
Time bar (total: 10.9s)
| 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)| 2.5s | 7620× | 0 | valid |
| 42.0ms | 272× | 2 | valid |
| 42.0ms | 364× | 1 | valid |
ival-mult: 2.2s (96.4% of total)ival-sub: 55.0ms (2.4% of total)const: 16.0ms (0.7% of total)backward-pass: 12.0ms (0.5% of total)| 2× | egg-herbie |
| 1854× | fma-define |
| 1770× | fnmadd-define |
| 1744× | fnmadd-define |
| 1718× | fma-define |
| 1308× | sum3-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 30 |
| 1 | 43 | 27 |
| 2 | 117 | 21 |
| 3 | 432 | 18 |
| 4 | 1483 | 18 |
| 5 | 4146 | 18 |
| 6 | 5812 | 18 |
| 7 | 5872 | 18 |
| 8 | 5898 | 18 |
| 9 | 5898 | 18 |
| 0 | 7 | 9 |
| 1 | 17 | 9 |
| 2 | 42 | 7 |
| 3 | 102 | 6 |
| 4 | 233 | 6 |
| 5 | 389 | 6 |
| 6 | 676 | 6 |
| 7 | 1034 | 6 |
| 8 | 2602 | 6 |
| 9 | 3049 | 6 |
| 10 | 3668 | 6 |
| 11 | 4897 | 6 |
| 12 | 5397 | 6 |
| 13 | 5413 | 6 |
| 14 | 5413 | 6 |
| 0 | 5413 | 6 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(* (* 3 (- 2 (* x 3))) x) |
| Outputs |
|---|
(* (* 3 (- 2 (* x 3))) x) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| Inputs |
|---|
(* (* 3 (- 2 (* x 3))) x) |
(* (* 3 (- 2 (* (neg x) 3))) (neg x)) |
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x))) |
| Outputs |
|---|
(* (* 3 (- 2 (* x 3))) x) |
(* x (fnmsub x 9 -6)) |
(* (* 3 (- 2 (* (neg x) 3))) (neg x)) |
(* x (fnmsub x 9 6)) |
(neg (* (* 3 (- 2 (* (neg x) 3))) (neg x))) |
(* x (fnmsub x -9 -6)) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 3 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| 36.0ms | 424× | 0 | valid |
| 11.0ms | 36× | 2 | valid |
| 7.0ms | 52× | 1 | valid |
Compiled 68 to 23 computations (66.2% saved)
ival-mult: 17.0ms (72.1% of total)ival-sub: 4.0ms (17% of total)backward-pass: 2.0ms (8.5% of total)const: 1.0ms (4.2% of total)Compiled 8 to 6 computations (25% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| ▶ | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
Compiled 18 to 13 computations (27.8% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -9 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| 1854× | fma-define |
| 1770× | fnmadd-define |
| 1308× | sum3-define |
| 1002× | fmsub-define |
| 1000× | fnmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 41 |
| 1 | 31 | 37 |
| 2 | 67 | 36 |
| 3 | 128 | 36 |
| 4 | 254 | 36 |
| 5 | 404 | 36 |
| 6 | 691 | 36 |
| 7 | 1049 | 36 |
| 8 | 2617 | 36 |
| 9 | 3064 | 36 |
| 10 | 3683 | 36 |
| 11 | 4914 | 36 |
| 12 | 5414 | 36 |
| 13 | 5430 | 36 |
| 14 | 5430 | 36 |
| 0 | 5430 | 36 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* x (+ 6 (* x -9))) |
x |
(+ 6 (* x -9)) |
6 |
(* x -9) |
-9 |
(* (* 3 (- 2 (* x 3))) x) |
(* 3 (- 2 (* x 3))) |
3 |
(- 2 (* x 3)) |
2 |
(* x 3) |
x |
| Outputs |
|---|
(* x (+ 6 (* x -9))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
x |
(+ 6 (* x -9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
6 |
#s(literal 6 binary64) |
(* x -9) |
(*.f64 x #s(literal -9 binary64)) |
-9 |
#s(literal -9 binary64) |
(* (* 3 (- 2 (* x 3))) x) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* 3 (- 2 (* x 3))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
3 |
#s(literal 3 binary64) |
(- 2 (* x 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
2 |
#s(literal 2 binary64) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -9 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
| ✓ | accuracy | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| 24.0ms | 212× | 0 | valid |
| 6.0ms | 18× | 2 | valid |
| 6.0ms | 26× | 1 | valid |
Compiled 47 to 13 computations (72.3% saved)
ival-mult: 12.0ms (69.2% of total)ival-add: 2.0ms (11.5% of total)ival-sub: 2.0ms (11.5% of total)const: 1.0ms (5.8% of total)backward-pass: 1.0ms (5.8% of total)| Inputs |
|---|
#<alt (* x (+ 6 (* x -9)))> |
#<alt (+ 6 (* x -9))> |
#<alt (* x -9)> |
#<alt (* (* 3 (- 2 (* x 3))) x)> |
#<alt (* 3 (- 2 (* x 3)))> |
#<alt (- 2 (* x 3))> |
#<alt (* x 3)> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 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)> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | inf | (* x -9) |
| 1.0ms | x | @ | inf | (* (* 3 (- 2 (* x 3))) x) |
| 1.0ms | x | @ | inf | (* x (+ 6 (* x -9))) |
| 1.0ms | x | @ | -inf | (* x (+ 6 (* x -9))) |
| 1.0ms | x | @ | 0 | (* (* 3 (- 2 (* x 3))) x) |
| 1× | batch-egg-rewrite |
| 3688× | *-lowering-*.f32 |
| 3688× | *-lowering-*.f64 |
| 1662× | fma-lowering-fma.f32 |
| 1662× | fma-lowering-fma.f64 |
| 1614× | fmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 35 |
| 1 | 59 | 31 |
| 2 | 419 | 30 |
| 3 | 3704 | 30 |
| 0 | 8446 | 30 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x (+ 6 (* x -9))) |
(+ 6 (* x -9)) |
(* x -9) |
(* (* 3 (- 2 (* x 3))) x) |
(* 3 (- 2 (* x 3))) |
(- 2 (* x 3)) |
(* x 3) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(-.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (/.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(fma.f64 x #s(literal 6 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 x (*.f64 x #s(literal -9 binary64)) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 6 binary64) x (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal -9 binary64) (*.f64 x x) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal -9 binary64)) x (*.f64 x #s(literal 6 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(fma.f64 (*.f64 x x) #s(literal -9 binary64) (*.f64 x #s(literal 6 binary64))) |
(fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)) (-.f64 (*.f64 #s(literal 36 binary64) (*.f64 x x)) (*.f64 (*.f64 x #s(literal -54 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))) (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64)))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) |
(/.f64 (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (+.f64 #s(literal 36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) (neg.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (neg.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (-.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal 36 binary64) (*.f64 x x))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
(/.f64 (*.f64 x (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64))) #s(literal -216 binary64))) (+.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 81 binary64)) #s(literal -54 binary64)))) #s(literal -36 binary64))) |
(/.f64 (*.f64 x (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64))) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal 24 binary64) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal 12 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(/.f64 (*.f64 #s(literal 3 binary64) (*.f64 x (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
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(/.f64 (*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))))) |
(/.f64 (*.f64 (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) |
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 (*.f64 x #s(literal -3 binary64)) (-.f64 (*.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))))) |
(*.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) |
(*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) #s(literal -4 binary64)))) |
