
Time bar (total: 8.3s)
| 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 11 to 8 computations (27.3% saved)
ival-sub: 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)| 593.0ms | 8256× | 0 | valid |
ival-mult: 263.0ms (80.2% of total)ival-sub: 46.0ms (14% of total)const: 15.0ms (4.6% of total)backward-pass: 3.0ms (0.9% of total)| 2× | egg-herbie |
| 1404× | sum4-define |
| 1400× | sum5-define |
| 1310× | fnmadd-define |
| 1242× | fma-define |
| 1122× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 25 |
| 1 | 47 | 24 |
| 2 | 153 | 22 |
| 3 | 631 | 21 |
| 4 | 1719 | 21 |
| 5 | 5027 | 21 |
| 6 | 5484 | 21 |
| 7 | 5524 | 21 |
| 8 | 5524 | 21 |
| 0 | 7 | 8 |
| 1 | 17 | 8 |
| 2 | 45 | 7 |
| 3 | 120 | 7 |
| 4 | 249 | 7 |
| 5 | 354 | 7 |
| 6 | 540 | 7 |
| 7 | 830 | 7 |
| 8 | 2474 | 7 |
| 9 | 2892 | 7 |
| 10 | 3355 | 7 |
| 11 | 3951 | 7 |
| 12 | 3975 | 7 |
| 0 | 3975 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (* x x) (- 3 (* x 2))) |
| Outputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| Inputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2))) |
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))) |
| Outputs |
|---|
(* (* x x) (- 3 (* x 2))) |
(* (fnmsub x 2 -3) (square x)) |
(* (* (neg x) (neg x)) (- 3 (* (neg x) 2))) |
(* (square x) (fnmsub x -2 -3)) |
(neg (* (* (neg x) (neg x)) (- 3 (* (neg x) 2)))) |
(* (square x) (fnmsub x 2 3)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 142.0ms | 512× | 0 | valid |
Compiled 60 to 23 computations (61.7% saved)
ival-mult: 110.0ms (96.6% of total)ival-sub: 3.0ms (2.6% of total)const: 1.0ms (0.9% of total)backward-pass: 0.0ms (0% of total)Compiled 10 to 7 computations (30% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| ▶ | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
Compiled 20 to 14 computations (30% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| 1126× | fma-define |
| 1016× | sum3-define |
| 1012× | fnmadd-define |
| 832× | sum5-define |
| 738× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 47 |
| 1 | 33 | 42 |
| 2 | 78 | 42 |
| 3 | 144 | 42 |
| 4 | 273 | 42 |
| 5 | 383 | 42 |
| 6 | 569 | 42 |
| 7 | 859 | 42 |
| 8 | 2503 | 42 |
| 9 | 2922 | 42 |
| 10 | 3395 | 42 |
| 11 | 3991 | 42 |
| 12 | 4015 | 42 |
| 0 | 4015 | 42 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (* x (+ 3 (* x -2)))) |
x |
(* x (+ 3 (* x -2))) |
(+ 3 (* x -2)) |
3 |
(* x -2) |
-2 |
(* (* x x) (- 3 (* x 2))) |
(* x x) |
x |
(- 3 (* x 2)) |
3 |
(* x 2) |
2 |
| Outputs |
|---|
(* x (* x (+ 3 (* x -2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
x |
(* x (+ 3 (* x -2))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(+ 3 (* x -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
3 |
#s(literal 3 binary64) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* (* x x) (- 3 (* x 2))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x x) |
(*.f64 x x) |
x |
(- 3 (* x 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
3 |
#s(literal 3 binary64) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| 164.0ms | 235× | 0 | valid |
| 4.0ms | 10× | 2 | valid |
| 3.0ms | 11× | 1 | valid |
Compiled 52 to 13 computations (75% saved)
ival-mult: 34.0ms (86.7% of total)ival-add: 2.0ms (5.1% of total)ival-sub: 2.0ms (5.1% of total)const: 1.0ms (2.5% of total)backward-pass: 1.0ms (2.5% of total)| Inputs |
|---|
#<alt (* x (* x (+ 3 (* x -2))))> |
#<alt (* x (+ 3 (* x -2)))> |
#<alt (+ 3 (* x -2))> |
#<alt (* x -2)> |
#<alt (* (* x x) (- 3 (* x 2)))> |
#<alt (* x x)> |
#<alt (- 3 (* x 2))> |
#<alt (* x 2)> |
| Outputs |
|---|
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<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 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (* x (* x (+ 3 (* x -2)))) |
| 0.0ms | x | @ | 0 | (* x (* x (+ 3 (* x -2)))) |
| 0.0ms | x | @ | -inf | (* x (+ 3 (* x -2))) |
| 0.0ms | x | @ | inf | (* x -2) |
| 0.0ms | x | @ | -inf | (* x (* x (+ 3 (* x -2)))) |
| 1× | batch-egg-rewrite |
| 3310× | *-lowering-*.f32 |
| 3310× | *-lowering-*.f64 |
| 1682× | fma-lowering-fma.f32 |
| 1682× | fma-lowering-fma.f64 |
| 1624× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 58 | 36 |
| 2 | 449 | 36 |
| 3 | 3729 | 36 |
| 0 | 9154 | 36 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (* x (+ 3 (* x -2)))) |
(* x (+ 3 (* x -2))) |
(+ 3 (* x -2)) |
(* x -2) |
(* (* x x) (- 3 (* x 2))) |
(* x x) |
(- 3 (* x 2)) |
(* x 2) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x))) |
(-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) (-.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x))))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 x (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (*.f64 x (*.f64 x x)))) x) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64)) (*.f64 x x)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (*.f64 x x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))))) #s(literal -1 binary64)) |
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(/.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(pow.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
(*.f64 (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (-.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (-.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal 729 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (+.f64 #s(literal 19683 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 512 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) #s(literal 729 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 16 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x #s(literal -2 binary64))) |
(neg.f64 (*.f64 x #s(literal -2 binary64))) |
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 1 binary64)) #s(literal -2 binary64)) |
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 1× | egg-herbie |
| 1354× | fmsub-define |
| 1336× | fnmsub-define |
| 1274× | *-lowering-*.f32 |
| 1274× | *-lowering-*.f64 |
| 1262× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 480 |
| 1 | 79 | 401 |
| 2 | 190 | 401 |
| 3 | 536 | 401 |
| 4 | 1485 | 401 |
| 5 | 2778 | 401 |
| 6 | 6003 | 401 |
| 0 | 8279 | 401 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(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) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
(pow x 2) |
(*.f64 x x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
Compiled 10703 to 966 computations (91% saved)
14 alts after pruning (13 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 472 | 13 | 485 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 473 | 14 | 487 |
| Status | Accuracy | Program |
|---|---|---|
| 59.1% | (/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) | |
| 69.2% | (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) | |
| 49.2% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) | |
| ▶ | 69.2% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
| 63.3% | (*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) | |
| 71.5% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) | |
| 63.1% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| ▶ | 49.2% | (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
| 71.0% | (*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))))) | |
| ▶ | 99.8% | (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 73.2% | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
| 99.7% | (*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))) | |
| ✓ | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| ▶ | 63.1% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 494 to 325 computations (34.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
