
Time bar (total: 4.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 9 to 7 computations (22.2% saved)
ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-mult: 0.0ms (0% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 440.0ms | 8256× | 0 | valid |
ival-mult: 81.0ms (37.1% of total)ival-div: 63.0ms (28.9% of total)ival-sub: 58.0ms (26.6% of total)const: 14.0ms (6.4% of total)backward-pass: 3.0ms (1.4% of total)| 2× | egg-herbie |
| 282× | fnmadd-define |
| 258× | fmsub-define |
| 252× | fnmsub-define |
| 168× | fmm-def |
| 134× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 18 |
| 1 | 39 | 18 |
| 2 | 81 | 18 |
| 3 | 203 | 18 |
| 4 | 431 | 15 |
| 5 | 735 | 15 |
| 6 | 991 | 15 |
| 7 | 1043 | 15 |
| 0 | 6 | 6 |
| 1 | 16 | 6 |
| 2 | 22 | 6 |
| 3 | 26 | 6 |
| 4 | 28 | 6 |
| 0 | 28 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (- (* x x) 3) 6) |
| Outputs |
|---|
(/ (- (* x x) 3) 6) |
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| Inputs |
|---|
(/ (- (* x x) 3) 6) |
(/ (- (* (neg x) (neg x)) 3) 6) |
(neg (/ (- (* (neg x) (neg x)) 3) 6)) |
| Outputs |
|---|
(/ (- (* x x) 3) 6) |
(fnmsub (square x) -1/6 1/2) |
(/ (- (* (neg x) (neg x)) 3) 6) |
(fnmsub (square x) -1/6 1/2) |
(neg (/ (- (* (neg x) (neg x)) 3) 6)) |
(fnmsub (square x) 1/6 -1/2) |
(abs x)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 6 binary64) |
| 46.0ms | 512× | 0 | valid |
Compiled 48 to 20 computations (58.3% saved)
ival-mult: 6.0ms (45.3% of total)ival-div: 4.0ms (30.2% of total)ival-sub: 3.0ms (22.6% of total)const: 1.0ms (7.5% of total)backward-pass: 0.0ms (0% of total)Compiled 8 to 6 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
Compiled 8 to 6 computations (25% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| 6× | *-lowering-*.f32 |
| 6× | *-lowering-*.f64 |
| 4× | fma-lowering-fma.f32 |
| 4× | fma-define |
| 4× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 15 |
| 1 | 10 | 15 |
| 2 | 12 | 15 |
| 3 | 13 | 15 |
| 0 | 13 | 15 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ (* x x) 6) -1/2) |
(/ (* x x) 6) |
(* x x) |
x |
6 |
-1/2 |
| Outputs |
|---|
(+ (/ (* x x) 6) -1/2) |
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(/ (* x x) 6) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(* x x) |
(*.f64 x x) |
x |
6 |
#s(literal 6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 20.0ms | 256× | 0 | valid |
Compiled 20 to 7 computations (65% saved)
ival-div: 2.0ms (33% of total)ival-mult: 2.0ms (33% of total)ival-add: 1.0ms (16.5% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ (* x x) 6) -1/2)> |
#<alt (/ (* x x) 6)> |
#<alt (* x x)> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (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 (pow x 2)> |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (+ (/ (* x x) 6) -1/2) |
| 0.0ms | x | @ | 0 | (+ (/ (* x x) 6) -1/2) |
| 0.0ms | x | @ | inf | (/ (* x x) 6) |
| 0.0ms | x | @ | 0 | (/ (* x x) 6) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 3448× | *-lowering-*.f32 |
| 3448× | *-lowering-*.f64 |
| 2438× | fma-lowering-fma.f32 |
| 2438× | fma-lowering-fma.f64 |
| 1498× | unpow-prod-down |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 37 | 11 |
| 2 | 268 | 11 |
| 3 | 3993 | 11 |
| 0 | 8387 | 11 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ (* x x) 6) -1/2) |
(/ (* x x) 6) |
(* x x) |
| Outputs |
|---|
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(+.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))))) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (*.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) (/.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1/36 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 6 binary64) (*.f64 x x))) (/.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(fma.f64 (/.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64))) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) #s(literal -1/12 binary64)))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal -1/8 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal -1/2 binary64))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal 10077696 binary64)) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -1/1728 binary64))))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal 216 binary64))) #s(literal 1/8 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 46656 binary64)) #s(literal -1/64 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1296 binary64)) (+.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64)))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1296 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) #s(literal 1/4 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) |
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(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(*.f64 (/.f64 x #s(literal 6 binary64)) (*.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal -1/6 binary64))) |
