
Time bar (total: 10.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 1 |
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 2 |
| 33.3% | 25% | 50% | 0% | 0% | 25% | 0% | 3 |
| 66.7% | 50% | 25% | 0% | 0% | 25% | 0% | 4 |
| 83.3% | 62.5% | 12.5% | 0% | 0% | 25% | 0% | 5 |
| 91.7% | 68.7% | 6.2% | 0% | 0% | 25% | 0% | 6 |
| 95.8% | 71.8% | 3.1% | 0% | 0% | 25% | 0% | 7 |
| 97.9% | 73.4% | 1.6% | 0% | 0% | 25% | 0% | 8 |
| 99% | 74.2% | 0.8% | 0% | 0% | 25% | 0% | 9 |
| 99.5% | 74.6% | 0.4% | 0% | 0% | 25% | 0% | 10 |
| 99.7% | 74.8% | 0.2% | 0% | 0% | 25% | 0% | 11 |
| 99.9% | 74.9% | 0.1% | 0% | 0% | 25% | 0% | 12 |
Compiled 6 to 5 computations (16.7% saved)
ival-add: 0.0ms (0% of total)ival-log: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 743.0ms | 4099× | 1 | valid |
| 399.0ms | 1309× | 2 | valid |
| 264.0ms | 2848× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
ival-log: 713.0ms (75.5% of total)ival-add: 133.0ms (14.1% of total)backward-pass: 81.0ms (8.6% of total)const: 17.0ms (1.8% of total)| 2× | egg-herbie |
| 52× | sum3-define |
| 20× | sub-neg |
| 16× | fma-define |
| 16× | fmsub-define |
| 14× | +-commutative |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 20 | 9 |
| 2 | 28 | 9 |
| 3 | 38 | 9 |
| 4 | 57 | 9 |
| 5 | 77 | 9 |
| 6 | 98 | 9 |
| 7 | 118 | 9 |
| 8 | 120 | 9 |
| 0 | 4 | 2 |
| 1 | 8 | 2 |
| 0 | 8 | 2 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(log (+ 1 x)) |
| Outputs |
|---|
(log (+ 1 x)) |
(log1p.f64 x) |
| Inputs |
|---|
(log (+ 1 x)) |
(log (+ 1 (neg x))) |
(neg (log (+ 1 (neg x)))) |
| Outputs |
|---|
(log (+ 1 x)) |
(log1p x) |
(log (+ 1 (neg x))) |
(log1p (neg x)) |
(neg (log (+ 1 (neg x)))) |
(neg (log1p (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 177 | 1 | (-0.004861767903326257) | 0 | - | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 1 binary64) x) |
| 58.0ms | 262× | 1 | valid |
| 28.0ms | 88× | 2 | valid |
| 8.0ms | 162× | 0 | valid |
Compiled 27 to 14 computations (48.1% saved)
ival-log: 53.0ms (79.7% of total)ival-add: 7.0ms (10.5% of total)backward-pass: 6.0ms (9% of total)const: 1.0ms (1.5% of total)Compiled 3 to 2 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (log1p.f64 x) |
| ▶ | 35.3% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | log1p-lowering-log1p.f32 |
| 2× | log-lowering-log.f64 |
| 2× | log1p-lowering-log1p.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 10 |
| 1 | 8 | 10 |
| 0 | 8 | 10 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(log (+ 1 x)) |
(+ 1 x) |
1 |
x |
(log (+ 1 x)) |
x |
| Outputs |
|---|
(log (+ 1 x)) |
(log1p.f64 x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.7% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| 87.0ms | 175× | 5 | exit |
| 6.0ms | 81× | 0 | valid |
Compiled 14 to 6 computations (57.1% saved)
ival-log: 41.0ms (64.4% of total)backward-pass: 10.0ms (15.7% of total)ival-add: 6.0ms (9.4% of total)compiled-spec: 6.0ms (9.4% of total)const: 1.0ms (1.6% of total)| Inputs |
|---|
#<alt (log (+ 1 x))> |
#<alt (+ 1 x)> |
#<alt (log (+ 1 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)))> |
#<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))))> |
9 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 |
| 3862× | /-lowering-/.f32 |
| 3862× | /-lowering-/.f64 |
| 3086× | *-lowering-*.f32 |
| 3086× | *-lowering-*.f64 |
| 1778× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 7 |
| 1 | 21 | 7 |
| 2 | 141 | 7 |
| 3 | 1093 | 7 |
| 0 | 8377 | 7 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(log (+ 1 x)) |
(+ 1 x) |
(log (+ 1 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))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(+.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(+.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (log1p.f64 (*.f64 x (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 x)) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) (log1p.f64 (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (-.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))))) |
(+.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(+.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (log1p.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(-.f64 (log1p.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.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 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (log.f64 (neg.f64 (+.f64 x #s(literal -1 binary64))))) |
(-.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 (*.f64 x (*.f64 x x)) (*.f64 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) (-.f64 #s(literal 1 binary64) x))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x 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 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (log1p.f64 (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (log1p.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.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 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
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(-.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 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (/.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.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 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (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 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))) (neg.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (-.f64 #s(literal 0 binary64) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) (*.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (log.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) (+.f64 (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)))) (*.f64 (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (*.f64 (log.f64 (+.f64 x #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64)))) (*.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (+.f64 x #s(literal -1 binary64))))))) |
(log1p.f64 x) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #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 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (-.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 (*.f64 x (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (pow.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))))) |
| 1× | egg-herbie |
| 1994× | fma-lowering-fma.f32 |
| 1994× | fma-lowering-fma.f64 |
| 1970× | fmsub-define |
| 1908× | sum3-define |
| 1776× | fmm-def |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 296 |
| 1 | 188 | 252 |
| 2 | 458 | 240 |
| 3 | 1230 | 236 |
| 4 | 3932 | 236 |
| 0 | 8232 | 236 |
| 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))) |
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)))) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* -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 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.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)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* -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 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(-.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
Compiled 10185 to 919 computations (91% saved)
6 alts after pruning (4 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 343 | 4 | 347 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 0 | 0 |