| ✓ | cost-diff | 128 | (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
| 2296× | fnmadd-define |
| 2048× | *-lowering-*.f32 |
| 2048× | *-lowering-*.f64 |
| 1668× | fma-define |
| 1282× | distribute-lft-neg-out |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 248 |
| 1 | 100 | 232 |
| 2 | 272 | 232 |
| 3 | 752 | 229 |
| 4 | 1625 | 226 |
| 5 | 2888 | 226 |
| 6 | 5391 | 226 |
| 0 | 9188 | 226 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (- (* x 3) (* x (* x 2)))) |
x |
(- (* x 3) (* x (* x 2))) |
(* x 3) |
3 |
(* x (* x 2)) |
(* x 2) |
2 |
(* x (* x 3)) |
x |
(* x 3) |
3 |
(* x (/ x (/ -1 (+ (* x -2) -3)))) |
x |
(/ x (/ -1 (+ (* x -2) -3))) |
(/ -1 (+ (* x -2) -3)) |
-1 |
(+ (* x -2) -3) |
(* x -2) |
-2 |
-3 |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
x |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))) |
(+ 27 (* (* x (* x x)) -8)) |
27 |
(* (* x (* x x)) -8) |
(* x (* x x)) |
(* x x) |
-8 |
(/ x (+ 9 (* x (+ (* x 4) 6)))) |
(+ 9 (* x (+ (* x 4) 6))) |
9 |
(* x (+ (* x 4) 6)) |
(+ (* x 4) 6) |
(* x 4) |
4 |
6 |
(* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6))))) |
(* (* x x) (+ 27 (* (* x (* x x)) -8))) |
(* x x) |
x |
(+ 27 (* (* x (* x x)) -8)) |
27 |
(* (* x (* x x)) -8) |
(* x (* x x)) |
-8 |
(/ 1 (+ 9 (* x (+ (* x 4) 6)))) |
1 |
(+ 9 (* x (+ (* x 4) 6))) |
9 |
(* x (+ (* x 4) 6)) |
(+ (* x 4) 6) |
(* x 4) |
4 |
6 |
| Outputs |
|---|
(* x (- (* x 3) (* x (* x 2)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
x |
(- (* x 3) (* x (* x 2))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* x (* x 2)) |
(*.f64 #s(literal 2 binary64) (*.f64 x x)) |
(* x 2) |
(*.f64 x #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* x (* x 3)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
x |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(* x (/ x (/ -1 (+ (* x -2) -3)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
x |
(/ x (/ -1 (+ (* x -2) -3))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(/ -1 (+ (* x -2) -3)) |
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64)))) |
-1 |
#s(literal -1 binary64) |
(+ (* x -2) -3) |
(+.f64 #s(literal -3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
-3 |
#s(literal -3 binary64) |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
x |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(+ 27 (* (* x (* x x)) -8)) |
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) |
27 |
#s(literal 27 binary64) |
(* (* x (* x x)) -8) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-8 |
#s(literal -8 binary64) |
(/ x (+ 9 (* x (+ (* x 4) 6)))) |
(/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(+ 9 (* x (+ (* x 4) 6))) |
(+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) |
9 |
#s(literal 9 binary64) |
(* x (+ (* x 4) 6)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) |
(+ (* x 4) 6) |
(+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) |
(* x 4) |
(*.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
6 |
#s(literal 6 binary64) |
(* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(* (* x x) (+ 27 (* (* x (* x x)) -8))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) |
(* x x) |
(*.f64 x x) |
x |
(+ 27 (* (* x (* x x)) -8)) |
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) |
27 |
#s(literal 27 binary64) |
(* (* x (* x x)) -8) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
-8 |
#s(literal -8 binary64) |
(/ 1 (+ 9 (* x (+ (* x 4) 6)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
1 |
#s(literal 1 binary64) |
(+ 9 (* x (+ (* x 4) 6))) |
(+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) |
9 |
#s(literal 9 binary64) |
(* x (+ (* x 4) 6)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) |
(+ (* x 4) 6) |
(+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) |
(* x 4) |
(*.f64 x #s(literal 4 binary64)) |
4 |
#s(literal 4 binary64) |
6 |
#s(literal 6 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) |
| ✓ | accuracy | 72.2% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
| ✓ | accuracy | 91.7% | (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
| ✓ | accuracy | 75.1% | (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
| ✓ | accuracy | 99.6% | (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
| 153.0ms | 216× | 0 | valid |
| 47.0ms | 16× | 2 | valid |
| 42.0ms | 24× | 1 | valid |
Compiled 298 to 38 computations (87.2% saved)
ival-mult: 32.0ms (55.9% of total)ival-div: 10.0ms (17.5% of total)ival-add: 6.0ms (10.5% of total)backward-pass: 5.0ms (8.7% of total)const: 2.0ms (3.5% of total)ival-sub: 2.0ms (3.5% of total)| Inputs |
|---|
#<alt (- (* x 3) (* x (* x 2)))> |
#<alt (* x (- (* x 3) (* x (* x 2))))> |
#<alt (* x 3)> |
#<alt (* x (* x 2))> |
#<alt (* x (* x 3))> |
#<alt (/ x (/ -1 (+ (* x -2) -3)))> |
#<alt (* x (/ x (/ -1 (+ (* x -2) -3))))> |
#<alt (/ -1 (+ (* x -2) -3))> |
#<alt (+ (* x -2) -3)> |
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))))> |
#<alt (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))> |
#<alt (+ 27 (* (* x (* x x)) -8))> |
#<alt (* (* x (* x x)) -8)> |
#<alt (* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6)))))> |
#<alt (* (* x x) (+ 27 (* (* x (* x x)) -8)))> |
#<alt (* x x)> |
#<alt (* x 2)> |
#<alt (* x -2)> |
#<alt (/ x (+ 9 (* x (+ (* x 4) 6))))> |
#<alt (* x (* x x))> |
#<alt (* x (+ (* x 4) 6))> |
| Outputs |
|---|
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 2 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* 2 x)))> |
#<alt (* x (+ 3 (* 2 x)))> |
#<alt (* x (+ 3 (* 2 x)))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 2 (pow x 2))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt 1/3> |
#<alt (+ 1/3 (* -2/9 x))> |
#<alt (+ 1/3 (* x (- (* 4/27 x) 2/9)))> |
#<alt (+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9)))> |
#<alt (/ 1/2 x)> |
#<alt (/ (- 1/2 (* 3/4 (/ 1 x))) x)> |
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x)> |
#<alt (/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x)> |
#<alt (/ 1/2 x)> |
#<alt (* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x))> |
#<alt -3> |
#<alt (- (* -2 x) 3)> |
#<alt (- (* -2 x) 3)> |
#<alt (- (* -2 x) 3)> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 27> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (* -8 (pow x 3))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 27 (pow x 2))> |
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))> |
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))> |
#<alt (* (pow x 2) (+ 27 (* -8 (pow x 3))))> |
#<alt (* -8 (pow x 5))> |
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* -8 (pow x 5))> |
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* 2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* 1/9 x)> |
#<alt (* x (+ 1/9 (* -2/27 x)))> |
#<alt (* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27))))> |
#<alt (* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27))))> |
#<alt (/ 1/4 x)> |
#<alt (/ (- 1/4 (* 3/8 (/ 1 x))) x)> |
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x)> |
#<alt (/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x)> |
#<alt (/ 1/4 x)> |
#<alt (* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* 4 x)))> |
#<alt (* x (+ 6 (* 4 x)))> |
#<alt (* x (+ 6 (* 4 x)))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* 4 (pow x 2))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
#<alt (* (pow x 2) (+ 4 (* 6 (/ 1 x))))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | 0 | (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
| 1.0ms | x | @ | inf | (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