(*.f64 (+.f64 #s(literal -4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64)))) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 6 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (-.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))))) (-.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 16 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 x (*.f64 x #s(literal 9 binary64)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (-.f64 #s(literal 512 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) #s(literal 19683 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64))))) (+.f64 #s(literal 64 binary64) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) |
(*.f64 x #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) x) |
| 1× | egg-herbie |
| 1948× | *-lowering-*.f32 |
| 1948× | *-lowering-*.f64 |
| 1236× | sum5-define |
| 1174× | fmsub-define |
| 1144× | fnmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 380 |
| 1 | 87 | 335 |
| 2 | 186 | 335 |
| 3 | 458 | 335 |
| 4 | 1124 | 335 |
| 5 | 1655 | 335 |
| 6 | 3366 | 335 |
| 0 | 8319 | 335 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 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) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
Compiled 11104 to 1016 computations (90.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 515 | 10 | 525 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 0 | 0 |
| Total | 516 | 11 | 527 |
| Status | Accuracy | Program |
|---|---|---|
| 90.6% | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) | |
| 99.6% | (/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) | |
| ▶ | 99.6% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
| ▶ | 98.9% | (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x) |
| 99.7% | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) | |
| 98.7% | (*.f64 (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x)) | |
| ▶ | 99.7% | (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
| 47.8% | (*.f64 (*.f64 x #s(literal -9 binary64)) x) | |
| ▶ | 47.7% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ▶ | 55.2% | (*.f64 x #s(literal 6 binary64)) |
Compiled 228 to 166 computations (27.2% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x #s(literal 81 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -9 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -3 binary64)) |
| ✓ | cost-diff | 128 | (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | cost-diff | 128 | (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
| 2946× | fma-define |
| 2220× | fma-lowering-fma.f32 |
| 2220× | fma-lowering-fma.f64 |
| 1712× | sum3-define |
| 1572× | fmsub-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 131 |
| 1 | 64 | 121 |
| 2 | 113 | 113 |
| 3 | 237 | 113 |
| 4 | 459 | 113 |
| 5 | 653 | 113 |
| 6 | 1082 | 113 |
| 7 | 1870 | 113 |
| 8 | 5154 | 113 |
| 9 | 6724 | 113 |
| 0 | 8251 | 113 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (- 2 (* x 3))) 3) |
(* x (- 2 (* x 3))) |
x |
(- 2 (* x 3)) |
2 |
(* x 3) |
3 |
(* x 6) |
x |
6 |
(* (* 3 (* x -3)) x) |
(* 3 (* x -3)) |
3 |
(* x -3) |
x |
-3 |
(/ x (/ 1 (+ 6 (* x -9)))) |
x |
(/ 1 (+ 6 (* x -9))) |
1 |
(+ 6 (* x -9)) |
6 |
(* x -9) |
-9 |
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) |
(+ (* x (* x 81)) -36) |
(* x (* x 81)) |
x |
(* x 81) |
81 |
-36 |
(+ (* x -9) -6) |
(* x -9) |
-9 |
-6 |
| Outputs |
|---|
(* (* x (- 2 (* x 3))) 3) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) |
(* x (- 2 (* x 3))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64)))) |
x |
(- 2 (* x 3)) |
(+.f64 #s(literal 2 binary64) (/.f64 x #s(literal -1/3 binary64))) |
2 |
#s(literal 2 binary64) |
(* x 3) |
(/.f64 x #s(literal 1/3 binary64)) |
3 |
#s(literal 3 binary64) |
(* x 6) |
(*.f64 x #s(literal 6 binary64)) |
x |
6 |
#s(literal 6 binary64) |
(* (* 3 (* x -3)) x) |
(/.f64 (*.f64 x x) #s(literal -1/9 binary64)) |
(* 3 (* x -3)) |
(/.f64 x #s(literal -1/9 binary64)) |
3 |
#s(literal 3 binary64) |
(* x -3) |
(/.f64 x #s(literal -1/3 binary64)) |
x |
-3 |
#s(literal -3 binary64) |
(/ x (/ 1 (+ 6 (* x -9)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) |
x |
(/ 1 (+ 6 (* x -9))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 6 (* x -9)) |
(+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64))) |
6 |
#s(literal 6 binary64) |
(* x -9) |
(/.f64 x #s(literal -1/9 binary64)) |
-9 |
#s(literal -9 binary64) |
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
(/.f64 (*.f64 x (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64))) (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64)))) |
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) |
(/.f64 (+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64)) (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64)))) |
(+ (* x (* x 81)) -36) |
(+.f64 (*.f64 #s(literal 81 binary64) (*.f64 x x)) #s(literal -36 binary64)) |
(* x (* x 81)) |
(*.f64 #s(literal 81 binary64) (*.f64 x x)) |
x |
(* x 81) |
(*.f64 x #s(literal 81 binary64)) |
81 |
#s(literal 81 binary64) |
-36 |
#s(literal -36 binary64) |
(+ (* x -9) -6) |
(-.f64 #s(literal -6 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(* x -9) |
(/.f64 x #s(literal -1/9 binary64)) |
-9 |
#s(literal -9 binary64) |
-6 |
#s(literal -6 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x) |
| ✓ | accuracy | 99.7% | (*.f64 x (*.f64 x #s(literal 81 binary64))) |
| ✓ | accuracy | 79.3% | (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -9 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -3 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
| ✓ | accuracy | 99.7% | (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 6 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
| 110.0ms | 186× | 0 | valid |
| 73.0ms | 29× | 2 | valid |
| 20.0ms | 39× | 1 | valid |
| 2.0ms | 2× | 3 | valid |
Compiled 136 to 29 computations (78.7% saved)
ival-mult: 24.0ms (49.9% of total)ival-div: 8.0ms (16.6% of total)backward-pass: 6.0ms (12.5% of total)ival-add: 6.0ms (12.5% of total)const: 2.0ms (4.2% of total)ival-sub: 2.0ms (4.2% of total)| Inputs |
|---|
#<alt (* (* x (- 2 (* x 3))) 3)> |
#<alt (* x (- 2 (* x 3)))> |
#<alt (- 2 (* x 3))> |
#<alt (* x 3)> |
#<alt (* x 6)> |
#<alt (* (* 3 (* x -3)) x)> |
#<alt (* 3 (* x -3))> |
#<alt (* x -3)> |
#<alt (/ x (/ 1 (+ 6 (* x -9))))> |
#<alt (/ 1 (+ 6 (* x -9)))> |
#<alt (+ 6 (* x -9))> |
#<alt (* x -9)> |
#<alt (* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x)> |
#<alt (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6))> |
#<alt (+ (* x (* x 81)) -36)> |
#<alt (* x (* x 81))> |
#<alt (+ (* x -9) -6)> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* 2 x)> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* x (+ 2 (* -3 x)))> |
#<alt (* -3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 (pow x 2))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt (* (pow x 2) (- (* 2 (/ 1 x)) 3))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 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 (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 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 (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* x (+ 1/4 (* 3/8 x))))> |
#<alt (+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)> |
#<alt (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)> |
#<alt (/ -1/9 x)> |