| Total | 343 | 6 | 349 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.1% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
| ▶ | 71.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
| ▶ | 69.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | 100.0% | (log1p.f64 x) |
| ✓ | 35.3% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| ▶ | 70.7% | x |
Compiled 46 to 34 computations (26.1% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| 1430× | fma-define |
| 1068× | fma-lowering-fma.f32 |
| 1068× | fma-lowering-fma.f64 |
| 336× | *-lowering-*.f32 |
| 336× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 126 |
| 1 | 66 | 106 |
| 2 | 184 | 103 |
| 3 | 457 | 103 |
| 4 | 967 | 103 |
| 5 | 1391 | 103 |
| 6 | 1552 | 103 |
| 7 | 1554 | 103 |
| 0 | 1554 | 103 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (+ 1 (* x -1/2))) |
x |
(+ 1 (* x -1/2)) |
1 |
(* x -1/2) |
-1/2 |
(* x (+ 1 (* x (+ -1/2 (* x 1/3))))) |
x |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
1 |
(* x (+ -1/2 (* x 1/3))) |
(+ -1/2 (* x 1/3)) |
-1/2 |
(* x 1/3) |
1/3 |
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) |
x |
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
1 |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
-1/2 |
(* x (+ 1/3 (* x -1/4))) |
(+ 1/3 (* x -1/4)) |
1/3 |
(* x -1/4) |
-1/4 |
| Outputs |
|---|
x |
(* x (+ 1 (* x -1/2))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
x |
(+ 1 (* x -1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ 1 (* x (+ -1/2 (* x 1/3))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
x |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ -1/2 (* x 1/3))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(+ -1/2 (* x 1/3)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
x |
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ 1/3 (* x -1/4))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1/3 (* x -1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| 190.0ms | 256× | 0 | valid |
Compiled 128 to 21 computations (83.6% saved)
ival-mult: 34.0ms (73.8% of total)ival-add: 7.0ms (15.2% of total)...c/correct-round.rkt:119:19: 4.0ms (8.7% of total)const: 1.0ms (2.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (+ 1 (* x -1/2)))> |
#<alt (+ 1 (* x -1/2))> |
#<alt (* x -1/2)> |
#<alt (* x (+ 1 (* x (+ -1/2 (* x 1/3)))))> |
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))> |
#<alt (* x (+ -1/2 (* x 1/3)))> |
#<alt (+ -1/2 (* x 1/3))> |
#<alt (* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))))> |
#<alt (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))> |
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))> |
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))> |
#<alt (* x 1/3)> |
#<alt (* x (+ 1/3 (* x -1/4)))> |
#<alt (+ 1/3 (* x -1/4))> |
| Outputs |
|---|
#<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> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (/ 1 x) 1/2))> |
#<alt (* x (- (/ 1 x) 1/2))> |
#<alt (* x (- (/ 1 x) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1 (* x (- 1/2 (/ 1 x))))> |
#<alt (* -1 (* x (- 1/2 (/ 1 x))))> |
#<alt (* -1 (* x (- 1/2 (/ 1 x))))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt 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> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* 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 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 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 (/ (- 1/2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))> |
#<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 (- (* 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> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))> |
#<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 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 (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 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)))))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x 1/3) |
| 1.0ms | x | @ | 0 | (* x (+ 1 (* x (+ -1/2 (* x 1/3))))) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x -1/2))) |
| 0.0ms | x | @ | 0 | (* x (+ 1 (* x -1/2))) |
| 0.0ms | x | @ | -inf | (* x (+ 1 (* x -1/2))) |
| 1× | batch-egg-rewrite |
| 3810× | *-lowering-*.f32 |
| 3810× | *-lowering-*.f64 |
| 3484× | /-lowering-/.f32 |
| 3484× | /-lowering-/.f64 |
| 1980× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 110 |
| 1 | 137 | 90 |
| 2 | 1288 | 87 |
| 0 | 8126 | 87 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 1 (* x -1/2))) |
(+ 1 (* x -1/2)) |
(* x -1/2) |
(* x (+ 1 (* x (+ -1/2 (* x 1/3))))) |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
(* x (+ -1/2 (* x 1/3))) |
(+ -1/2 (* x 1/3)) |
(* x (+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))) |
(+ 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
(* x 1/3) |
(* x (+ 1/3 (* x -1/4))) |
(+ 1/3 (* x -1/4)) |
| Outputs |
|---|
(+.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) |
(fma.f64 x #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) x) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) x x) |
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) (neg.f64 (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) |
(*.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))) |
(*.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
(fma.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))) |
(*.f64 x #s(literal -1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) x) |
(*.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(+.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x) |
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(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (neg.f64 (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) x) |
(*.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 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 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (neg.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 (*.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 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64)))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/729 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (*.f64 #s(literal -1/1728 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/81 binary64) (+.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -1/12 binary64) x))))) |
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 #s(literal 1/16 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 x x)) #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))) |
| 1× | egg-herbie |
| 2658× | *-lowering-*.f32 |
| 2658× | *-lowering-*.f64 |
| 1632× | +-lowering-+.f64 |
| 1632× | +-lowering-+.f32 |
| 1110× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 107 | 1108 |
| 1 | 322 | 992 |
| 2 | 1068 | 913 |
| 3 | 3973 | 879 |
| 0 | 8307 | 879 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 |
(+ 1 (* -1/2 x)) |
(+ 1 (* -1/2 x)) |
(+ 1 (* -1/2 x)) |
(* -1/2 x) |
(* x (- (/ 1 x) 1/2)) |
(* x (- (/ 1 x) 1/2)) |
(* x (- (/ 1 x) 1/2)) |
(* -1/2 x) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
