
Time bar (total: 7.2s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 50% | 50% | 0% | 0% | 0% | 0 |
| 100% | 50% | 0% | 50% | 0% | 0% | 0% | 1 |
Compiled 9 to 6 computations (33.3% saved)
ival-sub: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)ival-fabs: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)ival-<=: 0.0ms (0% of total)| 1.8s | 8065× | 1 | valid |
| 10.0ms | 191× | 0 | valid |
ival-exp: 589.0ms (57.4% of total)ival-sub: 130.0ms (12.7% of total)ival-<=: 120.0ms (11.7% of total)backward-pass: 114.0ms (11.1% of total)ival-fabs: 61.0ms (5.9% of total)const: 11.0ms (1.1% of total)| 2× | egg-herbie |
| 60× | sum3-define |
| 58× | fmsub-define |
| 30× | fmm-def |
| 28× | fma-define |
| 28× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 9 |
| 1 | 21 | 9 |
| 2 | 41 | 9 |
| 3 | 62 | 9 |
| 4 | 96 | 9 |
| 5 | 134 | 9 |
| 6 | 161 | 9 |
| 7 | 199 | 9 |
| 8 | 225 | 9 |
| 9 | 238 | 9 |
| 10 | 250 | 9 |
| 11 | 251 | 9 |
| 0 | 4 | 2 |
| 1 | 10 | 2 |
| 2 | 11 | 2 |
| 0 | 11 | 2 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (exp x) 1) |
| Outputs |
|---|
(- (exp x) 1) |
(expm1.f64 x) |
| Inputs |
|---|
(- (exp x) 1) |
(- (exp (neg x)) 1) |
(neg (- (exp (neg x)) 1)) |
| Outputs |
|---|
(- (exp x) 1) |
(expm1 x) |
(- (exp (neg x)) 1) |
(expm1 (neg x)) |
(neg (- (exp (neg x)) 1)) |
(neg (expm1 (neg x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 255 | 1 | (-0.006309366078395203) | 0 | - | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 99.0ms | 508× | 1 | valid |
| 0.0ms | 4× | 0 | valid |
Compiled 25 to 14 computations (44% saved)
ival-exp: 33.0ms (66.8% of total)backward-pass: 8.0ms (16.2% of total)ival-sub: 7.0ms (14.2% of total)const: 1.0ms (2% of total)Compiled 3 to 2 computations (33.3% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (expm1.f64 x) |
Compiled 3 to 2 computations (33.3% saved)
| 1× | egg-herbie |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (expm1.f64 x) |
| 4× | +-lowering-+.f64 |
| 4× | +-lowering-+.f32 |
| 2× | exp-lowering-exp.f32 |
| 2× | expm1-lowering-expm1.f32 |
| 2× | 1-exp |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 3 |
| 1 | 10 | 3 |
| 2 | 11 | 3 |
| 0 | 11 | 3 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (exp x) 1) |
x |
| Outputs |
|---|
(- (exp x) 1) |
(expm1.f64 x) |
x |
Found 1 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (expm1.f64 x) |
| 51.0ms | 253× | 5 | exit |
| 0.0ms | 2× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 5 to 3 computations (40% saved)
compiled-spec: 6.0ms (34.1% of total)backward-pass: 6.0ms (34.1% of total)ival-exp: 4.0ms (22.7% of total)ival-sub: 2.0ms (11.4% of total)const: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (exp x) 1)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
#<alt (- (exp x) 1)> |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (- (exp x) 1) |
| 0.0ms | x | @ | -inf | (- (exp x) 1) |
| 0.0ms | x | @ | inf | (- (exp x) 1) |
| 1× | batch-egg-rewrite |
| 574× | /-lowering-/.f32 |
| 574× | /-lowering-/.f64 |
| 536× | *-lowering-*.f32 |
| 536× | *-lowering-*.f64 |
| 284× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 4 | 2 |
| 1 | 23 | 2 |
| 2 | 134 | 2 |
| 0 | 1209 | 2 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (exp x) 1) |
| Outputs |
|---|
(+.f64 (exp.f64 x) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (exp.f64 x)) |
(+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(-.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(-.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(fma.f64 (exp.f64 x) #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (exp.f64 x) #s(literal -1 binary64)) |
(expm1.f64 x) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(neg.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (expm1.f64 x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (expm1.f64 x) #s(literal 1 binary64)) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (*.f64 (exp.f64 x) #s(literal -1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)))) |
(/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (-.f64 #s(literal -1 binary64) (exp.f64 x))) |
(/.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) #s(literal 1 binary64))) (*.f64 (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) (+.f64 (/.f64 (exp.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) (+.f64 (/.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(/.f64 (*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64)))) (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (*.f64 (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (expm1.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (expm1.f64 x)) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) #s(literal -1 binary64)))))) |
(*.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (*.f64 (expm1.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (/.f64 (expm1.f64 x) (+.f64 (exp.f64 x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x))))) (expm1.f64 (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) |
(*.f64 (/.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (+.f64 (exp.f64 x) #s(literal 1 binary64))) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (expm1.f64 (*.f64 #s(literal 2 binary64) x))) (expm1.f64 x)) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (+.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (*.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (-.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) (exp.f64 (*.f64 #s(literal 2 binary64) x)))))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 x #s(literal 3 binary64))) (-.f64 (exp.f64 (+.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (pow.f64 (+.f64 (exp.f64 x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (exp.f64 x))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (exp.f64 (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 x) (expm1.f64 x)))) |
(*.f64 (/.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 2 binary64) x)))) (-.f64 #s(literal 1 binary64) (exp.f64 x))) |
| 1× | egg-herbie |
| 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 | 22 | 50 |
| 1 | 72 | 44 |
| 2 | 190 | 41 |
| 3 | 465 | 41 |
| 4 | 978 | 41 |
| 5 | 1401 | 41 |
| 6 | 1557 | 41 |
| 7 | 1559 | 41 |
| 0 | 1559 | 41 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
(- (exp x) 1) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
(- (exp x) 1) |
(expm1.f64 x) |
Compiled 1522 to 213 computations (86% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 77 | 4 | 81 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 77 | 5 | 82 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ▶ | 99.7% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
| ▶ | 99.6% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | 100.0% | (expm1.f64 x) |
| ▶ | 98.5% | x |
Compiled 41 to 30 computations (26.8% 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 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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 1/6))))) |
x |
(+ 1 (* x (+ 1/2 (* x 1/6)))) |
1 |
(* x (+ 1/2 (* x 1/6))) |
(+ 1/2 (* x 1/6)) |
1/2 |
(* x 1/6) |
1/6 |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
x |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) |
1 |
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) |
(+ 1/2 (* x (+ 1/6 (* x 1/24)))) |
1/2 |
(* x (+ 1/6 (* x 1/24))) |
(+ 1/6 (* x 1/24)) |
1/6 |
(* x 1/24) |
1/24 |
| 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 1/6))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
x |
(+ 1 (* x (+ 1/2 (* x 1/6)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1/2 (* x 1/6))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* x 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
x |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(+ 1/2 (* x (+ 1/6 (* x 1/24)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ 1/6 (* x 1/24))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(+ 1/6 (* x 1/24)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 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)))) |