#<alt (* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))> |
#<alt (* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 6> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (+ 6 (* -9 x))> |
#<alt (* -9 x)> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* x (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (- 9 (* 6 (/ 1 x)))))> |
#<alt -36> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (- (* 81 (pow x 2)) 36)> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 2))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt (* 81 (pow x 2))> |
#<alt -6> |
#<alt (- (* -9 x) 6)> |
#<alt (- (* -9 x) 6)> |
#<alt (- (* -9 x) 6)> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -9 x)> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
#<alt (* -1 (* x (+ 9 (* 6 (/ 1 x)))))> |
51 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
| 1.0ms | x | @ | inf | (* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
| 0.0ms | x | @ | -inf | (* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
| 0.0ms | x | @ | 0 | (* (* 3 (* x -3)) x) |
| 0.0ms | x | @ | inf | (* x 6) |
| 1× | batch-egg-rewrite |
| 3962× | *-lowering-*.f32 |
| 3962× | *-lowering-*.f64 |
| 3738× | /-lowering-/.f32 |
| 3738× | /-lowering-/.f64 |
| 1812× | frac-times |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 96 |
| 1 | 138 | 87 |
| 2 | 940 | 76 |
| 0 | 8575 | 76 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (* x (- 2 (* x 3))) 3) |
(* x (- 2 (* x 3))) |
(- 2 (* x 3)) |
(* x 3) |
(* x 6) |
(* (* 3 (* x -3)) x) |
(* 3 (* x -3)) |
(* x -3) |
(/ x (/ 1 (+ 6 (* x -9)))) |
(/ 1 (+ 6 (* x -9))) |
(+ 6 (* x -9)) |
(* x -9) |
(* (/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) x) |
(/ (+ (* x (* x 81)) -36) (+ (* x -9) -6)) |
(+ (* x (* x 81)) -36) |
(* x (* x 81)) |
(+ (* x -9) -6) |
| Outputs |
|---|
(+.f64 (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 x #s(literal 6 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64))) |
(+.f64 (*.f64 x (*.f64 x #s(literal -9 binary64))) (*.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 x (*.f64 x #s(literal -9 binary64)))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64))))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 6 binary64)))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64))))) |
(+.f64 (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))) (*.f64 (/.f64 (*.f64 x (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (+.f64 #s(literal 216 binary64) (*.f64 #s(literal 729 binary64) (*.f64 x (*.f64 x x))))) (*.f64 x (*.f64 x #s(literal 81 binary64))))) |
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(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64))))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 531441 binary64))) #s(literal -46656 binary64)) (/.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) (+.f64 #s(literal 1296 binary64) (*.f64 (*.f64 x x) #s(literal 2916 binary64))))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal -6 binary64) (*.f64 x #s(literal 9 binary64))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (+.f64 #s(literal 216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x #s(literal -9 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))))) |
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 6561 binary64))) #s(literal -1296 binary64)) (/.f64 (+.f64 #s(literal -36 binary64) (*.f64 x (*.f64 x #s(literal 81 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal -729 binary64)) #s(literal -216 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal 36 binary64))) (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) (+.f64 #s(literal 36 binary64) (*.f64 x #s(literal -54 binary64)))))) |
| 1× | egg-herbie |
| 2042× | sum3-define |
| 2030× | *-lowering-*.f32 |
| 2030× | *-lowering-*.f64 |
| 1448× | fma-lowering-fma.f32 |
| 1448× | fma-lowering-fma.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 978 |
| 1 | 286 | 905 |
| 2 | 712 | 899 |
| 3 | 1599 | 899 |
| 4 | 3142 | 899 |
| 5 | 7943 | 899 |
| 0 | 8717 | 899 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* 2 x) |
(* x (+ 2 (* -3 x))) |
(* x (+ 2 (* -3 x))) |
(* x (+ 2 (* -3 x))) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* -3 (pow x 2)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 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) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 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) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
1/6 |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/ -1/9 x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
6 |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(+ 6 (* -9 x)) |
(* -9 x) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(* -9 x) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
-36 |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(- (* 81 (pow x 2)) 36) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 2)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
(* 81 (pow x 2)) |
-6 |
(- (* -9 x) 6) |
(- (* -9 x) 6) |
(- (* -9 x) 6) |
(* -9 x) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -9 x) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* x (+ 2 (* -3 x))) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* -3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* -3 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -3 binary64))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
(* (pow x 2) (- (* 2 (/ 1 x)) 3)) |
(*.f64 x (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(+ 2 (* -3 x)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/4 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(+ 1/6 (* x (+ 1/4 (* 3/8 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x #s(literal 3/8 binary64))))) |
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x)))))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x (+.f64 #s(literal 1/4 binary64) (*.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 x #s(literal 9/16 binary64))))))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x) |
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -2/27 binary64) x)) x) |
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x)) |
(/.f64 (+.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal -2/27 binary64) (/.f64 #s(literal -4/81 binary64) x)) x)) x) |
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x)) |
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (+.f64 #s(literal 2/27 binary64) (/.f64 (+.f64 #s(literal 4/81 binary64) (/.f64 #s(literal 8/243 binary64) x)) x)) x)) x) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
6 |
#s(literal 6 binary64) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(+ 6 (* -9 x)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* x (- (* 6 (/ 1 x)) 9)) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
(* -1 (* x (- 9 (* 6 (/ 1 x))))) |
(+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))) |
-36 |
#s(literal -36 binary64) |
(- (* 81 (pow x 2)) 36) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(- (* 81 (pow x 2)) 36) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2))))) |
(+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
(* 81 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 81 binary64))) |
-6 |
#s(literal -6 binary64) |