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 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+ 1 (* 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 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(* -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 (- (* 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 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))) |
(* -1/2 x) |
(* x (- (* 1/3 x) 1/2)) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
-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 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) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 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))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* -1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (/ 1 x) 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* x (- (/ 1 x) 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* x (- (/ 1 x) 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(* -1 (* x (- 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.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 x) |
(*.f64 x #s(literal -1/2 binary64)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 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) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 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 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* x (- 1/3 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* -1 (* x (- (* 1/2 (/ 1 x)) 1/3))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))))) |
(* -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 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 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)) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/4 x)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(-.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 1/4 binary64))) |
Compiled 19647 to 2186 computations (88.9% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 669 | 9 | 678 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 1 | 4 |
| Done | 0 | 2 | 2 |
| Total | 672 | 12 | 684 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 71.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
| 69.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) | |
| ▶ | 69.9% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))) |
| 34.5% | (-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))) | |
| 70.2% | (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) | |
| ▶ | 71.0% | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x) |
| ▶ | 69.9% | (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
| ▶ | 70.1% | (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))) |
| 70.0% | (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) | |
| ✓ | 100.0% | (log1p.f64 x) |
| ✓ | 35.3% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 70.7% | x |
Compiled 470 to 217 computations (53.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 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 | (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x) |
| 3950× | *-lowering-*.f32 |
| 3950× | *-lowering-*.f64 |
| 2286× | fma-lowering-fma.f32 |
| 2286× | fma-lowering-fma.f64 |
| 2132× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 380 |
| 1 | 112 | 290 |
| 2 | 367 | 280 |
| 3 | 1492 | 275 |
| 4 | 7897 | 275 |
| 0 | 8604 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (+ -1/2 (* x 1/3)))) x) |
(* x (* x (+ -1/2 (* x 1/3)))) |
x |
(* x (+ -1/2 (* x 1/3))) |
(+ -1/2 (* x 1/3)) |
-1/2 |
(* x 1/3) |
1/3 |
(+ (* x (* x -1/2)) x) |
(* x (* x -1/2)) |
x |
(* x -1/2) |
-1/2 |
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))) |
x |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))) |
1 |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
(* x (+ -1/2 (* x 1/3))) |
(+ -1/2 (* x 1/3)) |
-1/2 |
(* x 1/3) |
1/3 |
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))) |
x |
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)) |
(* x -1/2) |
-1/2 |
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1) |
(* (+ 1/3 (* x -1/4)) (* x x)) |
(+ 1/3 (* x -1/4)) |
1/3 |
(* x -1/4) |
-1/4 |
(* x x) |
1 |
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
1 |
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)) |
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
x |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
-1/2 |
(* x (+ 1/3 (* x -1/4))) |
(+ 1/3 (* x -1/4)) |
1/3 |
(* x -1/4) |
-1/4 |
(* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x) |
(- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
(* x x) |
| Outputs |
|---|
(+ (* x (* x (+ -1/2 (* x 1/3)))) x) |
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
(* x (* x (+ -1/2 (* x 1/3)))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) |
x |
(* x (+ -1/2 (* x 1/3))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(+ -1/2 (* x 1/3)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ (* x (* x -1/2)) x) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* x (* x -1/2)) |
(*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))) |
(*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
x |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
(+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)) |
(* x (+ -1/2 (* x 1/3))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(+ -1/2 (* x 1/3)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
x |
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* (+ 1/3 (* x -1/4)) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(+ 1/3 (* x -1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(* x x) |
(*.f64 x x) |
1 |
#s(literal 1 binary64) |
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
1 |
#s(literal 1 binary64) |
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) |
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
x |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ 1/3 (* x -1/4))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(+ 1/3 (* x -1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) |
(- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))) |
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* x x) |
(*.f64 x x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | accuracy | 78.6% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/3 binary64)) |
| 99.0ms | 256× | 0 | valid |
Compiled 408 to 34 computations (91.7% saved)
ival-mult: 25.0ms (45.2% of total)ival-add: 16.0ms (29% of total)ival-div: 7.0ms (12.7% of total)...c/correct-round.rkt:119:19: 4.0ms (7.2% of total)ival-sub: 3.0ms (5.4% of total)const: 1.0ms (1.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* x (* x (+ -1/2 (* x 1/3)))) x)> |
#<alt (* x (* x (+ -1/2 (* x 1/3))))> |
#<alt (* x (+ -1/2 (* x 1/3)))> |
#<alt (+ -1/2 (* x 1/3))> |
#<alt (+ (* x (* x -1/2)) x)> |
#<alt (* x (* x -1/2))> |
#<alt (* x -1/2)> |
#<alt (/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))))> |
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))> |
#<alt (+ 1 (* x (+ -1/2 (* x 1/3))))> |
#<alt (* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)))> |
#<alt (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))> |
#<alt (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)> |
#<alt (/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)))> |
#<alt (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))> |
#<alt (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))))> |