| 1.0ms | x | @ | -inf | (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
| 1.0ms | x | @ | 0 | (* x (- (* x 3) (* x (* x 2)))) |
| 0.0ms | x | @ | 0 | (/ x (/ -1 (+ (* x -2) -3))) |
| 1× | batch-egg-rewrite |
| 3302× | /-lowering-/.f32 |
| 3302× | /-lowering-/.f64 |
| 3094× | *-lowering-*.f32 |
| 3094× | *-lowering-*.f64 |
| 1968× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 161 |
| 1 | 199 | 147 |
| 2 | 1566 | 144 |
| 0 | 8541 | 144 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (* x 3) (* x (* x 2))) |
(* x (- (* x 3) (* x (* x 2)))) |
(* x 3) |
(* x (* x 2)) |
(* x (* x 3)) |
(/ x (/ -1 (+ (* x -2) -3))) |
(* x (/ x (/ -1 (+ (* x -2) -3)))) |
(/ -1 (+ (* x -2) -3)) |
(+ (* x -2) -3) |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6)))))) |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* x (+ (* x 4) 6))))) |
(+ 27 (* (* x (* x x)) -8)) |
(* (* x (* x x)) -8) |
(* (* (* x x) (+ 27 (* (* x (* x x)) -8))) (/ 1 (+ 9 (* x (+ (* x 4) 6))))) |
(* (* x x) (+ 27 (* (* x (* x x)) -8))) |
(* x x) |
(* x 2) |
(* x -2) |
(/ x (+ 9 (* x (+ (* x 4) 6)))) |
(* x (* x x)) |
(* x (+ (* x 4) 6)) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (*.f64 x #s(literal 3 binary64)) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x #s(literal 3 binary64))) |
(+.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (neg.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))))) |
(+.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (neg.f64 (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) |
(-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 8 binary64))) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 x x) x) (/.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) (-.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 x #s(literal 3 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 x #s(literal 3 binary64) (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (+.f64 (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64)))))) |
(fma.f64 #s(literal 3 binary64) x (neg.f64 (-.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x #s(literal 2 binary64)) (*.f64 x #s(literal 3 binary64))) |
(fma.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(fma.f64 (+.f64 (*.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))))) (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
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(*.f64 (*.f64 x (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64)) #s(literal 216 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) (-.f64 #s(literal 36 binary64) (*.f64 x #s(literal 24 binary64)))))) |
(*.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 16 binary64)) #s(literal -36 binary64)) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64)))) |
| 1× | egg-herbie |
| 3062× | *-lowering-*.f32 |
| 3062× | *-lowering-*.f64 |
| 1962× | +-lowering-+.f64 |
| 1962× | +-lowering-+.f32 |
| 1560× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 178 | 1513 |
| 1 | 561 | 1319 |
| 2 | 1405 | 1314 |
| 3 | 3584 | 1311 |
| 0 | 8610 | 1311 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 2 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* 2 x))) |
(* x (+ 3 (* 2 x))) |
(* x (+ 3 (* 2 x))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* 2 (pow x 2)) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
1/3 |
(+ 1/3 (* -2/9 x)) |
(+ 1/3 (* x (- (* 4/27 x) 2/9))) |
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))) |
(/ 1/2 x) |
(/ (- 1/2 (* 3/4 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x) |
(/ 1/2 x) |
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x)) |
-3 |
(- (* -2 x) 3) |
(- (* -2 x) 3) |
(- (* -2 x) 3) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -2 x) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
27 |
(+ 27 (* -8 (pow x 3))) |
(+ 27 (* -8 (pow x 3))) |
(+ 27 (* -8 (pow x 3))) |
(* -8 (pow x 3)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* -8 (pow x 3)) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 27 (pow x 2)) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(* -8 (pow x 5)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* -8 (pow x 5)) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 1/9 x) |
(* x (+ 1/9 (* -2/27 x))) |
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))) |
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))) |
(/ 1/4 x) |
(/ (- 1/4 (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x) |
(/ 1/4 x) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(* 6 x) |
(* x (+ 6 (* 4 x))) |
(* x (+ 6 (* 4 x))) |
(* x (+ 6 (* 4 x))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
| Outputs |
|---|
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ 3 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* x (+ 3 (* 2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* 2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 2 binary64))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* (pow x 2) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* 2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* 2 (pow x 3)) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal 2 binary64))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))) |
1/3 |
#s(literal 1/3 binary64) |
(+ 1/3 (* -2/9 x)) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal -2/9 binary64))) |
(+ 1/3 (* x (- (* 4/27 x) 2/9))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x #s(literal 4/27 binary64))))) |
(+ 1/3 (* x (- (* x (+ 4/27 (* -8/81 x))) 2/9))) |
(+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal -2/9 binary64) (*.f64 x (+.f64 #s(literal 4/27 binary64) (*.f64 x #s(literal -8/81 binary64))))))) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(/ (- 1/2 (* 3/4 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x) |
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (* 3/4 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) |
(/ (- (+ 1/2 (/ 9/8 (pow x 2))) (+ (* 3/4 (/ 1 x)) (* 27/16 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x) |
(/ 1/2 x) |
(/.f64 #s(literal 1/2 binary64) x) |
(* -1 (/ (- (* 3/4 (/ 1 x)) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 9/8 (/ 1 x)) 3/4) x)) 1/2) x)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 9/8 binary64) x) #s(literal -3/4 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/16 (/ 1 x)) 9/8) x)) 3/4) x)) 1/2) x)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/16 binary64) x) #s(literal -9/8 binary64)) x)) x)) x) |
-3 |
#s(literal -3 binary64) |
(- (* -2 x) 3) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(- (* -2 x) 3) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(- (* -2 x) 3) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* -1 (* x (+ 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
27 |
#s(literal 27 binary64) |
(+ 27 (* -8 (pow x 3))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(+ 27 (* -8 (pow x 3))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(+ 27 (* -8 (pow x 3))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* -8 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -8 binary64)))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* 27 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 27 binary64)) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))) |
(* (pow x 2) (+ 27 (* -8 (pow x 3)))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal 8 binary64))))) |
(* -8 (pow x 5)) |
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x))) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x))) |