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal -6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal -1/6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 x x) |
(*.f64 x (*.f64 x #s(literal 1 binary64))) |
(*.f64 x (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 x (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 x (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) x) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) x) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) x) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) |
| 1× | egg-herbie |
| 1776× | fmsub-define |
| 1672× | fmm-def |
| 1496× | fma-lowering-fma.f32 |
| 1496× | fma-lowering-fma.f64 |
| 1412× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 161 |
| 1 | 30 | 126 |
| 2 | 64 | 126 |
| 3 | 163 | 126 |
| 4 | 446 | 126 |
| 5 | 828 | 126 |
| 6 | 1467 | 126 |
| 7 | 2833 | 126 |
| 8 | 5895 | 126 |
| 0 | 8040 | 126 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
Compiled 3797 to 479 computations (87.4% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 189 | 7 | 196 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 189 | 8 | 197 |
| Status | Accuracy | Program |
|---|---|---|
| 68.2% | (fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) | |
| 63.9% | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) | |
| ▶ | 99.9% | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| ✓ | 99.9% | (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
| ▶ | 99.9% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
| ▶ | 99.9% | (+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
| ▶ | 52.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ▶ | 48.1% | #s(literal -1/2 binary64) |
Compiled 176 to 112 computations (36.4% saved)
| 1× | egg-herbie |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 20× | /-lowering-/.f32 |
| 20× | /-lowering-/.f64 |
| 16× | fmsub-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 61 |
| 1 | 33 | 61 |
| 2 | 44 | 61 |
| 3 | 49 | 58 |
| 4 | 52 | 58 |
| 5 | 75 | 58 |
| 6 | 77 | 58 |
| 0 | 77 | 58 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (/ x (/ 6 x)) 1/2) |
(/ x (/ 6 x)) |
x |
(/ 6 x) |
6 |
1/2 |
-1/2 |
(* 1/6 (* x x)) |
1/6 |
(* x x) |
x |
(+ (* (/ x 6) x) -1/2) |
(* (/ x 6) x) |
(/ x 6) |
x |
6 |
-1/2 |
(+ (/ 1 (/ 6 (* x x))) -1/2) |
(/ 1 (/ 6 (* x x))) |
1 |
(/ 6 (* x x)) |
6 |
(* x x) |
x |
-1/2 |
| Outputs |
|---|
(- (/ x (/ 6 x)) 1/2) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(/ x (/ 6 x)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
x |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
1/2 |
#s(literal 1/2 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1/6 (* x x)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1/6 |
#s(literal 1/6 binary64) |
(* x x) |
(*.f64 x x) |
x |
(+ (* (/ x 6) x) -1/2) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(* (/ x 6) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/ x 6) |
(/.f64 x #s(literal 6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (/ 1 (/ 6 (* x x))) -1/2) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(/ 1 (/ 6 (* x x))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 6 (* x x)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
6 |
#s(literal 6 binary64) |
(* x x) |
(*.f64 x x) |
x |
-1/2 |
#s(literal -1/2 binary64) |
Found 12 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| 70.0ms | 256× | 0 | valid |
Compiled 77 to 18 computations (76.6% saved)
ival-div: 10.0ms (42.3% of total)ival-mult: 5.0ms (21.1% of total)...c/correct-round.rkt:119:19: 4.0ms (16.9% of total)ival-add: 3.0ms (12.7% of total)ival-sub: 1.0ms (4.2% of total)const: 1.0ms (4.2% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- (/ x (/ 6 x)) 1/2)> |
#<alt (/ x (/ 6 x))> |
#<alt (/ 6 x)> |
#<alt (* 1/6 (* x x))> |
#<alt (* x x)> |
#<alt (+ (* (/ x 6) x) -1/2)> |
#<alt (* (/ x 6) x)> |
#<alt (/ x 6)> |
#<alt (+ (/ 1 (/ 6 (* x x))) -1/2)> |
#<alt (/ 1 (/ 6 (* x x)))> |
#<alt (/ 6 (* x x))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (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 (pow x 2)> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 6 x) |
| 0.0ms | x | @ | -inf | (/ x 6) |
| 0.0ms | x | @ | 0 | (/ 6 x) |
| 0.0ms | x | @ | inf | (/ 6 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 6 x) |
| 1× | batch-egg-rewrite |
| 3960× | *-lowering-*.f32 |
| 3960× | *-lowering-*.f64 |
| 2552× | /-lowering-/.f32 |
| 2552× | /-lowering-/.f64 |
| 628× | +-lowering-+.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 46 |
| 1 | 109 | 43 |
| 2 | 661 | 43 |
| 0 | 8641 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (/ x (/ 6 x)) 1/2) |
(/ x (/ 6 x)) |
(/ 6 x) |
(* 1/6 (* x x)) |
(* x x) |
(+ (* (/ x 6) x) -1/2) |
(* (/ x 6) x) |
(/ x 6) |
(+ (/ 1 (/ 6 (* x x))) -1/2) |
(/ 1 (/ 6 (* x x))) |
(/ 6 (* x x)) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))))) |
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) |