#<alt (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))> |
#<alt (* x 1/3)> |
#<alt (* (+ 1/3 (* x -1/4)) (* x x))> |
#<alt (+ 1/3 (* x -1/4))> |
#<alt (* x (+ 1/3 (* x -1/4)))> |
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))> |
| Outputs |
|---|
#<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 (* (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 (* -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 (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 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> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12)))))> |
#<alt (/ 3 (pow x 2))> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))> |
#<alt (/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2))> |
#<alt (/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2))> |
#<alt (/ 3 (pow x 2))> |
#<alt (/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2))> |
#<alt (/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* 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 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 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 (/ (- 1/2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))))> |
#<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> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/3 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/3 (pow x 2)))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))> |
#<alt (+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))> |
#<alt (* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x)))))> |
#<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 x)> |
#<alt (/ (+ 1 (* 1/2 x)) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x)> |
#<alt (/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x)> |
#<alt (/ -4 (pow x 4))> |
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4))> |
#<alt (/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4))> |
#<alt (/ -4 (pow x 4))> |
#<alt (* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4)))> |
#<alt (/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4))> |
#<alt (/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/3 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 1/3)))))> |
#<alt (* 1/4 (pow x 3))> |
#<alt (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/4 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x))))> |
#<alt (* (pow x 3) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x))))> |
#<alt (* 1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4)))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2)))))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) 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 (* 1/3 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))> |
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))> |
#<alt (* (pow x 2) (+ 1/3 (* -1/4 x)))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* -1/4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))))> |
#<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)))))> |
#<alt (* 1/3 x)> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* (pow x 2) (- (* 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)) (+ 1/4 (/ 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 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))> |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
| 0.0ms | x | @ | -inf | (/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
| 0.0ms | x | @ | 0 | (/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
| 0.0ms | x | @ | inf | (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)) |
| 0.0ms | x | @ | inf | (+ (* x (* x (+ -1/2 (* x 1/3)))) x) |
| 1× | batch-egg-rewrite |
| 3152× | /-lowering-/.f32 |
| 3152× | /-lowering-/.f64 |
| 3046× | *-lowering-*.f32 |
| 3046× | *-lowering-*.f64 |
| 2176× | fma-lowering-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 220 |
| 1 | 254 | 165 |
| 2 | 2395 | 161 |
| 0 | 8490 | 161 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* x (* x (+ -1/2 (* x 1/3)))) x) |
(* x (* x (+ -1/2 (* x 1/3)))) |
(* x (+ -1/2 (* x 1/3))) |
(+ -1/2 (* x 1/3)) |
(+ (* x (* x -1/2)) x) |
(* x (* x -1/2)) |
(* x -1/2) |
(/ x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/3)))))) |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/3))))) |
(+ 1 (* x (+ -1/2 (* x 1/3)))) |
(* x (+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1))) |
(+ (* x -1/2) (+ (* (+ 1/3 (* x -1/4)) (* x x)) 1)) |
(+ (* (+ 1/3 (* x -1/4)) (* x x)) 1) |
(/ 1 (/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x))) |
(/ (- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) (* (- 1 (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)))) x)) |
(- 1 (* x (+ -1/2 (* x (+ 1/3 (* x -1/4)))))) |
(* x (+ -1/2 (* x (+ 1/3 (* x -1/4))))) |
(* x 1/3) |
(* (+ 1/3 (* x -1/4)) (* x x)) |
(+ 1/3 (* x -1/4)) |
(* x (+ 1/3 (* x -1/4))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
| Outputs |
|---|
(+.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))) |
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x) |
(fma.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x) x) |
(fma.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x x) |
(fma.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) x) |
(fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 #s(literal 1 binary64) x)) |
(neg.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x) (*.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x) (*.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x))))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)))))) (neg.f64 (+.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64))) (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x))) (neg.f64 (-.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) x))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) (*.f64 x x)))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)))) |
(/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/27 binary64)))))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (-.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 x x))) (neg.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) |
(*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) x) |
| 1× | egg-herbie |
| 4304× | *-lowering-*.f32 |
| 4304× | *-lowering-*.f64 |
| 2118× | fma-lowering-fma.f32 |
| 2118× | fma-lowering-fma.f64 |
| 1826× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 2152 |
| 1 | 689 | 1936 |
| 2 | 2116 | 1909 |
| 3 | 7017 | 1905 |
| 0 | 8347 | 1905 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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)) |
(* (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 (* -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 (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) |
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 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/12 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* -5/24 x) 1/12))))) |
(/ 3 (pow x 2)) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2)) |
(/ (- (+ 3 (* 9/2 (/ 1 x))) (/ 9/4 (pow x 2))) (pow x 2)) |
(/ (+ 3 (+ (* -1 (/ (+ 9/4 (* 135/8 (/ 1 x))) (pow x 2))) (* 9/2 (/ 1 x)))) (pow x 2)) |
(/ 3 (pow x 2)) |
(/ (+ 3 (* 9/2 (/ 1 x))) (pow x 2)) |
(/ (+ 3 (* -1 (/ (- (* 9/4 (/ 1 x)) 9/2) x))) (pow x 2)) |