(- (* -9 x) 6) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(- (* -9 x) 6) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(- (* -9 x) 6) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
(* -1 (* x (+ 9 (* 6 (/ 1 x))))) |
(+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64)) |
Compiled 39844 to 3015 computations (92.4% saved)
11 alts after pruning (9 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1595 | 6 | 1601 |
| Fresh | 2 | 3 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1601 | 11 | 1612 |
| Status | Accuracy | Program |
|---|---|---|
| 90.6% | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) | |
| ▶ | 47.8% | (/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 47.7% | (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
| 53.8% | (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) | |
| ▶ | 55.1% | (/.f64 x #s(literal 1/6 binary64)) |
| 55.2% | (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) | |
| ▶ | 99.7% | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
| ▶ | 47.8% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| 47.8% | (*.f64 (*.f64 x #s(literal -9 binary64)) x) | |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ✓ | 55.2% | (*.f64 x #s(literal 6 binary64)) |
Compiled 152 to 109 computations (28.3% saved)
| 1× | egg-herbie |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -9 binary64)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 x #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
| 1622× | fma-define |
| 1532× | fnmadd-define |
| 1224× | sum3-define |
| 1140× | fmsub-define |
| 1098× | fnmsub-define |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 58 |
| 1 | 39 | 58 |
| 2 | 73 | 56 |
| 3 | 152 | 55 |
| 4 | 320 | 54 |
| 5 | 532 | 54 |
| 6 | 885 | 54 |
| 7 | 1315 | 54 |
| 8 | 3050 | 54 |
| 9 | 3579 | 54 |
| 10 | 4269 | 54 |
| 11 | 5317 | 54 |
| 12 | 5682 | 54 |
| 13 | 5933 | 54 |
| 14 | 6013 | 54 |
| 15 | 6013 | 54 |
| 0 | 6013 | 54 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(* (- 2 (* x 3)) (* x 3)) |
(- 2 (* x 3)) |
2 |
(* x 3) |
x |
3 |
(/ x 1/6) |
x |
1/6 |
(* (* x x) -9) |
(* x x) |
x |
-9 |
(/ x (/ -1/9 x)) |
x |
(/ -1/9 x) |
-1/9 |
(/ (* x -9) (/ 1 x)) |
(* x -9) |
x |
-9 |
(/ 1 x) |
1 |
| Outputs |
|---|
(* (- 2 (* x 3)) (* x 3)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (/.f64 x #s(literal -1/9 binary64)))) |
(- 2 (* x 3)) |
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -3 binary64))) |
2 |
#s(literal 2 binary64) |
(* x 3) |
(*.f64 x #s(literal 3 binary64)) |
x |
3 |
#s(literal 3 binary64) |
(/ x 1/6) |
(/.f64 x #s(literal 1/6 binary64)) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* (* x x) -9) |
(/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
(* x x) |
(*.f64 x x) |
x |
-9 |
#s(literal -9 binary64) |
(/ x (/ -1/9 x)) |
(/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
x |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
-1/9 |
#s(literal -1/9 binary64) |
(/ (* x -9) (/ 1 x)) |
(/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
(* x -9) |
(/.f64 x #s(literal -1/9 binary64)) |
x |
-9 |
#s(literal -9 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
Found 11 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -9 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | accuracy | 99.6% | (/.f64 #s(literal -1/9 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x x) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 x #s(literal 1/6 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 3 binary64)) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
| 114.0ms | 76× | 5 | exit |
| 44.0ms | 180× | 0 | valid |
Compiled 63 to 19 computations (69.8% saved)
ival-div: 33.0ms (31.7% of total)backward-pass: 26.0ms (25% of total)...c/correct-round.rkt:119:19: 25.0ms (24% of total)ival-mult: 16.0ms (15.4% of total)ival-sub: 3.0ms (2.9% of total)const: 1.0ms (1% of total)| Inputs |
|---|
#<alt (* (- 2 (* x 3)) (* x 3))> |
#<alt (- 2 (* x 3))> |
#<alt (* x 3)> |
#<alt (/ x 1/6)> |
#<alt (* (* x x) -9)> |
#<alt (* x x)> |
#<alt (/ x (/ -1/9 x))> |
#<alt (/ -1/9 x)> |
#<alt (/ (* x -9) (/ 1 x))> |
#<alt (* x -9)> |
#<alt (/ 1 x)> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt 2> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (+ 2 (* -3 x))> |
#<alt (* -3 x)> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* x (- (* 2 (/ 1 x)) 3))> |
#<alt (* -3 x)> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 1 x)))))> |
#<alt (* -1 (* x (- 3 (* 2 (/ 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 (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (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 (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (/ -1/9 x)> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
33 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ -1/9 x) |
| 0.0ms | x | @ | inf | (/ -1/9 x) |
| 0.0ms | x | @ | -inf | (/ -1/9 x) |
| 0.0ms | x | @ | -inf | (/ 1 x) |
| 0.0ms | x | @ | inf | (* x x) |
| 1× | batch-egg-rewrite |
| 4306× | *-lowering-*.f32 |
| 4306× | *-lowering-*.f64 |
| 3128× | /-lowering-/.f32 |
| 3128× | /-lowering-/.f64 |
| 2136× | +-lowering-+.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 46 |
| 1 | 87 | 46 |
| 2 | 442 | 44 |
| 3 | 3460 | 44 |
| 0 | 10067 | 44 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (- 2 (* x 3)) (* x 3)) |
(- 2 (* x 3)) |
(* x 3) |
(/ x 1/6) |
(* (* x x) -9) |
(* x x) |
(/ x (/ -1/9 x)) |
(/ -1/9 x) |
(/ (* x -9) (/ 1 x)) |
(* x -9) |
(/ 1 x) |
| Outputs |
|---|
(+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 x #s(literal 1/6 binary64))) |
(+.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(-.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal 1/9 binary64) x))) |
(fma.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 x #s(literal 6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (/.f64 x #s(literal -1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -6 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal 6 binary64) x (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 #s(literal -6 binary64) (-.f64 #s(literal 0 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 x #s(literal 1/6 binary64)) #s(literal 1/2 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (/.f64 (*.f64 x (-.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (/.f64 (*.f64 x x) #s(literal 1/36 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64)) (*.f64 (/.f64 x #s(literal 1/6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x)))))) |
(/.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))))) (+.f64 #s(literal 4 binary64) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64))) (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 x (-.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x (*.f64 #s(literal 3 binary64) (+.f64 #s(literal 8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 4 binary64)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (/.f64 (*.f64 x x) #s(literal 1/36 binary64)) (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal 81 binary64))) (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64)))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64))) |