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(-.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) (/.f64 #s(literal -1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal -1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) #s(literal -1/4 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(/.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1/1728 binary64)))))) |
(/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal -1/512 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (+.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1728 binary64))) (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal 1/8 binary64)))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))) #s(literal -1/64 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/144 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1/1296 binary64)) #s(literal -1/16 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) #s(literal 1/8 binary64))) (*.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x))))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64))))) #s(literal 1/4 binary64))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))) (neg.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (+.f64 (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))))) |
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(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) (*.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) (+.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) |
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(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1/6 binary64)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) |
(*.f64 #s(literal -6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -6 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 6 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
| 1× | egg-herbie |
| 1776× | fmsub-define |
| 1672× | fmm-def |
| 1496× | fma-lowering-fma.f32 |
| 1496× | fma-lowering-fma.f64 |
| 1412× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 603 |
| 1 | 35 | 498 |
| 2 | 68 | 498 |
| 3 | 161 | 498 |
| 4 | 443 | 498 |
| 5 | 824 | 498 |
| 6 | 1468 | 498 |
| 7 | 2845 | 498 |
| 8 | 5915 | 498 |
| 0 | 8074 | 498 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
Compiled 12353 to 889 computations (92.8% saved)
9 alts after pruning (6 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 726 | 5 | 731 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 730 | 9 | 739 |
| Status | Accuracy | Program |
|---|---|---|
| 63.9% | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) | |
| ▶ | 52.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ▶ | 52.3% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ▶ | 52.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | 99.9% | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| ▶ | 99.9% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64)) |
| ▶ | 52.3% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | 52.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 128 to 88 computations (31.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 6 binary64) x) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64)) |
| 30× | *-lowering-*.f32 |
| 30× | *-lowering-*.f64 |
| 20× | /-lowering-/.f32 |
| 20× | /-lowering-/.f64 |
| 16× | fma-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 60 |
| 1 | 27 | 59 |
| 2 | 36 | 59 |
| 3 | 45 | 59 |
| 4 | 68 | 59 |
| 5 | 69 | 59 |
| 0 | 69 | 59 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+ (/ 1 (/ (/ 6 x) x)) -1/2) |
(/ 1 (/ (/ 6 x) x)) |
1 |
(/ (/ 6 x) x) |
(/ 6 x) |
6 |
x |
-1/2 |
(* (/ x 6) x) |
(/ x 6) |
x |
6 |
(/ x (/ 6 x)) |
x |
(/ 6 x) |
6 |
(/ (* x x) 6) |
(* x x) |
x |
6 |
(/ 1 (/ 6 (* x x))) |
1 |
(/ 6 (* x x)) |
6 |
(* x x) |
x |
| Outputs |
|---|
(+ (/ 1 (/ (/ 6 x) x)) -1/2) |
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(/ 1 (/ (/ 6 x) x)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ (/ 6 x) x) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
-1/2 |
#s(literal -1/2 binary64) |
(* (/ x 6) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/ x 6) |
(/.f64 x #s(literal 6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(/ x (/ 6 x)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
x |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
(/ (* x x) 6) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(* x x) |
(*.f64 x x) |
x |
6 |
#s(literal 6 binary64) |
(/ 1 (/ 6 (* x x))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ 6 (* x x)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
6 |
#s(literal 6 binary64) |
(* x x) |
(*.f64 x x) |
x |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 6 binary64) (*.f64 x x)) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 6 binary64) x) x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| 72.0ms | 256× | 0 | valid |
Compiled 78 to 16 computations (79.5% saved)
ival-div: 21.0ms (77.2% of total)ival-mult: 4.0ms (14.7% of total)ival-add: 1.0ms (3.7% of total)const: 1.0ms (3.7% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (/ 1 (/ (/ 6 x) x)) -1/2)> |
#<alt (/ 1 (/ (/ 6 x) x))> |
#<alt (/ (/ 6 x) x)> |