| 110.0ms | 255× | 0 | valid |
| 2.0ms | 1× | 5 | exit |
Compiled 128 to 21 computations (83.6% saved)
ival-add: 32.0ms (47.7% of total)ival-mult: 25.0ms (37.2% of total)...c/correct-round.rkt:119:19: 8.0ms (11.9% of total)const: 0.0ms (0% 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 1/6)))))> |
#<alt (+ 1 (* x (+ 1/2 (* x 1/6))))> |
#<alt (* x (+ 1/2 (* x 1/6)))> |
#<alt (+ 1/2 (* x 1/6))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))> |
#<alt (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))> |
#<alt (+ 1/2 (* x (+ 1/6 (* x 1/24))))> |
#<alt (* x 1/6)> |
#<alt (* x 1/24)> |
#<alt (* x (+ 1/6 (* x 1/24)))> |
#<alt (+ 1/6 (* x 1/24))> |
| 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) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* x (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 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 (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))> |
#<alt (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))> |
#<alt (+ 1/2 (* x (+ 1/6 (* 1/24 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt (+ 1/6 (* 1/24 x))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 x)> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/24 (* 1/6 (/ 1 x))))> |
45 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x 1/24) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
| 1.0ms | x | @ | inf | (* x (+ 1 (* x 1/2))) |
| 0.0ms | x | @ | -inf | (* x (+ 1 (* x 1/2))) |
| 0.0ms | x | @ | -inf | (* x (+ 1 (* x (+ 1/2 (* x 1/6))))) |
| 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 | 113 |
| 1 | 137 | 93 |
| 2 | 1290 | 90 |
| 0 | 8131 | 90 |
| 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 1/6))))) |
(+ 1 (* x (+ 1/2 (* x 1/6)))) |
(* x (+ 1/2 (* x 1/6))) |
(+ 1/2 (* x 1/6)) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) |
(+ 1/2 (* x (+ 1/6 (* x 1/24)))) |
(* x 1/6) |
(* x 1/24) |
(* x (+ 1/6 (* x 1/24))) |
(+ 1/6 (* x 1/24)) |
| 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))))))) |
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(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x)) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 x (*.f64 x x))) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) x) |
(*.f64 (+.f64 (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x #s(literal 1/24 binary64))) (*.f64 x (*.f64 x #s(literal 1/24 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 x (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal 1/6 binary64)) |
(+.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(-.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) (/.f64 #s(literal 1/36 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) |
(fma.f64 x #s(literal 1/24 binary64) #s(literal 1/6 binary64)) |
(fma.f64 #s(literal 1/24 binary64) x #s(literal 1/6 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x)))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (*.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/10077696 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/46656 binary64) (-.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (*.f64 #s(literal 1/2985984 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/1296 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (*.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64))) (neg.f64 (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (/.f64 #s(literal 1/36 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) (-.f64 #s(literal 1/36 binary64) (*.f64 #s(literal 1/144 binary64) x))))) |
(*.f64 (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/13824 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x #s(literal 1/24 binary64)) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal 1/576 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/576 binary64)) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/24 binary64)) #s(literal -1/6 binary64)))) |
| 1× | egg-herbie |
| 3042× | *-lowering-*.f32 |
| 3042× | *-lowering-*.f64 |
| 1980× | +-lowering-+.f64 |
| 1980× | +-lowering-+.f32 |
| 1858× | sum3-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 1184 |
| 1 | 313 | 976 |
| 2 | 1004 | 942 |
| 3 | 3992 | 926 |
| 4 | 7166 | 923 |
| 0 | 8339 | 923 |
| 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) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(+ 1 (* 1/2 x)) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 x) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* x (+ 1/2 (/ 1 x))) |
(* 1/2 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 (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* 1/6 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) |
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/24 x))) |
(* x (+ 1/6 (* 1/24 x))) |
(* x (+ 1/6 (* 1/24 x))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
1/6 |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(+ 1/6 (* 1/24 x)) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 x) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(* x (+ 1/24 (* 1/6 (/ 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 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* 1/2 (pow x 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(*.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 (+ 1/2 (/ 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 (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* 1/6 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (*.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(*.f64 (*.f64 x x) (neg.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x #s(literal 1/6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 x)) |
(+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* (pow x 2) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(+ 1/2 (* 1/6 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(+ 1/2 (* 1/6 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 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 (+ 1/2 (* 1/6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))))) |
(* 1/2 x) |
(*.f64 x #s(literal 1/2 binary64)) |
(* x (+ 1/2 (* 1/6 x))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* 1/24 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 x (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (-.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x #s(literal -1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/6 x)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(+ 1/2 (* x (+ 1/6 (* 1/24 x)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 2) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* x (+ 1/6 (* 1/24 x))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (+ 1/6 (* 1/24 x))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* x (+ 1/6 (* 1/24 x))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/24 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/24 binary64))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/24 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(+ 1/6 (* 1/24 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(+ 1/6 (* 1/24 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* 1/24 x) |
(*.f64 x #s(literal 1/24 binary64)) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
(* x (+ 1/24 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
Compiled 19894 to 2188 computations (89% saved)
8 alts after pruning (5 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 687 | 5 | 692 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 689 | 8 | 697 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
| ▶ | 99.7% | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
| ▶ | 99.6% | (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
| ▶ | 26.3% | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
| ▶ | 99.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | 100.0% | (expm1.f64 x) |
| ✓ | 98.5% | x |
Compiled 285 to 125 computations (56.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