(/.f64 (*.f64 (*.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x)))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64)))) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 (+.f64 #s(literal -8 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64))) (*.f64 x #s(literal 3 binary64))) (+.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal 6 binary64)))) #s(literal -4 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -4 binary64) (/.f64 x (/.f64 #s(literal 1/9 binary64) x))) (*.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal -6 binary64) x) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)) (/.f64 x (/.f64 #s(literal -1/9 binary64) x))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (-.f64 #s(literal -6 binary64) (/.f64 x #s(literal -1/9 binary64))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1/6 binary64) x)) #s(literal 1/9 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1/9 binary64)) (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) x)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x))) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1/6 binary64)) x) #s(literal 1/6 binary64)) |
(/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) x)) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 (/.f64 #s(literal 1/9 binary64) x) x) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 #s(literal -1/6 binary64) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -1/9 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal 1/9 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) #s(literal -1/6 binary64)) x) #s(literal 1/6 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) x)) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal 1/9 binary64) x)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/6 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal -1/9 binary64)) (/.f64 #s(literal -1/6 binary64) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x #s(literal -1/9 binary64)) (/.f64 #s(literal 1/6 binary64) x)) (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 #s(literal 3/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1/6 binary64) x)) #s(literal -1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1/6 binary64) x)) #s(literal 1/9 binary64)) (*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/6 binary64) x))) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1/6 binary64))) |
(/.f64 (+.f64 (*.f64 x #s(literal -1/6 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 0 binary64) x))) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/6 binary64))) |
(/.f64 (+.f64 x (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 x #s(literal 1/6 binary64)))) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 6 binary64))) (/.f64 #s(literal -1/9 binary64) (*.f64 x x))) |
(/.f64 (+.f64 (*.f64 x (/.f64 #s(literal -1 binary64) x)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -6 binary64))) (/.f64 (/.f64 #s(literal 1/9 binary64) x) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 #s(literal -6 binary64) x))) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 6 binary64)))) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/9 binary64) (-.f64 #s(literal 0 binary64) x))) #s(literal 1/54 binary64)) |
(/.f64 (+.f64 (*.f64 x x) (*.f64 #s(literal -1/9 binary64) (/.f64 x #s(literal 1/6 binary64)))) #s(literal -1/9 binary64)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64)) (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (/.f64 #s(literal -1 binary64) x)) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/9 binary64) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64)) (*.f64 #s(literal -1/9 binary64) (*.f64 #s(literal -6 binary64) x))) #s(literal 1/9 binary64)) |
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(pow.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 x #s(literal -9 binary64)) |
(*.f64 #s(literal -9 binary64) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1/9 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal 1/9 binary64))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 9 binary64)) |
(*.f64 (/.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) |
(*.f64 (/.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 9 binary64) (-.f64 #s(literal 0 binary64) x)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1/2 binary64))) |
(exp.f64 (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(-.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 x x) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal -1 binary64)) (log.f64 x)) |
(*.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))) |
| 1× | egg-herbie |
| 1958× | *-lowering-*.f32 |
| 1958× | *-lowering-*.f64 |
| 1306× | fma-lowering-fma.f32 |
| 1306× | fma-lowering-fma.f64 |
| 1268× | fmsub-define |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 512 |
| 1 | 74 | 494 |
| 2 | 139 | 494 |
| 3 | 295 | 494 |
| 4 | 720 | 494 |
| 5 | 964 | 494 |
| 6 | 1936 | 494 |
| 7 | 6043 | 494 |
| 0 | 8062 | 494 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
2 |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(+ 2 (* -3 x)) |
(* -3 x) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(* -3 x) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(* -1 (* x (- 3 (* 2 (/ 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) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (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) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(/ -1/9 x) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3 x)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(+ 2 (* -3 x)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(+ 2 (* -3 x)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* x (- (* 2 (/ 1 x)) 3)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* x (- (* 2 (/ 1 x)) 3)) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* -3 x) |
(*.f64 x #s(literal -3 binary64)) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- 3 (* 2 (/ 1 x))))) |
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 3 x) |
(*.f64 x #s(literal 3 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 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) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(/ -1/9 x) |
(/.f64 #s(literal -1/9 binary64) x) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 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 11102 to 1698 computations (84.7% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 852 | 2 | 854 |
| Fresh | 0 | 4 | 4 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 852 | 13 | 865 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.7% | (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64)) |
| 90.6% | (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) | |
| ✓ | 47.8% | (/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 47.7% | (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
| ▶ | 53.8% | (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
| ✓ | 55.1% | (/.f64 x #s(literal 1/6 binary64)) |
| ▶ | 55.2% | (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ▶ | 55.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
| ✓ | 99.7% | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
| ✓ | 47.8% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ▶ | 47.8% | (*.f64 (*.f64 x #s(literal -9 binary64)) x) |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ✓ | 55.2% | (*.f64 x #s(literal 6 binary64)) |