#<alt (/ 6 x)> |
#<alt (* (/ x 6) x)> |
#<alt (/ x 6)> |
#<alt (/ x (/ 6 x))> |
#<alt (/ (* x x) 6)> |
#<alt (* x x)> |
#<alt (/ 1 (/ 6 (* x x)))> |
#<alt (/ 6 (* x x))> |
| Outputs |
|---|
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 x)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (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 (pow x 2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (+ (/ 1 (/ (/ 6 x) x)) -1/2) |
| 0.0ms | x | @ | 0 | (/ (/ 6 x) x) |
| 0.0ms | x | @ | inf | (+ (/ 1 (/ (/ 6 x) x)) -1/2) |
| 0.0ms | x | @ | -inf | (+ (/ 1 (/ (/ 6 x) x)) -1/2) |
| 0.0ms | x | @ | 0 | (/ 1 (/ (/ 6 x) x)) |
| 1× | batch-egg-rewrite |
| 3880× | *-lowering-*.f32 |
| 3880× | *-lowering-*.f64 |
| 2382× | /-lowering-/.f32 |
| 2382× | /-lowering-/.f64 |
| 706× | frac-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 42 |
| 1 | 78 | 41 |
| 2 | 613 | 41 |
| 0 | 8231 | 41 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (/ 1 (/ (/ 6 x) x)) -1/2) |
(/ 1 (/ (/ 6 x) x)) |
(/ (/ 6 x) x) |
(/ 6 x) |
(* (/ x 6) x) |
(/ x 6) |
(/ x (/ 6 x)) |
(/ (* x x) 6) |
(* x x) |
(/ 1 (/ 6 (* x x))) |
(/ 6 (* x x)) |
| Outputs |
|---|
(+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(+.f64 (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(-.f64 (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)))) (/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)) |
(fma.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(fma.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1/2 binary64)) |
(fma.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))))) |
(neg.f64 (/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (-.f64 #s(literal 1/4 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64))))) |
(/.f64 (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 216 binary64) (*.f64 x (*.f64 x x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 x (/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) x)) #s(literal -1/4 binary64))) (+.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1/2 binary64))) |
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(/.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal 6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) |
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) |
(*.f64 #s(literal 6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal 6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -6 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(*.f64 #s(literal -6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 6 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -6 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 6 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -6 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 6 binary64) x) x) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) x)) #s(literal -6 binary64)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 6 binary64) x)) |
| 1× | egg-herbie |
| 1776× | fmsub-define |
| 1672× | fmm-def |
| 1496× | fma-lowering-fma.f32 |
| 1496× | fma-lowering-fma.f64 |
| 1412× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 593 |
| 1 | 35 | 486 |
| 2 | 68 | 486 |
| 3 | 161 | 486 |
| 4 | 443 | 486 |
| 5 | 823 | 486 |
| 6 | 1466 | 486 |
| 7 | 2841 | 486 |
| 8 | 5904 | 486 |
| 0 | 8063 | 486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 x) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
| Outputs |
|---|
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 x) |
(*.f64 #s(literal 1/6 binary64) x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
Compiled 7890 to 825 computations (89.5% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 761 | 1 | 762 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 763 | 8 | 771 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.9% | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
| ✓ | 52.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| ✓ | 52.3% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ▶ | 52.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| ✓ | 99.9% | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| ✓ | 52.3% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | 52.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 62 to 42 computations (32.3% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 6 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 6 binary64) x) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| 1754× | *-lowering-*.f32 |
| 1754× | *-lowering-*.f64 |
| 1586× | fnmadd-define |
| 1230× | /-lowering-/.f32 |
| 1230× | /-lowering-/.f64 |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 68 |
| 1 | 38 | 67 |
| 2 | 86 | 61 |
| 3 | 238 | 61 |
| 4 | 690 | 61 |
| 5 | 1995 | 57 |
| 6 | 3750 | 57 |
| 7 | 5918 | 57 |
| 0 | 8032 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (/ 6 x) x)) |
1 |
(/ (/ 6 x) x) |
(/ 6 x) |
6 |
x |
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6))) |
(- 1/4 (/ (* x x) (/ 36 (* x x)))) |
1/4 |
(/ (* x x) (/ 36 (* x x))) |
(* x x) |
x |
(/ 36 (* x x)) |