| ✓ | cost-diff | 640 | (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| ✓ | cost-diff | 640 | (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))) |
| ✓ | cost-diff | 768 | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
| ✓ | cost-diff | 768 | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
| 3022× | fma-lowering-fma.f32 |
| 3022× | fma-lowering-fma.f64 |
| 1934× | fma-define |
| 1922× | *-lowering-*.f32 |
| 1922× | *-lowering-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 563 |
| 1 | 123 | 407 |
| 2 | 395 | 354 |
| 3 | 2058 | 354 |
| 4 | 6934 | 354 |
| 0 | 8407 | 354 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
x |
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))) |
1 |
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))) |
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) |
(+ 1/2 (* x (+ 1/6 (* x 1/24)))) |
1/2 |
(* x (+ 1/6 (* x 1/24))) |
(+ 1/6 (* x 1/24)) |
1/6 |
(* x 1/24) |
1/24 |
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)) |
(* x x) |
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) |
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) |
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))) |
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))) |
(+ (* x (* x 1/2)) x) |
(* x (* x 1/2)) |
x |
(* x 1/2) |
1/2 |
(/ x (/ 1 (+ 1 (* x 1/2)))) |
x |
(/ 1 (+ 1 (* x 1/2))) |
1 |
(+ 1 (* x 1/2)) |
(* x 1/2) |
1/2 |
(+ (* x (* x (+ 1/2 (* x 1/6)))) x) |
(* x (* x (+ 1/2 (* x 1/6)))) |
x |
(* x (+ 1/2 (* x 1/6))) |
(+ 1/2 (* x 1/6)) |
1/2 |
(* x 1/6) |
1/6 |
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))) |
(* (* x (* x x)) x) |
(* x (* x x)) |
x |
(* x x) |
(+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)) |
1/24 |
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x) |
(+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) |
1/6 |
(/ (+ 1/2 (/ 1 x)) x) |
(+ 1/2 (/ 1 x)) |
1/2 |
(/ 1 x) |
1 |
| Outputs |
|---|
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))))) |
x |
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64))))) |
1 |
#s(literal 1 binary64) |
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal -1 binary64)))) |
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(+ 1/2 (* x (+ 1/6 (* x 1/24)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
1/2 |
#s(literal 1/2 binary64) |
(* x (+ 1/6 (* x 1/24))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(+ 1/6 (* x 1/24)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x 1/24) |
(*.f64 x #s(literal 1/24 binary64)) |
1/24 |
#s(literal 1/24 binary64) |
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* x x) |
(*.f64 x x) |
(- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(+ (* x (* x 1/2)) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 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)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
x |
(/ 1 (+ 1 (* x 1/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 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)) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* x (* x (+ 1/2 (* x 1/6)))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (* x (+ 1/2 (* x 1/6)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
x |
(* x (+ 1/2 (* x 1/6))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(+ 1/2 (* x 1/6)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x 1/6) |
(*.f64 x #s(literal 1/6 binary64)) |
1/6 |
#s(literal 1/6 binary64) |
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
(* (* x (* x x)) x) |
(*.f64 x (*.f64 x (*.f64 x x))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)) |
(+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
1/24 |
#s(literal 1/24 binary64) |
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) |
(+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
1/6 |
#s(literal 1/6 binary64) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) 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 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (*.f64 x x)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
| ✓ | accuracy | 99.8% | (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
| ✓ | accuracy | 28.0% | (*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/6 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.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 x (*.f64 x #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))) |
| ✓ | accuracy | 99.5% | (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
| ✓ | accuracy | 99.5% | (*.f64 x #s(literal 1/24 binary64)) |
| 194.0ms | 255× | 0 | valid |
| 4.0ms | 1× | 5 | exit |
Compiled 605 to 41 computations (93.2% saved)
ival-mult: 30.0ms (40.8% of total)ival-div: 20.0ms (27.2% of total)ival-add: 13.0ms (17.7% of total)...c/correct-round.rkt:119:19: 8.0ms (10.9% of total)const: 1.0ms (1.4% of total)backward-pass: 1.0ms (1.4% of total)ival-sub: 1.0ms (1.4% of total)| Inputs |
|---|
#<alt (* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))))> |
#<alt (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))> |
#<alt (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))> |
#<alt (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24)))))))> |
#<alt (+ (* x (* x 1/2)) x)> |
#<alt (* x (* x 1/2))> |
#<alt (* x 1/2)> |
#<alt (/ x (/ 1 (+ 1 (* x 1/2))))> |
#<alt (/ 1 (+ 1 (* x 1/2)))> |
#<alt (+ 1 (* x 1/2))> |
#<alt (+ (* x (* x (+ 1/2 (* x 1/6)))) x)> |
#<alt (* x (* x (+ 1/2 (* x 1/6))))> |
#<alt (* x (+ 1/2 (* x 1/6)))> |
#<alt (+ 1/2 (* x 1/6))> |
#<alt (* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)))> |
#<alt (* (* x (* x x)) x)> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (* x 1/24)> |
#<alt (* x (+ 1/6 (* x 1/24)))> |
#<alt (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))> |
#<alt (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))> |
#<alt (* x 1/6)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/24 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2)))> |
#<alt (/ 24 (pow x 3))> |
#<alt (/ (- 24 (* 96 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3))> |
#<alt (/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3))> |
#<alt (/ 24 (pow x 3))> |
#<alt (* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3)))> |
#<alt (* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/12 (* 1/8 x))) 1/2)))> |
#<alt (* 1/576 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/8 (/ 1 (pow x 3)))))))> |
#<alt (* 1/576 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))> |
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/8 (/ 1 x))) x)) 1/72) x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<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 (* 1/2 x)))> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1/2 (/ 1 x)))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/4 x) 1/2)))> |
#<alt (+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2)))> |
#<alt (/ 2 x)> |
#<alt (/ (- 2 (* 4 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x)> |
#<alt (/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x)> |
#<alt (/ 2 x)> |
#<alt (* -1 (/ (- (* 4 (/ 1 x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) 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 x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6)))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* (pow x 2) (+ 1/2 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/2 x)> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* x (+ 1/2 (* 1/6 x)))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (+ 1/2 (* 1/6 x))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt (* x (+ 1/6 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3))))))> |
#<alt (* 1/24 (pow x 4))> |
#<alt (* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x)))))> |
#<alt (* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))))> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 4)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/24 x)> |