(/ (+ 3 (* -1 (/ (- (+ (* 9/4 (/ 1 x)) (/ 135/8 (pow x 2))) 9/2) x))) (pow x 2)) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+ 1 (* 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 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
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 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/3 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2))) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (* -1 (/ (- 1/2 (/ 1 x)) x))) x))))) |
1 |
(+ 1 (* 1/3 (pow x 2))) |
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))) |
(+ 1 (* (pow x 2) (+ 1/3 (* -1/4 x)))) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4)) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 x)) (/ 1 (pow x 3))) 1/4)) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (+ 1/3 (/ 1 (pow x 2))) x))))) |
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 x) |
(/ (+ 1 (* 1/2 x)) x) |
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x) |
(/ -4 (pow x 4)) |
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4))) |
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4)) |
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4)) |
(/ -4 (pow x 4)) |
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4))) |
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4)) |
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/3 x)))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 1/3))))) |
(* 1/4 (pow x 3)) |
(* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/4 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x)))) |
(* (pow x 3) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))) |
(* 1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))) |
(* -1/2 x) |
(* x (- (* 1/3 x) 1/2)) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) 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) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(* -1/4 (pow x 3)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/4 (pow x 3)) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
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))))) |
(* 1/3 x) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (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 x) 1/2)) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* (pow x 2) (- (* 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)) (+ 1/4 (/ 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 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
| Outputs |
|---|
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* 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 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) 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 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (/ 1 x) 1/2) x)) 1/3))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x))) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x 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 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* (pow x 3) (- 1/3 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #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 (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/3))) |
(*.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x))))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
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(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x)))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 (* 1/2 x)) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
(/ (+ 1 (* x (+ 1/2 (* -1/12 x)))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))) x) |
(/ (+ 1 (* x (+ 1/2 (* x (- (* 1/24 x) 1/12))))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (/ 8/9 (pow x 2)) (+ 4 (* 16/3 (/ 1 x)))) (pow x 4)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal -8/9 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (/ 8/9 (pow x 2)) (+ 4 (+ (* 16/3 (/ 1 x)) (* 112/27 (/ 1 (pow x 3)))))) (pow x 4)) |
(/.f64 (+.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal -8/9 binary64) x)) x)) (/.f64 #s(literal -112/27 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ -4 (pow x 4)) |
(/.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* -1 (/ (+ 4 (* 16/3 (/ 1 x))) (pow x 4))) |
(/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -16/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (- 16/3 (* 8/9 (/ 1 x))) x)) 4) (pow x 4)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (+.f64 #s(literal 16/3 binary64) (/.f64 #s(literal -8/9 binary64) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
(/ (- (* -1 (/ (+ 16/3 (* -1 (/ (- 8/9 (* 112/27 (/ 1 x))) x))) x)) 4) (pow x 4)) |
(/.f64 (-.f64 #s(literal -4 binary64) (/.f64 (-.f64 #s(literal 16/3 binary64) (/.f64 (+.f64 #s(literal 8/9 binary64) (/.f64 #s(literal -112/27 binary64) x)) x)) x)) (*.f64 x (*.f64 x (*.f64 x x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/3 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (- (* 1/4 x) 1/3))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1/4 binary64))))))) |
(* 1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(* (pow x 3) (- 1/4 (* 1/3 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(* (pow x 3) (- (+ 1/4 (/ 1/2 (pow x 2))) (* 1/3 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 3) (- (+ 1/4 (+ (/ 1/2 (pow x 2)) (/ 1 (pow x 3)))) (* 1/3 (/ 1 x)))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)))) |
(* 1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) |
(* -1 (* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -1/3 binary64) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* -1 (* (pow x 3) (- (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/3) x)) 1/4))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1/3 binary64))) x))))) |
(* -1/2 x) |
(*.f64 x #s(literal -1/2 binary64)) |
(* x (- (* 1/3 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* -1 (* (pow x 3) (+ 1/4 (* -1 (/ (- 1/3 (* 1/2 (/ 1 x))) x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* 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)) |
(* 1/3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/3 binary64))) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* (pow x 2) (+ 1/3 (* -1/4 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 3) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1/4 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* (pow x 3) (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1/4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/4 binary64)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1/3 binary64) x))) |
(* -1/2 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (*.f64 x x)) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (*.f64 x (*.f64 x (*.f64 x x))) (+.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)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* -1/4 (pow x 4)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) |
(* (pow x 4) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (*.f64 x (*.f64 x (*.f64 x x))) (+.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 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
Compiled 57401 to 3995 computations (93% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1465 | 5 | 1470 |
| Fresh | 3 | 1 | 4 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1473 | 9 | 1482 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