36 |
(+ -1/2 (/ (* x x) -6)) |
-1/2 |
(/ (* x x) -6) |
-6 |
| Outputs |
|---|
(/ 1 (/ (/ 6 x) x)) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
1 |
#s(literal 1 binary64) |
(/ (/ 6 x) x) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
6 |
#s(literal 6 binary64) |
x |
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6))) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
(- 1/4 (/ (* x x) (/ 36 (* x x)))) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal -36 binary64) (*.f64 x x)))) |
1/4 |
#s(literal 1/4 binary64) |
(/ (* x x) (/ 36 (* x x))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) |
(* x x) |
(*.f64 x x) |
x |
(/ 36 (* x x)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
36 |
#s(literal 36 binary64) |
(+ -1/2 (/ (* x x) -6)) |
(+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* x x) -6) |
(/.f64 (*.f64 x x) #s(literal -6 binary64)) |
-6 |
#s(literal -6 binary64) |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x x) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(literal 36 binary64) (*.f64 x x)) |
| ✓ | accuracy | 69.1% | (/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 6 binary64) x) |
| ✓ | accuracy | 99.7% | (/.f64 (/.f64 #s(literal 6 binary64) x) x) |
| ✓ | accuracy | 99.0% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| 49.0ms | 256× | 0 | valid |
Compiled 84 to 18 computations (78.6% saved)
ival-div: 12.0ms (69.3% of total)ival-mult: 2.0ms (11.6% of total)ival-sub: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)const: 1.0ms (5.8% of total)backward-pass: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ (/ 6 x) x))> |
#<alt (/ (/ 6 x) x)> |
#<alt (/ 6 x)> |
#<alt (/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6)))> |
#<alt (- 1/4 (/ (* x x) (/ 36 (* x x))))> |
#<alt (/ (* x x) (/ 36 (* x x)))> |
#<alt (* x x)> |
#<alt (/ 36 (* x x))> |
#<alt (/ (* x x) -6)> |
| Outputs |
|---|
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 (pow x 2))> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt (/ 6 x)> |
#<alt -1/2> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (- (* 1/6 (pow x 2)) 1/2)> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/36 (pow x 4)))> |
#<alt (+ 1/4 (* -1/36 (pow x 4)))> |
#<alt (+ 1/4 (* -1/36 (pow x 4)))> |
#<alt (* -1/36 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* -1/36 (pow x 4))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<alt (* 1/36 (pow x 4))> |
#<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 (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (/ 36 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
#<alt (* -1/6 (pow x 2))> |
27 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6))) |
| 1.0ms | x | @ | 0 | (/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6))) |
| 0.0ms | x | @ | 0 | (/ 36 (* x x)) |
| 0.0ms | x | @ | inf | (/ (* x x) (/ 36 (* x x))) |
| 0.0ms | x | @ | inf | (/ 36 (* x x)) |
| 1× | batch-egg-rewrite |
| 4782× | *-lowering-*.f32 |
| 4782× | *-lowering-*.f64 |
| 3446× | /-lowering-/.f32 |
| 3446× | /-lowering-/.f64 |
| 1216× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 54 |
| 1 | 115 | 39 |
| 2 | 924 | 38 |
| 0 | 9095 | 38 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ (/ 6 x) x)) |
(/ (/ 6 x) x) |
(/ 6 x) |
(/ (- 1/4 (/ (* x x) (/ 36 (* x x)))) (+ -1/2 (/ (* x x) -6))) |
(- 1/4 (/ (* x x) (/ 36 (* x x)))) |
(/ (* x x) (/ 36 (* x x))) |
(* x x) |
(/ 36 (* x x)) |
(/ (* x x) -6) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(neg.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(neg.f64 (/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -6 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -6 binary64) x)) |
(/.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)) |
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) (*.f64 x x))) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(*.f64 x (/.f64 x #s(literal 6 binary64))) |
(*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1/6 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(*.f64 #s(literal -1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 x #s(literal -6 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x #s(literal -6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 x #s(literal -6 binary64)) #s(literal -1 binary64)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 6 binary64) x) x) |
(/.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(/.f64 (/.f64 #s(literal -6 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 6 binary64))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 x #s(literal -6 binary64))) |
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 6 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 6 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal -6 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 6 binary64)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) |
(neg.f64 (/.f64 #s(literal -6 binary64) x)) |
(neg.f64 (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(neg.f64 (*.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 6 binary64))) |
