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal 1/2 binary64) #s(literal 1 binary64)) x)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 x (fma.f64 x #s(literal -1/4 binary64) #s(literal 1/3 binary64)) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) (*.f64 x x) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) |
(if (<=.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 8151758837614529/60383398797144661635864873295812302254670739526663046854019300803929986598274381633378027602842540280663494000492221518396329354078796682120982948022923136698390325231616 binary64)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| 17 822× | lower-fma.f64 |
| 17 822× | lower-fma.f32 |
| 9 064× | lower-fma.f64 |
| 9 064× | lower-fma.f32 |
| 8 496× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 0 | 6 | 7 |
| 1 | 22 | 7 |
| 2 | 131 | 7 |
| 3 | 984 | 7 |
| 0 | 8620 | 5 |
| 0 | 73 | 778 |
| 1 | 211 | 778 |
| 2 | 465 | 770 |
| 3 | 1289 | 748 |
| 4 | 2792 | 748 |
| 5 | 4738 | 748 |
| 6 | 6524 | 748 |
| 0 | 8059 | 715 |
| 0 | 108 | 713 |
| 1 | 297 | 698 |
| 2 | 773 | 686 |
| 3 | 2466 | 676 |
| 4 | 6230 | 672 |
| 0 | 8098 | 603 |
| 0 | 180 | 1534 |
| 1 | 461 | 1528 |
| 2 | 1140 | 1519 |
| 3 | 3347 | 1512 |
| 4 | 7496 | 1512 |
| 0 | 8196 | 1353 |
| 0 | 13 | 50 |
| 0 | 30 | 50 |
| 1 | 138 | 50 |
| 2 | 1031 | 50 |
| 0 | 8336 | 50 |
| 0 | 62 | 169 |
| 1 | 171 | 155 |
| 2 | 363 | 150 |
| 3 | 980 | 148 |
| 4 | 2419 | 144 |
| 5 | 4413 | 144 |
| 6 | 5329 | 144 |
| 7 | 6636 | 144 |
| 8 | 7416 | 144 |
| 9 | 7564 | 144 |
| 10 | 7608 | 144 |
| 11 | 7610 | 144 |
| 12 | 7610 | 144 |
| 13 | 7853 | 144 |
| 14 | 7970 | 144 |
| 15 | 7978 | 144 |
| 16 | 7986 | 144 |
| 17 | 7986 | 144 |
| 0 | 8425 | 138 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 324 to 192 computations (40.7% saved)
Compiled 190 to 82 computations (56.8% saved)
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