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8)) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x))) |
(* -8 (pow x 5)) |
(*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 5 binary64))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x x)) x))) |
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(*.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 #s(literal -8 binary64) (/.f64 (/.f64 #s(literal -27 binary64) (*.f64 x 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) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* 1/9 x) |
(*.f64 x #s(literal 1/9 binary64)) |
(* x (+ 1/9 (* -2/27 x))) |
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x #s(literal -2/27 binary64)))) |
(* x (+ 1/9 (* x (- (* 8/243 (pow x 2)) 2/27)))) |
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 (*.f64 x x) #s(literal 8/243 binary64)))))) |
(* x (+ 1/9 (* x (- (* (pow x 2) (+ 8/243 (* -16/729 x))) 2/27)))) |
(*.f64 x (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 #s(literal -2/27 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 8/243 binary64) (*.f64 x #s(literal -16/729 binary64))))))))) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(/ (- 1/4 (* 3/8 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (* 3/8 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x) |
(/ (- (+ 1/4 (/ 27/32 (pow x 3))) (+ (* 3/8 (/ 1 x)) (* 81/64 (/ 1 (pow x 4))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) (/.f64 #s(literal -81/64 binary64) (*.f64 (*.f64 x x) (*.f64 x x)))) x) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(* -1 (/ (- (* 3/8 (/ 1 x)) 1/4) x)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -3/8 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) 3/8) x)) 1/4) x)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 27/32 (/ 1 (pow x 2))) (+ 3/8 (/ 81/64 (pow x 3)))) x)) 1/4) x)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 27/32 binary64) (*.f64 x x)) #s(literal -3/8 binary64)) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x x)))) x)) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(* 6 x) |
(*.f64 x #s(literal 6 binary64)) |
(* x (+ 6 (* 4 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* x (+ 6 (* 4 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* x (+ 6 (* 4 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 4 binary64)))) |
Compiled 37930 to 2942 computations (92.2% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1255 | 6 | 1261 |
| Fresh | 4 | 4 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1262 | 13 | 1275 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 49.2% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ▶ | 99.8% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
| 49.1% | (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) | |
| 71.1% | (*.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) | |
| 67.9% | (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) | |
| ▶ | 71.5% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| 63.1% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| ▶ | 63.1% | (*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | 99.8% | (*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
| ▶ | 71.8% | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
| 99.7% | (*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))) | |
| ✓ | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | 63.1% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 332 to 229 computations (31% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
| ✓ | cost-diff | 128 | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
| 4050× | *-lowering-*.f32 |
| 4050× | *-lowering-*.f64 |
| 2322× | fma-define |
| 1806× | fma-lowering-fma.f32 |
| 1806× | fma-lowering-fma.f64 |
Useful iterations: 13 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 189 |
| 1 | 86 | 170 |
| 2 | 216 | 169 |
| 3 | 475 | 169 |
| 4 | 769 | 169 |
| 5 | 1107 | 169 |
| 6 | 1653 | 169 |
| 7 | 2238 | 169 |
| 8 | 2605 | 168 |
| 9 | 2986 | 168 |
| 10 | 3188 | 168 |
| 11 | 3189 | 168 |
| 12 | 3189 | 168 |
| 13 | 3577 | 166 |
| 14 | 4217 | 166 |
| 15 | 5139 | 166 |
| 16 | 5791 | 166 |
| 17 | 7596 | 166 |
| 18 | 7946 | 166 |
| 0 | 8007 | 166 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ 1 (* x (+ 3 (* x -2))))) |
x |
(/ 1 (* x (+ 3 (* x -2)))) |
1 |
(* x (+ 3 (* x -2))) |
(+ 3 (* x -2)) |
3 |
(* x -2) |
-2 |
(* x (/ x 1/3)) |
x |
(/ x 1/3) |
1/3 |
(* (* x x) (* x -2)) |
(* x x) |
x |
(* x -2) |
-2 |
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
(* x (* x (+ 9 (* (* x x) -4)))) |
x |
(* x (+ 9 (* (* x x) -4))) |
(+ 9 (* (* x x) -4)) |
9 |
(* (* x x) -4) |
(* x x) |
-4 |
(+ 3 (* x -2)) |
3 |
(* x -2) |
-2 |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))) |
x |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))) |
(+ 27 (* (* x (* x x)) -8)) |
27 |
(* (* x (* x x)) -8) |
(* x (* x x)) |
(* x x) |
-8 |
(/ x (+ 9 (* (* x x) 4))) |
(+ 9 (* (* x x) 4)) |
9 |
(* (* x x) 4) |
4 |
| Outputs |
|---|
(/ x (/ 1 (* x (+ 3 (* x -2))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
x |
(/ 1 (* x (+ 3 (* x -2)))) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(* x (+ 3 (* x -2))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(+ 3 (* x -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
3 |
#s(literal 3 binary64) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* x (/ x 1/3)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
x |
(/ x 1/3) |
(/.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
(* (* x x) (* x -2)) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) |
(* x x) |
(*.f64 x x) |
x |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
(/.f64 (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* x (* x (+ 9 (* (* x x) -4)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
x |
(* x (+ 9 (* (* x x) -4))) |
(*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
(+ 9 (* (* x x) -4)) |
(+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) |
9 |
#s(literal 9 binary64) |
(* (* x x) -4) |
(*.f64 (*.f64 x x) #s(literal -4 binary64)) |
(* x x) |
(*.f64 x x) |
-4 |
#s(literal -4 binary64) |
(+ 3 (* x -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
3 |
#s(literal 3 binary64) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))) |
(/.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (+.f64 #s(literal 4 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) |
x |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))) |
(/.f64 (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) (+.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) x))) |
(+ 27 (* (* x (* x x)) -8)) |
(+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))) |
27 |
#s(literal 27 binary64) |
(* (* x (* x x)) -8) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
(* x x) |
(*.f64 x x) |
-8 |
#s(literal -8 binary64) |
(/ x (+ 9 (* (* x x) 4))) |
(/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) x))) |
(+ 9 (* (* x x) 4)) |
(+.f64 #s(literal 9 binary64) (*.f64 x (*.f64 x #s(literal 4 binary64)))) |
9 |
#s(literal 9 binary64) |
(* (* x x) 4) |
(*.f64 x (*.f64 x #s(literal 4 binary64))) |
4 |
#s(literal 4 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
| ✓ | accuracy | 99.9% | (*.f64 x (*.f64 x x)) |
| ✓ | accuracy | 94.8% | (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
| ✓ | accuracy | 83.5% | (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 (*.f64 x x) #s(literal -4 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) |
| ✓ | accuracy | 98.5% | (/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 99.9% | (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| 313.0ms | 82× | 5 | exit |