(/.f64 #s(literal 6 binary64) x) |
(/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 x #s(literal -6 binary64))) |
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) |
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
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(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x))) |
(neg.f64 (/.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 36 binary64) x))) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal -36 binary64))) |
(/.f64 (/.f64 #s(literal -36 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 #s(literal -36 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(/.f64 (/.f64 #s(literal 36 binary64) x) x) |
(/.f64 (/.f64 #s(literal -36 binary64) x) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 36 binary64) (*.f64 x x))) |
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(*.f64 #s(literal 36 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(*.f64 (/.f64 #s(literal 36 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -36 binary64) (*.f64 x x))) |
(*.f64 #s(literal -36 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 36 binary64) x)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 36 binary64)) |
(*.f64 (/.f64 #s(literal 36 binary64) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal -36 binary64) x) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 x (/.f64 #s(literal 36 binary64) x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (/.f64 #s(literal 36 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal 6 binary64) x)) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (*.f64 #s(literal -6 binary64) (/.f64 #s(literal -6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(neg.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 #s(literal -6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal -6 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 6 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -6 binary64) x))) |
(*.f64 x (/.f64 x #s(literal -6 binary64))) |
(*.f64 (*.f64 x x) #s(literal -1/6 binary64)) |
(*.f64 (/.f64 x (/.f64 #s(literal -6 binary64) x)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) #s(literal 1/6 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 6 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (*.f64 x x)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal -6 binary64)) x) |
(*.f64 #s(literal 1/6 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x x))) |
(*.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 1808× | fmsub-define |
| 1704× | fmm-def |
| 1556× | fma-lowering-fma.f32 |
| 1556× | fma-lowering-fma.f64 |
| 1532× | sum4-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 511 |
| 1 | 62 | 431 |
| 2 | 113 | 431 |
| 3 | 228 | 431 |
| 4 | 531 | 431 |
| 5 | 907 | 431 |
| 6 | 1568 | 431 |
| 7 | 2919 | 431 |
| 8 | 6070 | 431 |
| 0 | 8320 | 431 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 (pow x 2)) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
(/ 6 x) |
-1/2 |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(- (* 1/6 (pow x 2)) 1/2) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
1/4 |
(+ 1/4 (* -1/36 (pow x 4))) |
(+ 1/4 (* -1/36 (pow x 4))) |
(+ 1/4 (* -1/36 (pow x 4))) |
(* -1/36 (pow x 4)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* -1/36 (pow x 4)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(* 1/36 (pow x 4)) |
(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) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(/ 36 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
(* -1/6 (pow x 2)) |
| Outputs |
|---|
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 (pow x 2)) |
(/.f64 #s(literal 6 binary64) (*.f64 x x)) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
(/ 6 x) |
(/.f64 #s(literal 6 binary64) x) |
-1/2 |
#s(literal -1/2 binary64) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(- (* 1/6 (pow x 2)) 1/2) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* 1/6 (pow x 2)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/36 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(+ 1/4 (* -1/36 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(+ 1/4 (* -1/36 (pow x 4))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* -1/36 (pow x 4)) |
(*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* -1/36 (pow x 4)) |
(*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* (pow x 4) (- (* 1/4 (/ 1 (pow x 4))) 1/36)) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x))) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(* 1/36 (pow x 4)) |
(*.f64 (*.f64 (*.f64 x (*.f64 x x)) x) #s(literal 1/36 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(/ 36 (pow x 2)) |
(/.f64 #s(literal 36 binary64) (*.f64 x x)) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
(* -1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -1/6 binary64))) |
Compiled 16681 to 1502 computations (91% saved)