#<alt (* 1/6 x)> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* x (+ 1/6 (* 1/24 x)))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/24 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x))))> |
#<alt (* 1/8 (pow x 3))> |
#<alt (* (pow x 3) (+ 1/8 (* 1/8 x)))> |
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x)))))> |
#<alt (* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x)))))))> |
#<alt (* 1/13824 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))> |
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x)))))> |
#<alt (* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3)))))))> |
#<alt (* 1/13824 (pow x 9))> |
#<alt (* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x))))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824)))> |
#<alt (* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824)))> |
#<alt (* 1/4 (pow x 2))> |
#<alt (* (pow x 2) (+ 1/4 (* 1/6 x)))> |
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x)))))> |
#<alt (* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x)))))))> |
#<alt (* 1/576 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3)))))))> |
#<alt (* 1/576 (pow x 6))> |
#<alt (* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x))))> |
#<alt (* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x)))))> |
#<alt (* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x))))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (/ 1 (pow x 2))> |
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))> |
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))> |
#<alt (/ (+ 1 (* 1/2 x)) (pow x 2))> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ 1/2 x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ (+ 1/2 (/ 1 x)) x)> |
#<alt (/ 1 (pow x 3))> |
#<alt (/ (+ 1 (* 1/2 x)) (pow x 3))> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))> |
#<alt (/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3))> |
#<alt (/ 1/6 x)> |
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)> |
#<alt (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)> |
#<alt (/ 1/6 x)> |
#<alt (/ (+ 1/6 (* 1/2 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x) |
| 1.0ms | x | @ | -inf | (* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
| 0.0ms | x | @ | inf | (* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
| 0.0ms | x | @ | -inf | (/ (+ 1/2 (/ 1 x)) x) |
| 0.0ms | x | @ | 0 | (* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
| 1× | batch-egg-rewrite |
| 4006× | *-lowering-*.f32 |
| 4006× | *-lowering-*.f64 |
| 2414× | fma-lowering-fma.f32 |
| 2414× | fma-lowering-fma.f64 |
| 2230× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 427 |
| 1 | 303 | 256 |
| 2 | 2974 | 252 |
| 0 | 8987 | 252 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))))) |
(/ 1 (/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))))))) |
(/ (+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) (+ 1 (* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))))) |
(+ (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) (- 1 (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))))) |
(+ (* x (* x 1/2)) x) |
(* x (* x 1/2)) |
(* x 1/2) |
(/ x (/ 1 (+ 1 (* x 1/2)))) |
(/ 1 (+ 1 (* x 1/2))) |
(+ 1 (* x 1/2)) |
(+ (* x (* x (+ 1/2 (* x 1/6)))) x) |
(* x (* x (+ 1/2 (* x 1/6)))) |
(* x (+ 1/2 (* x 1/6))) |
(+ 1/2 (* x 1/6)) |
(* (* (* x (* x x)) x) (+ 1/24 (/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x))) |
(* (* x (* x x)) x) |
(* x (* x x)) |
(* x x) |
(* x 1/24) |
(* x (+ 1/6 (* x 1/24))) |
(* (* x (+ 1/2 (* x (+ 1/6 (* x 1/24))))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x)))) |
(* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* (+ 1/2 (* x (+ 1/6 (* x 1/24)))) (* x x))) |
(* x 1/6) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/6 (/ (+ 1/2 (/ 1 x)) x)) x) |
| Outputs |
|---|
(/.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
(/.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))))) |
(/.f64 (*.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
(pow.f64 (/.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))) x) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))))) x)) |
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(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(pow.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) |
(*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) |
(*.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(*.f64 (*.f64 x (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (-.f64 #s(literal 0 binary64) x)) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 x x)) |
(*.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) x) |
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) x) x) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) #s(literal 2 binary64)) (*.f64 x x)) |
(*.f64 x #s(literal 1/6 binary64)) |
(*.f64 #s(literal 1/6 binary64) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (*.f64 x (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (*.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) x)))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64))) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (*.f64 x (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (*.f64 x (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(pow.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x))) #s(literal -1 binary64))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (+.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal -1/6 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (*.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1/216 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (/.f64 (-.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1/6 binary64)) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 1/36 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) (/.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)))) |
| 1× | egg-herbie |
| 4192× | *-lowering-*.f32 |
| 4192× | *-lowering-*.f64 |
| 3620× | +-lowering-+.f64 |
| 3620× | +-lowering-+.f32 |
| 3136× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 2090 |
| 1 | 994 | 1827 |
| 2 | 2970 | 1805 |
| 0 | 8435 | 1805 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 3)) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/12 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2))) |
(/ 24 (pow x 3)) |
(/ (- 24 (* 96 (/ 1 x))) (pow x 3)) |
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3)) |
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3)) |
(/ 24 (pow x 3)) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/12 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/12 (* 1/8 x))) 1/2))) |
(* 1/576 (pow x 6)) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))) |
(* 1/576 (pow x 6)) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/8 (/ 1 x))) x)) 1/72) x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 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 (* 1/2 x))) |
(* x (+ 1 (* 1/2 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (/ 1 x))) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/4 x) 1/2))) |
(+ 1 (* x (- (* x (+ 1/4 (* -1/8 x))) 1/2))) |
(/ 2 x) |
(/ (- 2 (* 4 (/ 1 x))) x) |
(/ (- (+ 2 (/ 8 (pow x 2))) (* 4 (/ 1 x))) x) |
(/ (- (+ 2 (/ 8 (pow x 2))) (+ (* 4 (/ 1 x)) (* 16 (/ 1 (pow x 3))))) x) |
(/ 2 x) |
(* -1 (/ (- (* 4 (/ 1 x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 x)) 4) x)) 2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 x)) 8) x)) 4) x)) 2) 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))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* (pow x 3) (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2))))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* (pow x 2) (+ 1/2 (* 1/6 x))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 3)) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 3) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/2 x) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* 1/6 x))) |
(* x (+ 1/2 (* 1/6 x))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 x)))) |