| 69.0ms | 164× | 0 | valid |
| 11.0ms | 5× | 3 | valid |
| 3.0ms | 3× | 1 | valid |
| 2.0ms | 2× | 2 | valid |
Compiled 221 to 33 computations (85.1% saved)
ival-mult: 71.0ms (35.2% of total)backward-pass: 57.0ms (28.3% of total)...c/correct-round.rkt:119:19: 39.0ms (19.4% of total)ival-div: 22.0ms (10.9% of total)ival-add: 10.0ms (5% of total)const: 2.0ms (1% of total)| Inputs |
|---|
#<alt (/ x (/ 1 (* x (+ 3 (* x -2)))))> |
#<alt (/ 1 (* x (+ 3 (* x -2))))> |
#<alt (* x (+ 3 (* x -2)))> |
#<alt (+ 3 (* x -2))> |
#<alt (* x (/ x 1/3))> |
#<alt (/ x 1/3)> |
#<alt (* (* x x) (* x -2))> |
#<alt (* x x)> |
#<alt (* x -2)> |
#<alt (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2)))> |
#<alt (* x (* x (+ 9 (* (* x x) -4))))> |
#<alt (* x (+ 9 (* (* x x) -4)))> |
#<alt (+ 9 (* (* x x) -4))> |
#<alt (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))))> |
#<alt (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))> |
#<alt (+ 27 (* (* x (* x x)) -8))> |
#<alt (* (* x (* x x)) -8)> |
#<alt (* (* x x) -4)> |
#<alt (/ x (+ 9 (* (* x x) 4)))> |
#<alt (* x (* x x))> |
| Outputs |
|---|
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (/ 1/3 x)> |
#<alt (/ (+ 1/3 (* 2/9 x)) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x)> |
#<alt (/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x)> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2)))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2))> |
#<alt (/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* 3 x)> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* (pow x 2) (+ 3 (* 2 x)))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 2 (pow x 3))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* (pow x 3) (+ 2 (* 3 (/ 1 x))))> |
#<alt (* 9 (pow x 2))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* (pow x 2) (+ 9 (* -4 (pow x 2))))> |
#<alt (* -4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* 9 x)> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* x (+ 9 (* -4 (pow x 2))))> |
#<alt (* -4 (pow x 3))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))> |
#<alt 9> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (+ 9 (* -4 (pow x 2)))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* -4 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))> |
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -4/3 (pow x 2))))> |
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))> |
#<alt (* (pow x 2) (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 2))> |
#<alt (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))> |
#<alt (* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 9/2 (/ 1 (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) (pow x 2))))))> |
#<alt (* -1 (* (pow x 3) (- (+ 2 (* -1 (/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 3)))) (* 9/2 (/ 1 (pow x 2))))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -4/3 (pow x 2))))> |
#<alt (* x (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3))))> |
#<alt (* x (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3))))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))> |
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))> |
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4))))))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2))> |
#<alt (* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) (pow x 3))) (* 9/2 (/ 1 (pow x 2)))) 2))> |
#<alt 27> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (+ 27 (* -8 (pow x 3)))> |
#<alt (* -8 (pow x 3))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -8 (pow x 3))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* -4 (pow x 2))> |
#<alt (* 1/9 x)> |
#<alt (* x (+ 1/9 (* -4/81 (pow x 2))))> |
#<alt (* x (+ 1/9 (* (pow x 2) (- (* 16/729 (pow x 2)) 4/81))))> |
#<alt (* x (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 16/729 (* -64/6561 (pow x 2)))) 4/81))))> |
#<alt (/ 1/4 x)> |
#<alt (/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x)> |
#<alt (/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x)> |
#<alt (/ 1/4 x)> |
#<alt (* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x))> |
#<alt (* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x))> |
#<alt (* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 4)))) x))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
60 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
| 0.0ms | x | @ | 0 | (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
| 0.0ms | x | @ | inf | (/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
| 0.0ms | x | @ | inf | (* (* x x) -4) |
| 0.0ms | x | @ | inf | (* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))) |
| 1× | batch-egg-rewrite |
| 3486× | *-lowering-*.f32 |
| 3486× | *-lowering-*.f64 |
| 3098× | /-lowering-/.f32 |
| 3098× | /-lowering-/.f64 |
| 1642× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 146 |
| 1 | 171 | 124 |
| 2 | 1321 | 123 |
| 0 | 8757 | 123 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x (/ 1 (* x (+ 3 (* x -2))))) |
(/ 1 (* x (+ 3 (* x -2)))) |
(* x (+ 3 (* x -2))) |
(+ 3 (* x -2)) |
(* x (/ x 1/3)) |
(/ x 1/3) |
(* (* x x) (* x -2)) |
(* x x) |
(* x -2) |
(/ (* x (* x (+ 9 (* (* x x) -4)))) (+ 3 (* x -2))) |
(* x (* x (+ 9 (* (* x x) -4)))) |
(* x (+ 9 (* (* x x) -4))) |
(+ 9 (* (* x x) -4)) |
(* x (* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4))))) |
(* (+ 27 (* (* x (* x x)) -8)) (/ x (+ 9 (* (* x x) 4)))) |
(+ 27 (* (* x (* x x)) -8)) |
(* (* x (* x x)) -8) |
(* (* x x) -4) |
(/ x (+ 9 (* (* x x) 4))) |
(* x (* x x)) |
| Outputs |
|---|
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(+.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal -1/3 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x))) |
(fma.f64 x (/.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (/.f64 x #s(literal 1/3 binary64)) x (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(fma.f64 (*.f64 x x) #s(literal 3 binary64) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(neg.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal 1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64))))) (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) (-.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) x) |
(*.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x x))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))))) |
(*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) #s(literal 9 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) #s(literal 9 binary64))) |
(+.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (*.f64 x #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(*.f64 (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64))))) x) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x #s(literal -2 binary64)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (neg.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64))))) |
(+.f64 (/.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 x #s(literal 1/3 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) (/.f64 x #s(literal 1/3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) |