| ▶ | 74.0% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| 71.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)) | |
| ▶ | 73.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
| ▶ | 70.6% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 70.2% | (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
| ✓ | 100.0% | (log1p.f64 x) |
| ✓ | 35.3% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 70.7% | x |
Compiled 150 to 107 computations (28.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| 3520× | *-lowering-*.f32 |
| 3520× | *-lowering-*.f64 |
| 1908× | +-lowering-+.f64 |
| 1908× | +-lowering-+.f32 |
| 1812× | fma-define |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 142 |
| 1 | 62 | 123 |
| 2 | 190 | 123 |
| 3 | 433 | 123 |
| 4 | 1116 | 123 |
| 5 | 1983 | 118 |
| 6 | 2606 | 118 |
| 7 | 3189 | 118 |
| 8 | 4059 | 118 |
| 9 | 4834 | 118 |
| 10 | 5953 | 118 |
| 11 | 6992 | 118 |
| 12 | 7830 | 118 |
| 0 | 8002 | 118 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (+ 1 (* x 1/2))) |
x |
(+ 1 (* x 1/2)) |
1 |
(* x 1/2) |
1/2 |
(/ 1 (/ 1 x)) |
1 |
(/ 1 x) |
x |
(/ 1 (/ (+ 1 (* x 1/2)) x)) |
1 |
(/ (+ 1 (* x 1/2)) x) |
(+ 1 (* x 1/2)) |
(* x 1/2) |
x |
1/2 |
(/ x (+ 1 (* x (+ 1/2 (* x -1/12))))) |
x |
(+ 1 (* x (+ 1/2 (* x -1/12)))) |
1 |
(* x (+ 1/2 (* x -1/12))) |
(+ 1/2 (* x -1/12)) |
1/2 |
(* x -1/12) |
-1/12 |
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
-1/2 |
(* x (+ 1/3 (* x -1/4))) |
x |
(+ 1/3 (* x -1/4)) |
1/3 |
(* x -1/4) |
-1/4 |
(* x x) |
| Outputs |
|---|
(/ x (+ 1 (* x 1/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
x |
(+ 1 (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 (/ 1 x)) |
x |
1 |
#s(literal 1 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(/ 1 (/ (+ 1 (* x 1/2)) x)) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(/ (+ 1 (* x 1/2)) x) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) |
(+ 1 (* x 1/2)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x 1/2) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
1/2 |
#s(literal 1/2 binary64) |
(/ x (+ 1 (* x (+ 1/2 (* x -1/12))))) |
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
x |
(+ 1 (* x (+ 1/2 (* x -1/12)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1/2 (* x -1/12))) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (* x -1/12)) |
(+.f64 (*.f64 x #s(literal -1/12 binary64)) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* x -1/12) |
(*.f64 x #s(literal -1/12 binary64)) |
-1/12 |
#s(literal -1/12 binary64) |
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ 1/3 (* x -1/4))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
x |
(+ 1/3 (* x -1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
1/3 |
#s(literal 1/3 binary64) |
(* x -1/4) |
(*.f64 x #s(literal -1/4 binary64)) |
-1/4 |
#s(literal -1/4 binary64) |
(* x x) |
(*.f64 x x) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) |
| ✓ | accuracy | 99.6% | (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal -1/12 binary64)) |
| ✓ | accuracy | 86.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| 76.0ms | 256× | 0 | valid |
Compiled 155 to 27 computations (82.6% saved)
ival-div: 14.0ms (31.7% of total)ival-mult: 13.0ms (29.4% of total)...c/correct-round.rkt:119:19: 9.0ms (20.4% of total)ival-add: 8.0ms (18.1% of total)const: 1.0ms (2.3% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ x (+ 1 (* x 1/2)))> |
#<alt (+ 1 (* x 1/2))> |
#<alt (* x 1/2)> |
#<alt (/ 1 (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ 1 (/ (+ 1 (* x 1/2)) x))> |
#<alt (/ (+ 1 (* x 1/2)) x)> |
#<alt (/ x (+ 1 (* x (+ 1/2 (* x -1/12)))))> |
#<alt (+ 1 (* x (+ 1/2 (* x -1/12))))> |
#<alt (* x (+ 1/2 (* x -1/12)))> |
#<alt (+ 1/2 (* x -1/12))> |
#<alt (+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x)> |
#<alt (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x))> |
#<alt (+ -1/2 (* x (+ 1/3 (* x -1/4))))> |
#<alt (* x (+ 1/3 (* x -1/4)))> |
#<alt (* x -1/12)> |
#<alt (+ 1/3 (* x -1/4))> |
| 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> |
#<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 (* 1/2 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> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt x> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* x (- (* 1/3 x) 1/2))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2))))> |
#<alt (/ -12 x)> |
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x)> |
#<alt (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x)> |
#<alt (/ -12 x)> |
#<alt (* -1 (/ (+ 12 (* 72 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* -1/12 x))))> |
#<alt (* -1/12 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))> |
#<alt (* -1/12 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* -1/12 x)))> |
#<alt (* x (+ 1/2 (* -1/12 x)))> |
#<alt (* x (+ 1/2 (* -1/12 x)))> |
#<alt (* -1/12 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* -1/12 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/12 x))> |
#<alt (+ 1/2 (* -1/12 x))> |
#<alt (+ 1/2 (* -1/12 x))> |
#<alt (* -1/12 x)> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* x (- (* 1/2 (/ 1 x)) 1/12))> |
#<alt (* -1/12 x)> |
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 1/12 (* 1/2 (/ 1 x)))))> |
#<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 (pow x 2))> |
#<alt (* (pow x 2) (- (* 1/3 x) 1/2))> |
#<alt (* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2))> |
#<alt (* (pow x 2) (- (* 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)) (+ 1/4 (/ 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 (/ (- (* 1/2 (/ 1 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 x)> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<alt (* x (+ 1/3 (* -1/4 x)))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<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))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4))> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<alt (* -1/12 x)> |
#<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)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ x (+ 1 (* x (+ 1/2 (* x -1/12))))) |
| 0.0ms | x | @ | -inf | (/ x (+ 1 (* x (+ 1/2 (* x -1/12))))) |
| 0.0ms | x | @ | -inf | (/ (+ 1 (* x 1/2)) x) |
| 0.0ms | x | @ | -inf | (/ 1 (/ 1 x)) |
| 0.0ms | x | @ | inf | (* x -1/12) |
| 1× | batch-egg-rewrite |
| 3360× | *-lowering-*.f32 |
| 3360× | *-lowering-*.f64 |
| 3256× | /-lowering-/.f32 |
| 3256× | /-lowering-/.f64 |
| 2134× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 113 |
| 1 | 171 | 95 |
| 2 | 1643 | 95 |
| 0 | 8534 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (+ 1 (* x 1/2))) |
(+ 1 (* x 1/2)) |
(* x 1/2) |
(/ 1 (/ 1 x)) |
(/ 1 x) |
(/ 1 (/ (+ 1 (* x 1/2)) x)) |
(/ (+ 1 (* x 1/2)) x) |
(/ x (+ 1 (* x (+ 1/2 (* x -1/12))))) |
(+ 1 (* x (+ 1/2 (* x -1/12)))) |
(* x (+ 1/2 (* x -1/12))) |
(+ 1/2 (* x -1/12)) |
(+ (* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) x) |
(* (+ -1/2 (* x (+ 1/3 (* x -1/4)))) (* x x)) |
(+ -1/2 (* x (+ 1/3 (* x -1/4)))) |
(* x (+ 1/3 (* x -1/4))) |
(* x -1/12) |