1/2 |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(+ 1/2 (* 1/6 x)) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
(* x (+ 1/6 (* 1/2 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(* 1/24 (pow x 4)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 4) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/24 x) |
(* 1/6 x) |
(* x (+ 1/6 (* 1/24 x))) |
(* x (+ 1/6 (* 1/24 x))) |
(* x (+ 1/6 (* 1/24 x))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/24 (pow x 2)) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(* 1/8 (pow x 3)) |
(* (pow x 3) (+ 1/8 (* 1/8 x))) |
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))) |
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x))))))) |
(* 1/13824 (pow x 9)) |
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x)))) |
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x))))) |
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3))))))) |
(* 1/13824 (pow x 9)) |
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x)))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824))) |
(* 1/4 (pow x 2)) |
(* (pow x 2) (+ 1/4 (* 1/6 x))) |
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) |
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x))))))) |
(* 1/576 (pow x 6)) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))))) |
(* 1/576 (pow x 6)) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x)))) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(/ 1 (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ 1/2 x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/ 1 (pow x 3)) |
(/ (+ 1 (* 1/2 x)) (pow x 3)) |
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3)) |
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3)) |
(/ 1/6 x) |
(/ (+ 1/6 (* 1/2 (/ 1 x))) x) |
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x) |
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x) |
(/ 1/6 x) |
(/ (+ 1/6 (* 1/2 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) 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 (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))))) |
(* 1/24 (pow x 4)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(* (pow x 4) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))) |
(* (pow x 4) (+ 1/24 (* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (-.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) 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 (* 1/6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (* 1/6 (/ 1 x))))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) |
(* (pow x 3) (+ 1/24 (+ (/ 1/2 (pow x 2)) (+ (* 1/6 (/ 1 x)) (/ 1 (pow x 3)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(* 1/24 (pow x 3)) |
(*.f64 #s(literal 1/24 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (* 1/2 (/ 1 x))) x)) 1/24))) |
(*.f64 (-.f64 #s(literal -1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) |
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x)) 1/24))) |
(*.f64 (+.f64 (/.f64 (+.f64 (+.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) #s(literal -1/24 binary64)) (-.f64 #s(literal 0 binary64) (*.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 (- (* 1/12 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (- (* x (+ 1/12 (* 1/144 (pow x 2)))) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 (*.f64 x x) #s(literal 1/144 binary64))))))) |
(/ 24 (pow x 3)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) |
(/ (- 24 (* 96 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 24 (/ 96 (pow x 2))) (* 96 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x)) (*.f64 x (*.f64 x x))) |
(/ (- (+ 24 (+ (* 192 (/ 1 (pow x 3))) (/ 96 (pow x 2)))) (* 96 (/ 1 x))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 24 binary64) (+.f64 (/.f64 #s(literal 192 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) #s(literal -96 binary64)) x))) (*.f64 x (*.f64 x x))) |
(/ 24 (pow x 3)) |
(/.f64 #s(literal 24 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* 96 (/ 1 x)) 24) (pow x 3))) |
(/.f64 (+.f64 #s(literal 24 binary64) (/.f64 #s(literal -96 binary64) x)) (*.f64 x (*.f64 x x))) |
(* -1 (/ (- (* -1 (/ (- (* 96 (/ 1 x)) 96) x)) 24) (pow x 3))) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 96 binary64) (/.f64 #s(literal -96 binary64) x)) x) #s(literal -24 binary64)) (*.f64 x (*.f64 x x)))) |
(* -1 (/ (- (* -1 (/ (- (+ (* 96 (/ 1 x)) (/ 192 (pow x 2))) 96) x)) 24) (pow x 3))) |
(/.f64 (-.f64 #s(literal -24 binary64) (/.f64 (+.f64 (/.f64 #s(literal 96 binary64) x) (+.f64 (/.f64 #s(literal 192 binary64) (*.f64 x x)) #s(literal -96 binary64))) x)) (-.f64 #s(literal 0 binary64) (*.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 (- (* 1/12 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (- (* x (+ 1/12 (* 1/8 x))) 1/2))) |
(+.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 1/8 binary64))))))) |
(* 1/576 (pow x 6)) |
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/8 (/ 1 (pow x 3))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 (/.f64 #s(literal 5/72 binary64) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(* 1/576 (pow x 6)) |
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/8 (/ 1 x))) x)) 1/72) x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -5/72 binary64) (/.f64 #s(literal -1/8 binary64) x)) x) #s(literal -1/72 binary64)) x))) |
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)))) |
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(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* (pow x 2) (+ 1/24 (* 1/6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))) |
(* 1/8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal 1/8 binary64)))) |
(* (pow x 3) (+ 1/8 (* 1/8 x))) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 1/8 binary64))))) |
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* 7/96 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x #s(literal 7/96 binary64)))))) |
(* (pow x 3) (+ 1/8 (* x (+ 1/8 (* x (+ 7/96 (* 11/432 x))))))) |
(*.f64 x (*.f64 (*.f64 x x) (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 1/8 binary64) (*.f64 x (+.f64 #s(literal 7/96 binary64) (*.f64 x #s(literal 11/432 binary64))))))))) |
(* 1/13824 (pow x 9)) |
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x))) |
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (* 1/1152 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (+.f64 (/.f64 #s(literal 1/1152 binary64) x) (/.f64 #s(literal 7/1152 binary64) (*.f64 x x))))) |
(* (pow x 9) (+ 1/13824 (+ (/ 7/1152 (pow x 2)) (+ (* 1/1152 (/ 1 x)) (* 11/432 (/ 1 (pow x 3))))))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal 1/1152 binary64) x) (+.f64 (/.f64 #s(literal 7/1152 binary64) (*.f64 x x)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 11/432 binary64) (*.f64 x (*.f64 x x))))))) |
(* 1/13824 (pow x 9)) |
(*.f64 #s(literal 1/13824 binary64) (pow.f64 x #s(literal 9 binary64))) |
(* (pow x 9) (+ 1/13824 (* 1/1152 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (/.f64 #s(literal 1/1152 binary64) x))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (* 7/1152 (/ 1 x))) x)) 1/13824))) |
(*.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 #s(literal 1/13824 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1/1152 binary64) (/.f64 #s(literal -7/1152 binary64) x)) x)))) |
(* -1 (* (pow x 9) (- (* -1 (/ (+ 1/1152 (+ (/ 11/432 (pow x 2)) (* 7/1152 (/ 1 x)))) x)) 1/13824))) |
(*.f64 (-.f64 #s(literal -1/13824 binary64) (/.f64 (+.f64 (/.f64 #s(literal 7/1152 binary64) x) (+.f64 #s(literal 1/1152 binary64) (/.f64 #s(literal 11/432 binary64) (*.f64 x x)))) x)) (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 9 binary64)))) |
(* 1/4 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* 1/6 x))) |
(*.f64 (*.f64 x x) (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/4 binary64))) |
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* 5/72 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 5/72 binary64)))))) |