(-.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 x #s(literal -1/3 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal -4 binary64))) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 4 binary64))) (*.f64 x (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(fma.f64 x #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -2 binary64)) (/.f64 x #s(literal 1/3 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/3 binary64)) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal 3 binary64) x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 #s(literal -2 binary64) (*.f64 x x) (/.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 x #s(literal -2 binary64)) x (/.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (*.f64 x x) #s(literal -2 binary64) (/.f64 x #s(literal 1/3 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -3 binary64) (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(neg.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -3 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) (*.f64 x (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
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(*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) x) |
(*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 64 binary64))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 81 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) (+.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal -9 binary64))))))) |
(*.f64 (/.f64 x (-.f64 #s(literal 81 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 16 binary64))))) (-.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))) x) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(*.f64 x (*.f64 x x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 3782× | *-lowering-*.f32 |
| 3782× | *-lowering-*.f64 |
| 1950× | fma-lowering-fma.f32 |
| 1950× | fma-lowering-fma.f64 |
| 1660× | +-lowering-+.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 229 | 1743 |
| 1 | 685 | 1547 |
| 2 | 2016 | 1530 |
| 3 | 6302 | 1517 |
| 0 | 8368 | 1517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(/ 1/3 x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* 3 x) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* 2 (pow x 3)) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* (pow x 3) (+ 2 (* 3 (/ 1 x)))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* (pow x 2) (+ 9 (* -4 (pow x 2)))) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* 9 x) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* x (+ 9 (* -4 (pow x 2)))) |
(* -4 (pow x 3)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 3)) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2)))))) |
9 |
(+ 9 (* -4 (pow x 2))) |
(+ 9 (* -4 (pow x 2))) |
(+ 9 (* -4 (pow x 2))) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* -4 (pow x 2)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -4/3 (pow x 2)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3)))) |
(* (pow x 2) (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3)))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 9/2 (/ 1 (pow x 2))) 2)) |
(* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2)) |
(* (pow x 3) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4)))))) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 9/2 (/ 1 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (+ 9/2 (* 27/4 (/ 1 x))) (pow x 2)))))) |
(* -1 (* (pow x 3) (- (+ 2 (* -1 (/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 3)))) (* 9/2 (/ 1 (pow x 2)))))) |
(* 3 x) |
(* x (+ 3 (* -4/3 (pow x 2)))) |
(* x (+ 3 (* (pow x 2) (- (* -8/9 x) 4/3)))) |
(* x (+ 3 (* (pow x 2) (- (* x (- (* 16/27 x) 8/9)) 4/3)))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2)) |
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2)) |
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) (+ 2 (* 81/8 (/ 1 (pow x 4)))))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 9/2 (/ 1 (pow x 2))) 2)) |
(* (pow x 2) (- (+ (* 9/2 (/ 1 (pow x 2))) (/ 27/4 (pow x 3))) 2)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 81/8 (/ 1 x)) 27/4) (pow x 3))) (* 9/2 (/ 1 (pow x 2)))) 2)) |
27 |
(+ 27 (* -8 (pow x 3))) |
(+ 27 (* -8 (pow x 3))) |
(+ 27 (* -8 (pow x 3))) |
(* -8 (pow x 3)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8)) |
(* -8 (pow x 3)) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3)))))) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -8 (pow x 3)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* -4 (pow x 2)) |
(* 1/9 x) |
(* x (+ 1/9 (* -4/81 (pow x 2)))) |
(* x (+ 1/9 (* (pow x 2) (- (* 16/729 (pow x 2)) 4/81)))) |
(* x (+ 1/9 (* (pow x 2) (- (* (pow x 2) (+ 16/729 (* -64/6561 (pow x 2)))) 4/81)))) |
(/ 1/4 x) |
(/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x) |
(/ 1/4 x) |
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x)) |
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x)) |
(* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 4)))) x)) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
(pow x 3) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x)))) |
(* -2 (pow x 3)) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(/ 1/3 x) |
(/.f64 #s(literal 1/3 binary64) x) |
(/ (+ 1/3 (* 2/9 x)) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x #s(literal 2/9 binary64))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* 4/27 x)))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x #s(literal 4/27 binary64))))) x) |
(/ (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x)))))) x) |
(/.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 x (+.f64 #s(literal 2/9 binary64) (*.f64 x (+.f64 #s(literal 4/27 binary64) (*.f64 x #s(literal 8/81 binary64))))))) x) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (/.f64 (+.f64 #s(literal 9/8 binary64) (/.f64 #s(literal 27/16 binary64) x)) (*.f64 x x))) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -1 (/ (+ 1/2 (* 3/4 (/ 1 x))) (pow x 2))) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -3/4 binary64) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x)) (*.f64 x x)) |
(/ (- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) (pow x 2)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) (/.f64 #s(literal -27/16 binary64) (*.f64 x x))) x)) (*.f64 x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 x x) (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal -2 binary64) (/.f64 #s(literal 3 binary64) x))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -3 binary64) x)))) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* 3 x) |
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(/ (- 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x) |
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (* 9/16 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(/ (- (+ 1/4 (/ 81/64 (pow x 4))) (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) 1/4) x)) |
(/.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x) |
(* -1 (/ (- (* 9/16 (/ 1 (pow x 2))) (+ 1/4 (/ 81/64 (pow x 4)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) x) |
(* -1 (/ (- (+ (* 9/16 (/ 1 (pow x 2))) (* 729/256 (/ 1 (pow x 6)))) (+ 1/4 (/ 81/64 (pow x 4)))) x)) |
(/.f64 (+.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 81/64 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) (/.f64 #s(literal 729/256 binary64) (pow.f64 x #s(literal 6 binary64))))) x) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
(pow x 3) |
(*.f64 x (*.f64 x x)) |
Compiled 26545 to 2838 computations (89.3% saved)
14 alts after pruning (10 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1085 | 8 | 1093 |
| Fresh | 3 | 2 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1092 | 14 | 1106 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
| 77.0% | (/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) | |
| ▶ | 71.5% | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 63.1% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
| 63.1% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) | |