(+ 1/3 (* x -1/4)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal -1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))))) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) x)) (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/27 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x (*.f64 x #s(literal -1/4 binary64)))) (-.f64 (*.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/4 binary64))) (*.f64 x #s(literal 1/3 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(*.f64 x (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) x) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal 1 binary64)) x) |
(*.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/2 binary64)))) |
(/.f64 #s(literal -1/12 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1/12 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x #s(literal -1/12 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/12 binary64))) |
(*.f64 #s(literal -1/12 binary64) x) |
(*.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 x #s(literal 1/3 binary64)) #s(literal -1/4 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 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 (*.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 #s(literal 1 binary64) (*.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)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))) |
(/.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 binary64))))) |
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -1/12 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 #s(literal 1/4 binary64) x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/9 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) #s(literal 1/9 binary64))) (neg.f64 (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)))) (*.f64 (/.f64 #s(literal 1/9 binary64) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/16 binary64)) (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x))))))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal 1/3 binary64)))) (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 #s(literal 1/4 binary64) x)) (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/16 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 1/27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal -1/4 binary64)) (-.f64 (*.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 #s(literal 1/4 binary64) x)))) |
| 1× | egg-herbie |
| 2704× | +-lowering-+.f64 |
| 2704× | +-lowering-+.f32 |
| 2698× | *-lowering-*.f32 |
| 2698× | *-lowering-*.f64 |
| 1240× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 168 | 1257 |
| 1 | 512 | 1122 |
| 2 | 1264 | 1046 |
| 3 | 3577 | 1022 |
| 0 | 8190 | 1022 |
| 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 |
(+ 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))) |
(* 1/2 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 |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
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)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2)))) |
(/ -12 x) |
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x) |
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x) |
(/ -12 x) |
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x)) |
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x)) |
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* -1/12 x)))) |
(+ 1 (* x (+ 1/2 (* -1/12 x)))) |
(* -1/12 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(* -1/12 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(* 1/2 x) |
(* x (+ 1/2 (* -1/12 x))) |
(* x (+ 1/2 (* -1/12 x))) |
(* x (+ 1/2 (* -1/12 x))) |
(* -1/12 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* -1/12 (pow x 2)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
1/2 |
(+ 1/2 (* -1/12 x)) |
(+ 1/2 (* -1/12 x)) |
(+ 1/2 (* -1/12 x)) |
(* -1/12 x) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(* -1/12 x) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
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 (pow x 2)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(* (pow x 2) (- (* 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)) (+ 1/4 (/ 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 (/ (- (* 1/2 (/ 1 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 x) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* x (+ 1/3 (* -1/4 x))) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/4 (pow x 2)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
(* -1/12 x) |
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))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/4 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))) |
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 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) 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 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) 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 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(* x (+ 1/2 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) (*.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 x) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
x |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/4 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/4 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal -1/8 binary64)))))))) |
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 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) 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 (/.f64 #s(literal 8 binary64) x) #s(literal -4 binary64)) 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)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -5/24 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -5/24 binary64)))))))) |
(/ -12 x) |
(/.f64 #s(literal -12 binary64) x) |
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x) |
(/ (- (* -1 (/ (+ 72 (* 576 (/ 1 x))) x)) 12) x) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 576 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) (pow x 2))) (+ 12 (* 72 (/ 1 x)))) x) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x) |
(/ -12 x) |
(/.f64 #s(literal -12 binary64) x) |
(* -1 (/ (+ 12 (* 72 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 #s(literal -72 binary64) x)) x) |
(* -1 (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 576 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 #s(literal 576 binary64) x)) x)) x) |
(* -1 (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 576 (* 4320 (/ 1 x))) x)) 72) x))) x)) |
(/.f64 (+.f64 #s(literal -12 binary64) (/.f64 (-.f64 #s(literal -72 binary64) (/.f64 (+.f64 #s(literal 576 binary64) (/.f64 #s(literal 4320 binary64) x)) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* -1/12 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (+ 1/2 (* -1/12 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* -1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/12 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* -1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/12 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))) 1/12)) |
(+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* -1/12 x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/2 (* -1/12 x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (+ 1/2 (* -1/12 x))) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* -1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/12 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* -1/12 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -1/12 binary64)) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (* 1/2 (/ 1 x)) 1/12)) |