Compiled 154 to 114 computations (26% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/6 binary64) x) |
| ✓ | cost-diff | 128 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -9 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x #s(literal -9 binary64)) x) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | cost-diff | 128 | (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) |
| ✓ | cost-diff | 256 | (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64)) |
| 74× | *-lowering-*.f32 |
| 74× | *-lowering-*.f64 |
| 56× | fma-define |
| 52× | fma-lowering-fma.f32 |
| 52× | fma-lowering-fma.f64 |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 78 |
| 1 | 40 | 74 |
| 2 | 56 | 72 |
| 3 | 64 | 72 |
| 4 | 67 | 72 |
| 5 | 68 | 72 |
| 6 | 76 | 72 |
| 7 | 92 | 72 |
| 8 | 104 | 71 |
| 9 | 118 | 70 |
| 10 | 123 | 70 |
| 0 | 123 | 70 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54) |
(+ (* (* x x) 1/6) (* -1/9 x)) |
(* (* x x) 1/6) |
(* x x) |
x |
1/6 |
(* -1/9 x) |
-1/9 |
-1/54 |
(* (* x -9) x) |
(* x -9) |
x |
-9 |
(/ 1 (/ 1/6 x)) |
1 |
(/ 1/6 x) |
1/6 |
x |
(/ 6 (/ 1 x)) |
6 |
(/ 1 x) |
1 |
x |
(/ x (+ 1/6 (* x 1/4))) |
x |
(+ 1/6 (* x 1/4)) |
1/6 |
(* x 1/4) |
1/4 |
| Outputs |
|---|
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(+ (* (* x x) 1/6) (* -1/9 x)) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (* x x) 1/6) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* x x) |
(*.f64 x x) |
x |
1/6 |
#s(literal 1/6 binary64) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
-1/9 |
#s(literal -1/9 binary64) |
-1/54 |
#s(literal -1/54 binary64) |
(* (* x -9) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(* x -9) |
(*.f64 x #s(literal -9 binary64)) |
x |
-9 |
#s(literal -9 binary64) |
(/ 1 (/ 1/6 x)) |
(*.f64 x #s(literal 6 binary64)) |
1 |
#s(literal 1 binary64) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
1/6 |
#s(literal 1/6 binary64) |
x |
(/ 6 (/ 1 x)) |
(*.f64 x #s(literal 6 binary64)) |
6 |
#s(literal 6 binary64) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ x (+ 1/6 (* x 1/4))) |
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
x |
(+ 1/6 (* x 1/4)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
1/6 |
#s(literal 1/6 binary64) |
(* x 1/4) |
(*.f64 x #s(literal 1/4 binary64)) |
1/4 |
#s(literal 1/4 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
| ✓ | accuracy | 99.9% | (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1/6 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 x #s(literal -9 binary64)) |
| ✓ | accuracy | 99.8% | (*.f64 (*.f64 x #s(literal -9 binary64)) x) |
| ✓ | accuracy | 100.0% | (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) |
| ✓ | accuracy | 99.7% | (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) |
| ✓ | accuracy | 99.7% | (/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64)) |
| ✓ | accuracy | 99.6% | (*.f64 #s(literal -1/9 binary64) x) |
| 210.0ms | 76× | 5 | exit |
| 46.0ms | 180× | 0 | valid |
Compiled 87 to 23 computations (73.6% saved)
...c/correct-round.rkt:119:19: 64.0ms (43.6% of total)ival-div: 39.0ms (26.5% of total)ival-mult: 22.0ms (15% of total)backward-pass: 14.0ms (9.5% of total)ival-add: 7.0ms (4.8% of total)const: 1.0ms (0.7% of total)| Inputs |
|---|
#<alt (/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54)> |
#<alt (+ (* (* x x) 1/6) (* -1/9 x))> |
#<alt (* (* x x) 1/6)> |
#<alt (* x x)> |
#<alt (* (* x -9) x)> |
#<alt (* x -9)> |
#<alt (/ 1 (/ 1/6 x))> |
#<alt (/ 1/6 x)> |
#<alt (/ 6 (/ 1 x))> |
#<alt (/ 1 x)> |
#<alt (/ x (+ 1/6 (* x 1/4)))> |
#<alt (+ 1/6 (* x 1/4))> |
#<alt (* x 1/4)> |
#<alt (* -1/9 x)> |
| Outputs |
|---|
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -9 (pow x 2))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* (pow x 2) (- (* 6 (/ 1 x)) 9))> |
#<alt (* -1/9 x)> |
#<alt (* x (- (* 1/6 x) 1/9))> |
#<alt (* x (- (* 1/6 x) 1/9))> |
#<alt (* x (- (* 1/6 x) 1/9))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* (pow x 2) (- 1/6 (* 1/9 (/ 1 x))))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (* 1/6 (pow x 2))> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 (pow x 2))> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* -9 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (/ 1/6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (* 6 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (/ 1 x)> |
#<alt (* 6 x)> |
#<alt (* x (+ 6 (* -9 x)))> |
#<alt (* x (+ 6 (* x (- (* 27/2 x) 9))))> |
#<alt (* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x)))> |
#<alt (- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3)))))> |
#<alt 4> |
#<alt (- 4 (* 8/3 (/ 1 x)))> |
#<alt (+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x)))> |
#<alt (+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x)))> |
#<alt 1/6> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (+ 1/6 (* 1/4 x))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* 1/4 x)> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* x (+ 1/4 (* 1/6 (/ 1 x))))> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* 1/4 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
#<alt (* -1/9 x)> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54) |
| 0.0ms | x | @ | inf | (/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54) |
| 0.0ms | x | @ | inf | (* (* x x) 1/6) |
| 0.0ms | x | @ | inf | (* x 1/4) |
| 0.0ms | x | @ | -inf | (* x 1/4) |
| 1× | batch-egg-rewrite |
| 3996× | *-lowering-*.f32 |
| 3996× | *-lowering-*.f64 |
| 2448× | /-lowering-/.f32 |
| 2448× | /-lowering-/.f64 |
| 1818× | sum3-define |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 63 |
| 1 | 112 | 59 |
| 2 | 665 | 57 |
| 3 | 6778 | 57 |
| 0 | 8028 | 57 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* (* x x) 1/6) (* -1/9 x)) -1/54) |
(+ (* (* x x) 1/6) (* -1/9 x)) |
(* (* x x) 1/6) |
(* x x) |
(* (* x -9) x) |
(* x -9) |
(/ 1 (/ 1/6 x)) |
(/ 1/6 x) |
(/ 6 (/ 1 x)) |
(/ 1 x) |
(/ x (+ 1/6 (* x 1/4))) |
(+ 1/6 (* x 1/4)) |
(* x 1/4) |
(* -1/9 x) |
| Outputs |
|---|
(+.f64 (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 x #s(literal -1/9 binary64)))) |
(+.f64 (*.f64 #s(literal -54 binary64) (*.f64 x #s(literal -1/9 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))) |
(+.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -54 binary64)) (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -54 binary64))) |
(+.f64 (*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -54 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -54 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1/54 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))) #s(literal -1/54 binary64))) |
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 (*.f64 x x) #s(literal 1/36 binary64)))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) (/.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))) |
(neg.f64 (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/54 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) #s(literal -54 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -54 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64)))))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/54 binary64) (*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) #s(literal 1/54 binary64)) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal -1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))) |