| ▶ | 71.5% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| 71.5% | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64))) | |
| ✓ | 71.5% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ▶ | 63.1% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 63.1% | (*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
| 63.1% | (*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))) | |
| 99.7% | (*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))) | |
| ✓ | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | 63.1% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 226 to 160 computations (29.2% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| ✓ | cost-diff | 0 | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
| 116× | *-lowering-*.f32 |
| 116× | *-lowering-*.f64 |
| 108× | /-lowering-/.f32 |
| 108× | /-lowering-/.f64 |
| 50× | fma-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 80 |
| 1 | 48 | 75 |
| 2 | 90 | 72 |
| 3 | 130 | 72 |
| 4 | 172 | 72 |
| 5 | 213 | 72 |
| 6 | 231 | 72 |
| 7 | 235 | 72 |
| 8 | 236 | 72 |
| 0 | 236 | 72 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (* x (+ 3 (* x -2))) (/ 1 x)) |
(* x (+ 3 (* x -2))) |
x |
(+ 3 (* x -2)) |
3 |
(* x -2) |
-2 |
(/ 1 x) |
1 |
(* (* x x) 3) |
(* x x) |
x |
3 |
(/ (* x x) 1/3) |
(* x x) |
x |
1/3 |
(/ x (/ -1/2 (* x x))) |
x |
(/ -1/2 (* x x)) |
-1/2 |
(* x x) |
(/ (* x (* x -2)) (/ 1 x)) |
(* x (* x -2)) |
x |
(* x -2) |
-2 |
(/ 1 x) |
1 |
| Outputs |
|---|
(/ (* x (+ 3 (* x -2))) (/ 1 x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* x (+ 3 (* x -2))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
x |
(+ 3 (* x -2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
3 |
#s(literal 3 binary64) |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(* (* x x) 3) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(* x x) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(/ (* x x) 1/3) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(* x x) |
(*.f64 x x) |
x |
1/3 |
#s(literal 1/3 binary64) |
(/ x (/ -1/2 (* x x))) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
x |
(/ -1/2 (* x x)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
-1/2 |
#s(literal -1/2 binary64) |
(* x x) |
(*.f64 x x) |
(/ (* x (* x -2)) (/ 1 x)) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(* x (* x -2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
x |
(* x -2) |
(*.f64 x #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.9% | (/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -2 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
| 71.0ms | 235× | 0 | valid |
| 14.0ms | 10× | 2 | valid |
| 8.0ms | 11× | 1 | valid |
Compiled 95 to 19 computations (80% saved)
ival-div: 11.0ms (30.6% of total)ival-mult: 10.0ms (27.8% of total)backward-pass: 7.0ms (19.4% of total)...c/correct-round.rkt:119:19: 4.0ms (11.1% of total)ival-add: 2.0ms (5.6% of total)const: 1.0ms (2.8% of total)| Inputs |
|---|
#<alt (/ (* x (+ 3 (* x -2))) (/ 1 x))> |
#<alt (* x (+ 3 (* x -2)))> |
#<alt (+ 3 (* x -2))> |
#<alt (* x -2)> |
#<alt (* (* x x) 3)> |
#<alt (* x x)> |
#<alt (/ (* x x) 1/3)> |
#<alt (/ x (/ -1/2 (* x x)))> |
#<alt (/ -1/2 (* x x))> |
#<alt (/ (* x (* x -2)) (/ 1 x))> |
#<alt (* x (* x -2))> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<alt (* 3 (pow x 2))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* (pow x 2) (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 3))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 3) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))> |
#<alt (* 3 x)> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* x (+ 3 (* -2 x)))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt (* (pow x 2) (- (* 3 (/ 1 x)) 2))> |
#<alt 3> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (+ 3 (* -2 x))> |
#<alt (* -2 x)> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* x (- (* 3 (/ 1 x)) 2))> |
#<alt (* -2 x)> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -1 (* x (- 2 (* 3 (/ 1 x)))))> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* -2 x)> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (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 (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* 3 (pow x 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (/ -1/2 (pow x 2))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 3))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (* -2 (pow x 2))> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ -1/2 (* x x)) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | inf | (/ -1/2 (* x x)) |
| 0.0ms | x | @ | inf | (* x (* x -2)) |
| 0.0ms | x | @ | 0 | (* x (* x -2)) |
| 1× | batch-egg-rewrite |
| 2918× | *-lowering-*.f32 |
| 2918× | *-lowering-*.f64 |
| 2686× | /-lowering-/.f32 |
| 2686× | /-lowering-/.f64 |
| 1420× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 57 |
| 1 | 104 | 52 |
| 2 | 591 | 50 |
| 3 | 5943 | 50 |
| 0 | 8190 | 50 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x (+ 3 (* x -2))) (/ 1 x)) |
(* x (+ 3 (* x -2))) |
(+ 3 (* x -2)) |
(* x -2) |
(* (* x x) 3) |
(* x x) |
(/ (* x x) 1/3) |
(/ x (/ -1/2 (* x x))) |
(/ -1/2 (* x x)) |
(/ (* x (* x -2)) (/ 1 x)) |
(* x (* x -2)) |
(/ 1 x) |
| Outputs |
|---|
(+.f64 (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) (/.f64 x (/.f64 #s(literal 1/3 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))) |
(neg.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))))))) |
(/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))))) |
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 3 binary64) (/.f64 x #s(literal -1/2 binary64))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -3 binary64)))) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 27 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/8 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal -6 binary64))))) x))) |
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(/.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) |
(*.f64 x (/.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 x (*.f64 x x))) |
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 #s(literal -2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 x #s(literal -1/2 binary64)) (*.f64 x x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) (/.f64 x #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 2 binary64) (*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))) |
(*.f64 (*.f64 x (*.f64 x x)) #s(literal -2 binary64)) |
(*.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 x x)) |
(*.f64 (/.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) x)) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1/2 binary64) x)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(neg.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) x)) |
(/.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (/.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(/.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/2 binary64) x))) |
(/.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) |
(/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/2 binary64) x)) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)) |
(/.f64 (/.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (/.f64 (/.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 x #s(literal -1/2 binary64))) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(*.f64 (/.f64 x #s(literal -1/2 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(*.f64 (/.f64 (*.f64 x x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x x) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) |