(*.f64 x (-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/12 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* -1/12 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(+ 1/2 (* -1/12 x)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* x (- (* 1/2 (/ 1 x)) 1/12)) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
(* -1 (* x (- 1/12 (* 1/2 (/ 1 x))))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(* -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 (pow x 2)) |
(*.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 1/3 x) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* (pow x 2) (- (* x (+ 1/3 (* -1/4 x))) 1/2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(* -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)) (+ 1/4 (/ 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))) |
(* -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 (/ (- (* 1/2 (/ 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))) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/3 x) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(- (* x (+ 1/3 (* -1/4 x))) 1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) (+ 1/4 (/ 1/2 (pow x 2))))) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* (pow x 2) (- (* -1 (/ (- (* 1/2 (/ 1 x)) 1/3) x)) 1/4)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(* 1/3 x) |
(*.f64 x #s(literal 1/3 binary64)) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* x (+ 1/3 (* -1/4 x))) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/4 binary64))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* (pow x 2) (- (* 1/3 (/ 1 x)) 1/4)) |
(*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
(* -1/12 x) |
(*.f64 x #s(literal -1/12 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(+ 1/3 (* -1/4 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* x (- (* 1/3 (/ 1 x)) 1/4)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* -1/4 x) |
(*.f64 x #s(literal -1/4 binary64)) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(* -1 (* x (- 1/4 (* 1/3 (/ 1 x))))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) |
Compiled 24505 to 3006 computations (87.7% saved)
18 alts after pruning (12 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1065 | 11 | 1076 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1067 | 18 | 1085 |
| Status | Accuracy | Program |
|---|---|---|
| 72.4% | (/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) | |
| 74.0% | (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) | |
| ✓ | 70.6% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
| ✓ | 74.0% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| 72.4% | (/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 71.1% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)) | |
| 73.8% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| 71.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))) | |
| 71.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) | |
| 73.8% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) | |
| ✓ | 70.2% | (+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
| 70.6% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x) | |
| 73.9% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x) | |
| 71.1% | (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) | |
| ✓ | 100.0% | (log1p.f64 x) |
| ✓ | 35.3% | (log.f64 (+.f64 #s(literal 1 binary64) x)) |
| ✓ | 70.7% | x |
| 7.1% | #s(literal 2 binary64) |
Compiled 692 to 271 computations (60.8% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
(/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))) |
(log1p.f64 x) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
(log1p.f64 x) |
3 calls:
| 16.0ms | x |
| 7.0ms | (+.f64 #s(literal 1 binary64) x) |
| 7.0ms | (log.f64 (+.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) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/12 binary64)))))) x) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))) |
(+.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) x) |
(/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))) |
(*.f64 x (+.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))) (*.f64 x x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal -1/12 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x)) |
(/.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/4 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))))) |
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64)))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)))) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x)) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))) (-.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -1/4 binary64))))) (*.f64 x x))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
1 calls:
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) |
#s(literal 2 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
#s(literal 2 binary64) |
1 calls:
| 11.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.9% | 2 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 2 binary64) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
x |
#s(literal 2 binary64) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 2 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 2 binary64) |
| Outputs |
|---|
#s(literal 2 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.5573510438221949 | 130685.75348441166 |
| 6.0ms | 144× | 0 | valid |
Compiled 117 to 88 computations (24.8% saved)
ival-log: 2.0ms (75.3% of total)ival-add: 1.0ms (37.6% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 0.5573510438221949 | 130685.75348441166 |
| 26.0ms | 144× | 0 | valid |
Compiled 117 to 97 computations (17.1% saved)
ival-log: 21.0ms (93.5% of total)ival-add: 1.0ms (4.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.5573510438221949 | 130685.75348441166 |
| 6.0ms | 144× | 0 | valid |
Compiled 63 to 52 computations (17.5% saved)
ival-log: 2.0ms (76.2% of total)ival-add: 1.0ms (38.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 8× | *-commutative_binary64 |
| 8× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 47 |
| 1 | 34 | 47 |
| 1× | saturated |
| Inputs |
|---|
(log1p.f64 x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(log1p.f64 x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) x) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (+.f64 x (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 6530219459687219/4503599627370496 binary64)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) |
(if (<=.f64 x #s(literal 2 binary64)) x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| 4304× | *-lowering-*.f32 |
| 4304× | *-lowering-*.f64 |
| 3810× | *-lowering-*.f32 |
| 3810× | *-lowering-*.f64 |
| 3484× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 2152 |
| 1 | 689 | 1936 |
| 2 | 2116 | 1909 |
| 3 | 7017 | 1905 |
| 0 | 8347 | 1905 |
| 0 | 20 | 110 |
| 1 | 137 | 90 |
| 2 | 1288 | 87 |
| 0 | 8126 | 87 |
| 0 | 62 | 296 |
| 1 | 188 | 252 |
| 2 | 458 | 240 |
| 3 | 1230 | 236 |
| 4 | 3932 | 236 |
| 0 | 8232 | 236 |
| 0 | 4 | 2 |
| 1 | 8 | 2 |
| 0 | 8 | 2 |
| 0 | 168 | 1257 |
| 1 | 512 | 1122 |
| 2 | 1264 | 1046 |
| 3 | 3577 | 1022 |
| 0 | 8190 | 1022 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 225 to 157 computations (30.2% saved)
Compiled 146 to 72 computations (50.7% saved)
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