(* (pow x 2) (+ 1/4 (* x (+ 1/6 (* x (+ 5/72 (* 1/72 x))))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 5/72 binary64) (*.f64 x #s(literal 1/72 binary64)))))))) |
(* 1/576 (pow x 6)) |
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (+ (* 1/72 (/ 1 x)) (* 1/6 (/ 1 (pow x 3))))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (+.f64 (/.f64 #s(literal 5/72 binary64) (*.f64 x x)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))))))) |
(* 1/576 (pow x 6)) |
(*.f64 #s(literal 1/576 binary64) (pow.f64 x #s(literal 6 binary64))) |
(* (pow x 6) (+ 1/576 (* 1/72 (/ 1 x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (/.f64 #s(literal 1/72 binary64) x))) |
(* (pow x 6) (+ 1/576 (+ (/ 5/72 (pow x 2)) (* 1/72 (/ 1 x))))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1/576 binary64) (+.f64 (/.f64 #s(literal 1/72 binary64) x) (/.f64 #s(literal 5/72 binary64) (*.f64 x x))))) |
(* (pow x 6) (+ 1/576 (* -1 (/ (- (* -1 (/ (+ 5/72 (* 1/6 (/ 1 x))) x)) 1/72) x)))) |
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 1/576 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/6 binary64) x) #s(literal -5/72 binary64)) x) #s(literal -1/72 binary64)) x))) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(* 1/6 x) |
(*.f64 x #s(literal 1/6 binary64)) |
(/ 1 (pow x 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 x x)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/ (+ 1 (* 1/2 x)) (pow x 2)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ (+ 1/2 (/ 1 x)) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x) |
(/ 1 (pow x 3)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* 1/2 x)) (pow x 3)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) |
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ (+ 1 (* x (+ 1/2 (* 1/6 x)))) (pow x 3)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) (*.f64 x (*.f64 x x))) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ (+ 1/6 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(/ (+ 1/6 (+ (* 1/2 (/ 1 x)) (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ (+ 1/6 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (* -1 (/ (+ 1/2 (/ 1 x)) x)) 1/6) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x)) x) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) |
Compiled 76507 to 3847 computations (95% saved)
7 alts after pruning (3 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1272 | 3 | 1275 |
| Fresh | 0 | 0 | 0 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1276 | 7 | 1283 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.6% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | 99.7% | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
| ✓ | 99.6% | (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
| ▶ | 99.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
| ▶ | 99.6% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | 100.0% | (expm1.f64 x) |
| ✓ | 98.5% | x |
Compiled 57 to 39 computations (31.6% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)))) |
| ✓ | 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 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 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 1/12 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 | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| 94× | fma-define |
| 86× | *-lowering-*.f32 |
| 86× | *-lowering-*.f64 |
| 84× | fma-lowering-fma.f32 |
| 84× | fma-lowering-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 94 |
| 1 | 35 | 78 |
| 2 | 62 | 78 |
| 3 | 112 | 78 |
| 4 | 139 | 78 |
| 5 | 152 | 78 |
| 6 | 156 | 78 |
| 7 | 161 | 78 |
| 8 | 165 | 78 |
| 9 | 166 | 78 |
| 0 | 166 | 78 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (/ 1 (+ 1 (* x -1/2)))) |
x |
(/ 1 (+ 1 (* x -1/2))) |
1 |
(+ 1 (* x -1/2)) |
(* x -1/2) |
-1/2 |
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))) |
x |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))) |
1 |
(+ 1 (* x (+ -1/2 (* x 1/12)))) |
(* x (+ -1/2 (* x 1/12))) |
(+ -1/2 (* x 1/12)) |
-1/2 |
(* x 1/12) |
1/12 |
(/ x (+ 1 (* x -1/2))) |
x |
(+ 1 (* x -1/2)) |
1 |
(* x -1/2) |
-1/2 |
| Outputs |
|---|
(* x (/ 1 (+ 1 (* x -1/2)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
x |
(/ 1 (+ 1 (* x -1/2))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 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)) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
x |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))) |
(/.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)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x (+ -1/2 (* x 1/12)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* x (+ -1/2 (* x 1/12))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(+ -1/2 (* x 1/12)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 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) |
(/ 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) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | 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)))) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
| ✓ | 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 1/12 binary64))))))) |
| ✓ | accuracy | 100.0% | (/.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)))))) |
| ✓ | accuracy | 99.5% | (*.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 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| 66.0ms | 256× | 0 | valid |
Compiled 99 to 16 computations (83.8% saved)
ival-mult: 10.0ms (35.3% of total)...c/correct-round.rkt:119:19: 8.0ms (28.2% of total)ival-div: 5.0ms (17.6% of total)ival-add: 4.0ms (14.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (* x (/ 1 (+ 1 (* x -1/2))))> |
#<alt (/ 1 (+ 1 (* x -1/2)))> |
#<alt (+ 1 (* x -1/2))> |
#<alt (* x -1/2)> |
#<alt (* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))))> |
#<alt (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))> |
#<alt (+ 1 (* x (+ -1/2 (* x 1/12))))> |
#<alt (* x (+ -1/2 (* x 1/12)))> |
#<alt (/ x (+ 1 (* x -1/2)))> |
#<alt (* x 1/12)> |
| Outputs |
|---|
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/4 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))> |
#<alt (/ -2 x)> |
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x)> |
#<alt (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x)> |
#<alt (/ -2 x)> |
#<alt (* -1 (/ (+ 2 (* 4 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x))> |
#<alt (* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) 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 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 (+ 1/2 (* 1/6 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))))> |
#<alt (/ 12 x)> |
#<alt (/ (+ 12 (* 72 (/ 1 x))) x)> |
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x)> |
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x)> |
#<alt (/ 12 x)> |
#<alt (/ (+ 12 (* 72 (/ 1 x))) x)> |
#<alt (* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x))> |
#<alt (* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 x))> |
#<alt (+ 1 (* x (+ 1/2 (* 1/6 x))))> |
#<alt (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))> |
#<alt (/ 12 (pow x 2))> |
#<alt (/ (+ 12 (* 72 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2))> |
#<alt (/ 12 (pow x 2))> |
#<alt (/ (+ 12 (* 72 (/ 1 x))) (pow x 2))> |
#<alt (/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2))> |
#<alt (/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 x))> |
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))> |
#<alt (+ 1 (* x (- (* 1/12 x) 1/2)))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))> |
#<alt (* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x))))> |
#<alt (* -1/2 x)> |
#<alt (* x (- (* 1/12 x) 1/2))> |
#<alt (* x (- (* 1/12 x) 1/2))> |
#<alt (* x (- (* 1/12 x) 1/2))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* 1/12 (pow x 2))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/12 (* 1/2 (/ 1 x))))> |
#<alt x> |
#<alt (* x (+ 1 (* 1/2 x)))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* 1/4 x)))))> |
#<alt (* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x))))> |