(*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 x #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal 2 binary64)) |
(*.f64 (/.f64 x #s(literal 1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (*.f64 (/.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (/.f64 x (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 x (pow.f64 x #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 x))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(pow.f64 x #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 1354× | fmsub-define |
| 1336× | fnmsub-define |
| 1300× | *-lowering-*.f32 |
| 1300× | *-lowering-*.f64 |
| 1262× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 680 |
| 1 | 79 | 581 |
| 2 | 194 | 581 |
| 3 | 553 | 581 |
| 4 | 1474 | 581 |
| 5 | 2778 | 581 |
| 6 | 6008 | 581 |
| 0 | 8284 | 581 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* x (+ 3 (* -2 x))) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(+ 3 (* -2 x)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* -2 x) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* 3 (pow x 2)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(/ -1/2 (pow x 2)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 3)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(* -2 (pow x 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* x (+ 3 (* -2 x))) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(+ 3 (* -2 x)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 x #s(literal -2 binary64)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 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) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* 3 (pow x 2)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(/ -1/2 (pow x 2)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 x x)) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 3)) |
(*.f64 x (*.f64 x (*.f64 x #s(literal -2 binary64)))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(* -2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -2 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
Compiled 15027 to 1869 computations (87.6% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1019 | 5 | 1024 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1025 | 13 | 1038 |
| Status | Accuracy | Program |
|---|---|---|
| 99.7% | (/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) | |
| ✓ | 99.8% | (/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
| 71.5% | (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) | |
| ✓ | 63.1% | (/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
| 71.5% | (/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) | |
| 63.1% | (/.f64 x (/.f64 #s(literal 1/3 binary64) x)) | |
| 62.4% | (/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) | |
| 63.0% | (*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) | |
| ✓ | 71.5% | (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
| ✓ | 63.1% | (*.f64 (*.f64 x x) #s(literal 3 binary64)) |
| ✓ | 63.1% | (*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
| ✓ | 99.8% | (*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
| ✓ | 63.1% | (*.f64 x (*.f64 x #s(literal 3 binary64))) |
Compiled 557 to 194 computations (65.2% saved)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) |
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 x #s(literal -2 binary64))) |
(/.f64 (*.f64 x (*.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 x (-.f64 (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal 2 binary64))))) |
(*.f64 x (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1/3 binary64)) x) #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))))) (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) |
(*.f64 x (*.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (*.f64 x #s(literal -2 binary64)) #s(literal -3 binary64))) x))) |
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64)))))) |
(*.f64 x (*.f64 (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))) (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) |
(*.f64 (/.f64 x (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 x (*.f64 (*.f64 x x) #s(literal -8 binary64)))))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))) |
(*.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))) (*.f64 x (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64))))))) |
(*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 27 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64)))) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) x) (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 (*.f64 x x) (*.f64 (/.f64 (+.f64 #s(literal 9 binary64) (*.f64 (*.f64 x x) #s(literal -4 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -8 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))))))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
2 calls:
| 11.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) |
(/.f64 #s(literal 3 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) |
(/.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 x x))) |
(/.f64 x (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.1b remaining (-0.6%)
Threshold costs -0.1b (-0.6%)
| Inputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
(*.f64 x (/.f64 x #s(literal 1/3 binary64))) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 x (/.f64 #s(literal 1/3 binary64) x)) |
(/.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x (/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.553070242342735e-8 | 943.0873923284815 |
| 14.0ms | -1139.4333277093995 | -4.2103990395837493e-7 |
| 18.0ms | 304× | 0 | valid |
Compiled 318 to 219 computations (31.1% saved)
ival-mult: 6.0ms (75.3% of total)ival-sub: 1.0ms (12.5% of total)const: 1.0ms (12.5% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 5.553070242342735e-8 | 943.0873923284815 |
| 25.0ms | -1139.4333277093995 | -4.2103990395837493e-7 |
| 38.0ms | 304× | 0 | valid |
Compiled 318 to 219 computations (31.1% saved)
ival-mult: 27.0ms (93.6% of total)ival-sub: 2.0ms (6.9% of total)const: 1.0ms (3.5% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 62 |
| 1 | 32 | 62 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 x (*.f64 x (+.f64 #s(literal 3 binary64) (*.f64 x #s(literal -2 binary64))))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) x)))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x x) (*.f64 x #s(literal -2 binary64))))) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 x (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 x x)))) |
(*.f64 x (*.f64 x #s(literal 3 binary64))) |
| 3782× | *-lowering-*.f32 |
| 3782× | *-lowering-*.f64 |
| 3310× | *-lowering-*.f32 |
| 3310× | *-lowering-*.f64 |
| 3302× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 58 | 36 |
| 2 | 449 | 36 |
| 3 | 3729 | 36 |
| 0 | 9154 | 36 |
| 0 | 37 | 161 |
| 1 | 199 | 147 |
| 2 | 1566 | 144 |
| 0 | 8541 | 144 |
| 0 | 229 | 1743 |
| 1 | 685 | 1547 |
| 2 | 2016 | 1530 |
| 3 | 6302 | 1517 |
| 0 | 8368 | 1517 |
| 0 | 7 | 8 |
| 1 | 17 | 8 |
| 2 | 45 | 7 |
| 3 | 120 | 7 |
| 4 | 249 | 7 |
| 5 | 354 | 7 |
| 6 | 540 | 7 |
| 7 | 830 | 7 |
| 8 | 2474 | 7 |
| 9 | 2892 | 7 |
| 10 | 3355 | 7 |
| 11 | 3951 | 7 |
| 12 | 3975 | 7 |
| 0 | 3975 | 7 |
| 0 | 18 | 57 |
| 1 | 104 | 52 |
| 2 | 591 | 50 |
| 3 | 5943 | 50 |
| 0 | 8190 | 50 |
| 0 | 28 | 480 |
| 1 | 79 | 401 |
| 2 | 190 | 401 |
| 3 | 536 | 401 |
| 4 | 1485 | 401 |
| 5 | 2778 | 401 |
| 6 | 6003 | 401 |
| 0 | 8279 | 401 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 193 to 106 computations (45.1% saved)
Compiled 178 to 72 computations (59.6% saved)
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