8 alts after pruning (1 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 1 | 597 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 6 | 6 |
| Total | 597 | 8 | 605 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 52.3% | (/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| 16.5% | (/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) | |
| ✓ | 52.3% | (/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| ✓ | 52.3% | (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
| ✓ | 99.9% | (-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
| ✓ | 52.3% | (*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| ✓ | 52.2% | (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| ✓ | 48.1% | #s(literal -1/2 binary64) |
Compiled 207 to 86 computations (58.5% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(-.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x))) #s(literal -1/2 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 6 binary64) x) x)) #s(literal -1/2 binary64)) |
(/.f64 (*.f64 #s(literal -1/36 binary64) (*.f64 (*.f64 x (*.f64 x x)) x)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 36 binary64) (*.f64 x x)))) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))) |
(fma.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal 6 binary64)) (/.f64 (/.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 x (/.f64 #s(literal 6 binary64) x)) #s(literal 1/2 binary64))))) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
4 calls:
| 33.0ms | x |
| 5.0ms | (*.f64 x x) |
| 4.0ms | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 4.0ms | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) |
| 99.9% | 1 | (-.f64 (*.f64 x x) #s(literal 3 binary64)) |
| 99.9% | 1 | (*.f64 x x) |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
2 calls:
| 3.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (*.f64 x x) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(/.f64 (*.f64 x x) #s(literal 6 binary64)) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (*.f64 x x) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(/.f64 x (/.f64 #s(literal 6 binary64) x)) |
2 calls:
| 5.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (*.f64 x x) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 (/.f64 x #s(literal 6 binary64)) x) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (*.f64 x x) |
Compiled 6 to 3 computations (50% saved)
| Inputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
(*.f64 #s(literal 1/6 binary64) (*.f64 x x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 x x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | x |
| 98.6% | 2 | (*.f64 x x) |
Compiled 6 to 3 computations (50% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(literal -1/2 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.09313706566471151 | 396.49057076981546 |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.09313706566471151 | 396.49057076981546 |
Compiled 12 to 9 computations (25% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.09313706566471151 | 396.49057076981546 |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 0.09313706566471151 | 396.49057076981546 |
| 5.0ms | 128× | 0 | valid |
Compiled 76 to 65 computations (14.5% saved)
ival-sub: 1.0ms (52.1% of total)ival-div: 1.0ms (52.1% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 4× | *-commutative_binary64 |
| 4× | +-commutative_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 63 |
| 1 | 25 | 63 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) |
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -1/2 binary64)) |
(+.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal -1/2 binary64)) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64)))) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal 6 binary64))) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (/.f64 x (/.f64 #s(literal 6 binary64) x))) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) |
(if (<=.f64 (*.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(literal -1/2 binary64) (*.f64 x (/.f64 x #s(literal 6 binary64)))) |
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 #s(literal 1/6 binary64) (*.f64 x x))) |
(if (<=.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) |
#s(literal -1/2 binary64) |
| 3960× | *-lowering-*.f32 |
| 3960× | *-lowering-*.f64 |
| 3448× | *-lowering-*.f32 |
| 3448× | *-lowering-*.f64 |
| 2552× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 12 |
| 1 | 37 | 11 |
| 2 | 268 | 11 |
| 3 | 3993 | 11 |
| 0 | 8387 | 11 |
| 0 | 6 | 6 |
| 1 | 16 | 6 |
| 2 | 22 | 6 |
| 3 | 26 | 6 |
| 4 | 28 | 6 |
| 0 | 28 | 6 |
| 0 | 17 | 46 |
| 1 | 109 | 43 |
| 2 | 661 | 43 |
| 0 | 8641 | 43 |
| 0 | 13 | 161 |
| 1 | 30 | 126 |
| 2 | 64 | 126 |
| 3 | 163 | 126 |
| 4 | 446 | 126 |
| 5 | 828 | 126 |
| 6 | 1467 | 126 |
| 7 | 2833 | 126 |
| 8 | 5895 | 126 |
| 0 | 8040 | 126 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
Compiled 212 to 131 computations (38.2% saved)
(abs x)
Compiled 192 to 90 computations (53.1% saved)
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