(/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x))))) (*.f64 #s(literal 1/54 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))))) |
(/.f64 #s(literal -54 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) |
(/.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64))) (*.f64 #s(literal 1/54 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (*.f64 #s(literal -1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal -1/54 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal -1/729 binary64) (*.f64 #s(literal 1/216 binary64) (*.f64 x (*.f64 x x)))))) (*.f64 #s(literal 1/54 binary64) (+.f64 (*.f64 x (*.f64 x #s(literal 1/81 binary64))) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64)))) (neg.f64 (*.f64 #s(literal -1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64)))) (*.f64 #s(literal -1/54 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x x) (-.f64 (*.f64 (*.f64 x x) #s(literal 1/36 binary64)) #s(literal 1/81 binary64)))) (*.f64 #s(literal 1/54 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/6 binary64)) #s(literal 1/9 binary64))))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal 1/256 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64))))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (*.f64 x #s(literal 1/16 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (+.f64 #s(literal -1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))) |
(*.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64))))) |
(*.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (neg.f64 (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) #s(literal -1/216 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))))) |
(*.f64 (+.f64 #s(literal -1/36 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal -1/4 binary64)))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) |
(*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 1/16 binary64))) #s(literal -1/36 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal -1/6 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64)))) (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (+.f64 #s(literal 1/46656 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))))) (+.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (-.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) #s(literal 1/36 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/216 binary64) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 1/64 binary64))) (-.f64 #s(literal 1/1296 binary64) (*.f64 (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64)))))) (-.f64 #s(literal 1/36 binary64) (*.f64 x (-.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 x x) #s(literal -1/16 binary64))) (+.f64 #s(literal 1/216 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 x (*.f64 x x))))) (+.f64 #s(literal 1/36 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/16 binary64)) #s(literal 1/24 binary64))))) |
(/.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/4 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) x) |
(*.f64 (*.f64 x #s(literal 1/4 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -1/4 binary64))) |
(*.f64 #s(literal -1/4 binary64) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x #s(literal 1/9 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x)) |
(*.f64 x #s(literal -1/9 binary64)) |
(*.f64 #s(literal -1/9 binary64) x) |
(*.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/9 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal 1/9 binary64))) |
(*.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 0 binary64) x)) |
| 1× | egg-herbie |
| 1640× | fnmadd-define |
| 1412× | fmsub-define |
| 1374× | fmm-def |
| 1286× | fma-lowering-fma.f32 |
| 1286× | fma-lowering-fma.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 693 |
| 1 | 222 | 667 |
| 2 | 490 | 661 |
| 3 | 1047 | 659 |
| 4 | 2881 | 659 |
| 0 | 8207 | 659 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* -9 x))) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -9 (pow x 2)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(* -1/9 x) |
(* x (- (* 1/6 x) 1/9)) |
(* x (- (* 1/6 x) 1/9)) |
(* x (- (* 1/6 x) 1/9)) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* 1/6 (pow x 2)) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(* 1/6 (pow x 2)) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(pow x 2) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 (pow x 2)) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* -9 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(/ 1/6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(* 6 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* 6 x) |
(* x (+ 6 (* -9 x))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
4 |
(- 4 (* 8/3 (/ 1 x))) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
1/6 |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* 1/4 x)) |
(+ 1/6 (* 1/4 x)) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* 1/4 x) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* 1/4 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
(* -1/9 x) |
| Outputs |
|---|
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* (pow x 2) (- (* 6 (/ 1 x)) 9)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* x (- (* 1/6 x) 1/9)) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (- (* 1/6 x) 1/9)) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* x (- (* 1/6 x) 1/9)) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* (pow x 2) (- 1/6 (* 1/9 (/ 1 x)))) |
(*.f64 x (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 binary64))) |
(* 1/6 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/6 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) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal -9 binary64))) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* -9 x) |
(*.f64 x #s(literal -9 binary64)) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(/ 1/6 x) |
(/.f64 #s(literal 1/6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(/ 1 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) |
(* 6 x) |
(*.f64 #s(literal 6 binary64) x) |
(* x (+ 6 (* -9 x))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(* x (+ 6 (* x (- (* 27/2 x) 9)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x #s(literal 27/2 binary64)))))) |
(* x (+ 6 (* x (- (* x (+ 27/2 (* -81/4 x))) 9)))) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x (+.f64 #s(literal -9 binary64) (*.f64 x (+.f64 #s(literal 27/2 binary64) (*.f64 x #s(literal -81/4 binary64)))))))) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (* 8/3 (/ 1 x))) |
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x)) |
(- (+ 4 (/ 16/9 (pow x 2))) (+ (* 8/3 (/ 1 x)) (* 32/27 (/ 1 (pow x 3))))) |
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x)) |
4 |
#s(literal 4 binary64) |
(- 4 (* 8/3 (/ 1 x))) |
(+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8/3 binary64) x)) |
(+ 4 (* -1 (/ (- 8/3 (* 16/9 (/ 1 x))) x))) |
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -16/9 binary64) x)) x)) |
(+ 4 (* -1 (/ (+ 8/3 (* -1 (/ (- 16/9 (* 32/27 (/ 1 x))) x))) x))) |
(-.f64 #s(literal 4 binary64) (/.f64 (+.f64 #s(literal 8/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 32/27 binary64) x) #s(literal -16/9 binary64)) x)) x)) |