#<alt -2> |
#<alt (* -1 (+ 2 (* 4 (/ 1 x))))> |
#<alt (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2)> |
#<alt (- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2)> |
#<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)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (+ 1 (* x -1/2)) |
| 1.0ms | x | @ | inf | (* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))) |
| 0.0ms | x | @ | -inf | (* x 1/12) |
| 0.0ms | x | @ | inf | (* x (+ -1/2 (* x 1/12))) |
| 0.0ms | x | @ | -inf | (* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))) |
| 1× | batch-egg-rewrite |
| 3950× | *-lowering-*.f32 |
| 3950× | *-lowering-*.f64 |
| 2772× | /-lowering-/.f32 |
| 2772× | /-lowering-/.f64 |
| 1814× | sum3-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 68 |
| 1 | 91 | 57 |
| 2 | 693 | 57 |
| 3 | 7166 | 57 |
| 0 | 8796 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (/ 1 (+ 1 (* x -1/2)))) |
(/ 1 (+ 1 (* x -1/2))) |
(+ 1 (* x -1/2)) |
(* x -1/2) |
(* x (/ 1 (+ 1 (* x (+ -1/2 (* x 1/12)))))) |
(/ 1 (+ 1 (* x (+ -1/2 (* x 1/12))))) |
(+ 1 (* x (+ -1/2 (* x 1/12)))) |
(* x (+ -1/2 (* x 1/12))) |
(/ x (+ 1 (* x -1/2))) |
(* x 1/12) |
| Outputs |
|---|
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(+.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 x #s(literal 1/2 binary64)))) |
(+.f64 (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 x (+.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 -1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 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 x #s(literal 1/2 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)) |
(neg.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 x (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) |
(*.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 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.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)))) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 x (+.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 #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.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 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 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 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (*.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))))) |
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(neg.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) x)) |
(neg.f64 (/.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 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (*.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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (/.f64 x (+.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 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.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 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(/.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))))) |
(/.f64 (*.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(/.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) |
(*.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 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 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (+.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)))) x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.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 (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64)) x)) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 x (+.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 #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (*.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 (*.f64 x x) #s(literal -1/4 binary64)))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) 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 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal -1/4 binary64)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/2 binary64)))))) |
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/4 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64))))) |
(*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 1/4 binary64))) #s(literal -1 binary64))) (+.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.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 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64)) |
| 1× | egg-herbie |
| 2226× | *-lowering-*.f32 |
| 2226× | *-lowering-*.f64 |
| 1968× | fma-lowering-fma.f32 |
| 1968× | fma-lowering-fma.f64 |
| 1792× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 856 |
| 1 | 445 | 749 |
| 2 | 1174 | 728 |
| 3 | 3105 | 702 |
| 4 | 6700 | 702 |
| 0 | 8437 | 702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/4 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))) |
-2 |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/4 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x)))))) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x) |
(/ -2 x) |
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) |
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x)) |
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 (+ 1/2 (* 1/6 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(/ 12 x) |
(/ (+ 12 (* 72 (/ 1 x))) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x) |
(/ 12 x) |
(/ (+ 12 (* 72 (/ 1 x))) x) |
(* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x)) |
(* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x)) |
1 |
(+ 1 (* 1/2 x)) |
(+ 1 (* x (+ 1/2 (* 1/6 x)))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(/ 12 (pow x 2)) |
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2)) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2)) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2)) |
(/ 12 (pow x 2)) |
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2)) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2)) |
(/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2)) |
1 |
(+ 1 (* -1/2 x)) |
(+ 1 (* x (- (* 1/12 x) 1/2))) |
(+ 1 (* x (- (* 1/12 x) 1/2))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- (+ 1/12 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(* -1/2 x) |
(* x (- (* 1/12 x) 1/2)) |
(* x (- (* 1/12 x) 1/2)) |
(* x (- (* 1/12 x) 1/2)) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* 1/12 (pow x 2)) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
x |
(* x (+ 1 (* 1/2 x))) |
(* x (+ 1 (* x (+ 1/2 (* 1/4 x))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))) |
-2 |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) |
-2 |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) |
(* 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) |
| Outputs |
|---|
x |
(* x (+ 1 (* 1/2 x))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
(* x (+ 1 (* x (+ 1/2 (* 1/4 x))))) |
(*.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 (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))) |
(*.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) |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) 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 (* 1/4 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/4 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/4 (* 1/8 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 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x) |
(/ (- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) x) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) x) |
(/ -2 x) |
(/.f64 #s(literal -2 binary64) x) |
(* -1 (/ (+ 2 (* 4 (/ 1 x))) x)) |
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) x) |
(* -1 (/ (+ 2 (+ (* 4 (/ 1 x)) (/ 8 (pow x 2)))) x)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) x) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (+ 8 (* 16 (/ 1 x))) x)) 4) x))) x)) |
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 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 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 (+ 1/2 (* 1/6 x))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(* x (+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x))))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(/ 12 x) |
(/.f64 #s(literal 12 binary64) x) |
(/ (+ 12 (* 72 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) x) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) x) |
(/ 12 x) |
(/.f64 #s(literal 12 binary64) x) |
(/ (+ 12 (* 72 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 72 (* 288 (/ 1 x))) x)) 12) x)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (+ 72 (+ (* 288 (/ 1 x)) (/ 864 (pow x 2)))) x)) 12) x)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 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 (* 1/6 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(+ 1 (* x (+ 1/2 (* x (+ 1/6 (* 1/24 x)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))))) |
(/ 12 (pow x 2)) |
(/.f64 #s(literal 12 binary64) (*.f64 x x)) |
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (+ (* 864 (/ 1 (pow x 3))) (/ 288 (pow x 2))))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) x)) (*.f64 x x)) |
(/ 12 (pow x 2)) |
(/.f64 #s(literal 12 binary64) (*.f64 x x)) |
(/ (+ 12 (* 72 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (+.f64 #s(literal 12 binary64) (/.f64 #s(literal 72 binary64) x)) x) x) |
(/ (+ 12 (+ (* 72 (/ 1 x)) (/ 288 (pow x 2)))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 #s(literal 288 binary64) x)) x)) (*.f64 x x)) |
(/ (+ 12 (* -1 (/ (- (* -1 (/ (+ 288 (* 864 (/ 1 x))) x)) 72) x))) (pow x 2)) |
(/.f64 (+.f64 #s(literal 12 binary64) (/.f64 (+.f64 #s(literal 72 binary64) (/.f64 (+.f64 #s(literal 288 binary64) (/.f64 #s(literal 864 binary64) x)) x)) 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 (- (* 1/12 x) 1/2))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(+ 1 (* x (- (* 1/12 x) 1/2))) |
(+.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 x (*.f64 x #s(literal 1/12 binary64))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- (+ 1/12 (/ 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 1/12 binary64))))) |
(* (pow x 2) (- (+ 1/12 (/ 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 1/12 binary64))))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) |
(* (pow x 2) (+ 1/12 (* -1 (/ (- 1/2 (/ 1 x)) x)))) |
(+.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 (- (* 1/12 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (- (* 1/12 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* x (- (* 1/12 x) 1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* 1/12 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/12 binary64))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) |
(* (pow x 2) (- 1/12 (* 1/2 (/ 1 x)))) |
(*.f64 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 (+ 1/2 (* 1/4 x))))) |
(*.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 (+ 1/2 (* x (+ 1/4 (* 1/8 x))))))) |
(*.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) |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(- (* -1 (/ (+ 8 (* 16 (/ 1 x))) (pow x 2))) (+ 2 (* 4 (/ 1 x)))) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) |
-2 |
#s(literal -2 binary64) |
(* -1 (+ 2 (* 4 (/ 1 x)))) |
(-.f64 #s(literal -2 binary64) (/.f64 #s(literal 4 binary64) x)) |
(- (* -1 (/ (+ 4 (* 8 (/ 1 x))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) x)) x)) |
(- (* -1 (/ (+ 4 (+ (* 8 (/ 1 x)) (/ 16 (pow x 2)))) x)) 2) |
(+.f64 #s(literal -2 binary64) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -8 binary64) (/.f64 #s(literal -16 binary64) x)) x) #s(literal -4 binary64)) x)) |
(* 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)) |
Compiled 20128 to 1832 computations (90.9% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 768 | 6 | 774 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 2 | 3 |
| Done | 0 | 4 | 4 |
| Total | 769 | 12 | 781 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) | |
| ✓ | 99.6% | (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
| 99.5% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) x)) | |
| 99.2% | (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) x)) | |
| ✓ | 99.7% | (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
| ✓ | 99.6% | (+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
| 99.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))) | |
| 99.8% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) | |
| ✓ | 99.6% | (*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) |
| 99.9% | (*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) | |
| ✓ | 100.0% | (expm1.f64 x) |
| ✓ | 98.5% | x |
Compiled 602 to 190 computations (68.4% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
(expm1.f64 x) |
(-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| Outputs |
|---|
(expm1.f64 x) |
3 calls:
| 6.0ms | x |
| 6.0ms | (exp.f64 x) |
| 5.0ms | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | (-.f64 (exp.f64 x) #s(literal 1 binary64)) |
| 100.0% | 1 | (exp.f64 x) |
Compiled 10 to 7 computations (30% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))) (/.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))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64))))) (*.f64 x x)))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) (+.f64 #s(literal 1/24 binary64) (/.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))) |
| Outputs |
|---|
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 x (+.f64 #s(literal 1/2 binary64) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/24 binary64)))))))) |
| Outputs |
|---|
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(*.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 #s(literal 1 binary64) (*.f64 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))))) |
| Outputs |
|---|
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
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)))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
x |
| Outputs |
|---|
x |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | egg-herbie |
| 58× | *-commutative_binary64 |
| 44× | +-commutative_binary64 |
| 24× | sub-neg_binary64 |
| 24× | distribute-lft-neg-in_binary64 |
| 24× | distribute-rgt-neg-in_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 128 |
| 1 | 83 | 128 |
| 2 | 102 | 128 |
| 3 | 122 | 128 |
| 4 | 152 | 128 |
| 5 | 164 | 128 |
| 6 | 170 | 128 |
| 7 | 171 | 128 |
| 1× | saturated |
| Inputs |
|---|
(expm1.f64 x) |
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.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)))) |
x |
| Outputs |
|---|
(expm1.f64 x) |
(*.f64 x (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))) (*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))) (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64))))))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))) (*.f64 #s(literal 1/12 binary64) (*.f64 x x))))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/12 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64))))) x) |
(+.f64 x (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) x) |
(+.f64 x (*.f64 x (*.f64 x #s(literal 1/2 binary64)))) |
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))) |
x |
| 4192× | *-lowering-*.f32 |
| 4192× | *-lowering-*.f64 |
| 3950× | *-lowering-*.f32 |
| 3950× | *-lowering-*.f64 |
| 3810× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 293 | 2090 |
| 1 | 994 | 1827 |
| 2 | 2970 | 1805 |
| 0 | 8435 | 1805 |
| 0 | 22 | 50 |
| 1 | 72 | 44 |
| 2 | 190 | 41 |
| 3 | 465 | 41 |
| 4 | 978 | 41 |
| 5 | 1401 | 41 |
| 6 | 1557 | 41 |
| 7 | 1559 | 41 |
| 0 | 1559 | 41 |
| 0 | 15 | 68 |
| 1 | 91 | 57 |
| 2 | 693 | 57 |
| 3 | 7166 | 57 |
| 0 | 8796 | 57 |
| 0 | 20 | 113 |
| 1 | 137 | 93 |
| 2 | 1290 | 90 |
| 0 | 8131 | 90 |
| 0 | 4 | 2 |
| 1 | 10 | 2 |
| 2 | 11 | 2 |
| 0 | 11 | 2 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 340 to 194 computations (42.9% saved)
Compiled 274 to 96 computations (65% saved)
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