1/6 |
#s(literal 1/6 binary64) |
(+ 1/6 (* 1/4 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(+ 1/6 (* 1/4 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(+ 1/6 (* 1/4 x)) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* x (+ 1/4 (* 1/6 (/ 1 x)))) |
(+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64))) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* 1/4 x) |
(*.f64 x #s(literal 1/4 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
(* -1/9 x) |
(*.f64 x #s(literal -1/9 binary64)) |
Compiled 11072 to 1281 computations (88.4% saved)
14 alts after pruning (3 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 3 | 655 |
| Fresh | 1 | 0 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 7 | 7 |
| Total | 654 | 14 | 668 |
| Status | Accuracy | Program |
|---|---|---|
| 55.2% | (/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64)) | |
| ✓ | 47.8% | (/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 47.7% | (/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
| ✓ | 53.8% | (/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
| ✓ | 55.1% | (/.f64 x #s(literal 1/6 binary64)) |
| ✓ | 55.2% | (/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
| ✓ | 55.0% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
| ✓ | 99.7% | (*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
| ✓ | 47.8% | (*.f64 (*.f64 x x) #s(literal -9 binary64)) |
| ✓ | 47.8% | (*.f64 (*.f64 x #s(literal -9 binary64)) x) |
| 99.5% | (*.f64 (*.f64 #s(literal -54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) | |
| ✓ | 99.8% | (*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
| ✓ | 55.2% | (*.f64 x #s(literal 6 binary64)) |
| 2.5% | #s(literal 4 binary64) |
Compiled 270 to 143 computations (47% saved)
| Inputs |
|---|
#s(literal 4 binary64) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64)) |
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x #s(literal -3 binary64))) x) |
(/.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 x #s(literal 1/4 binary64)))) |
(/.f64 (*.f64 x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 #s(literal -54 binary64) x) (+.f64 #s(literal -1/9 binary64) (*.f64 x #s(literal 1/6 binary64)))) |
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
(*.f64 (*.f64 x (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64)) |
(*.f64 (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 3 binary64))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64))))) |
(/.f64 (*.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 #s(literal -1/9 binary64) x)) #s(literal -1/54 binary64)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) x) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -36 binary64)) x) (+.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -6 binary64))) |
(*.f64 (+.f64 #s(literal 36 binary64) (*.f64 (*.f64 x x) #s(literal -81 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal 9 binary64)))) x)) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
2 calls:
| 7.0ms | x |
| 6.0ms | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x) |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(literal 4 binary64) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/6 binary64) x)) |
(/.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 x (/.f64 #s(literal -1/9 binary64) x)) |
(/.f64 (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/54 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(literal -9 binary64)) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 4 binary64) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 1/6 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
| Outputs |
|---|
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
(*.f64 x #s(literal 6 binary64)) |
(*.f64 (*.f64 x #s(literal -9 binary64)) x) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 3 | x |
Compiled 2 to 1 computations (50% saved)
| Inputs |
|---|
#s(literal 4 binary64) |
(*.f64 x #s(literal 6 binary64)) |
(/.f64 x #s(literal 1/6 binary64)) |
| Outputs |
|---|
(*.f64 x #s(literal 6 binary64)) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.2% | 1 | x |
Compiled 2 to 1 computations (50% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 4 binary64) |
| Outputs |
|---|
#s(literal 4 binary64) |
1 calls:
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 2.5% | 1 | x |
Compiled 2 to 1 computations (50% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 440.0ms | 0.00013975277456022188 | 2.3363961498030656 |
| 16.0ms | -734250.6677821883 | -0.00022089140164111118 |
| 448.0ms | 272× | 0 | valid |
Compiled 218 to 163 computations (25.2% saved)
ival-sub: 431.0ms (97.7% of total)ival-mult: 10.0ms (2.3% of total)const: 1.0ms (0.2% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 0.00013975277456022188 | 2.3363961498030656 |
| 20.0ms | -734250.6677821883 | -0.00022089140164111118 |
| 14.0ms | 272× | 0 | valid |
Compiled 218 to 163 computations (25.2% saved)
ival-mult: 5.0ms (68.3% of total)ival-sub: 1.0ms (13.7% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 1× | egg-herbie |
| 10× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | if-if-or-not_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 49 |
| 1 | 27 | 49 |
| 1× | saturated |
| Inputs |
|---|
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x))) |
(*.f64 x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
| Outputs |
|---|
(*.f64 x (+.f64 #s(literal 6 binary64) (*.f64 x #s(literal -9 binary64)))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x x) #s(literal -9 binary64)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 #s(literal -9 binary64) (*.f64 x x)) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -9 binary64)) x))) |
(if (<=.f64 x #s(literal -5854679515581645/9007199254740992 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))) (if (<=.f64 x #s(literal 5944751508129055/9007199254740992 binary64)) (*.f64 x #s(literal 6 binary64)) (*.f64 x (*.f64 x #s(literal -9 binary64))))) |
(*.f64 x #s(literal 6 binary64)) |
#s(literal 4 binary64) |
| 3962× | *-lowering-*.f32 |
| 3962× | *-lowering-*.f64 |
| 3738× | /-lowering-/.f32 |
| 3738× | /-lowering-/.f64 |
| 3688× | *-lowering-*.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 693 |
| 1 | 222 | 667 |
| 2 | 490 | 661 |
| 3 | 1047 | 659 |
| 4 | 2881 | 659 |
| 0 | 8207 | 659 |
| 0 | 32 | 380 |
| 1 | 87 | 335 |
| 2 | 186 | 335 |
| 3 | 458 | 335 |
| 4 | 1124 | 335 |
| 5 | 1655 | 335 |
| 6 | 3366 | 335 |
| 0 | 8319 | 335 |
| 0 | 12 | 35 |
| 1 | 59 | 31 |
| 2 | 419 | 30 |
| 3 | 3704 | 30 |
| 0 | 8446 | 30 |
| 0 | 28 | 96 |
| 1 | 138 | 87 |
| 2 | 940 | 76 |
| 0 | 8575 | 76 |
| 0 | 101 | 978 |
| 1 | 286 | 905 |
| 2 | 712 | 899 |
| 3 | 1599 | 899 |
| 4 | 3142 | 899 |
| 5 | 7943 | 899 |
| 0 | 8717 | 899 |
| 0 | 7 | 9 |
| 1 | 17 | 9 |
| 2 | 42 | 7 |
| 3 | 102 | 6 |
| 4 | 233 | 6 |
| 5 | 389 | 6 |
| 6 | 676 | 6 |
| 7 | 1034 | 6 |
| 8 | 2602 | 6 |
| 9 | 3049 | 6 |
| 10 | 3668 | 6 |
| 11 | 4897 | 6 |
| 12 | 5397 | 6 |
| 13 | 5413 | 6 |
| 14 | 5413 | 6 |
| 0 | 5413 | 6 |
| 1× | fuel |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 152 to 91 computations (40.1% saved)
Compiled 148 to 64 computations (56.8% saved)
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