
Time bar (total: 6.4s)
| 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 13 to 10 computations (23.1% saved)
| 1.3s | 8 256× | 0 | valid |
const: 489.0ms (55.9% of total)ival-mult: 337.0ms (38.5% of total)ival-sub: 40.0ms (4.6% of total)ival-true: 5.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) x) |
| 0 | 0 | - | 0 | - | #s(literal 6450306886639899/50000000000000000 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 238732414637843/250000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x x) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 78.0ms | 512× | 0 | valid |
Compiled 143 to 50 computations (65% saved)
const: 49.0ms (76.4% of total)ival-mult: 13.0ms (20.3% of total)ival-sub: 2.0ms (3.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 1 | 36 | 21 |
| 2 | 140 | 18 |
| 3 | 408 | 18 |
| 4 | 603 | 18 |
| 5 | 660 | 18 |
| 6 | 664 | 18 |
| 0 | 8 | 11 |
| 0 | 13 | 11 |
| 1 | 24 | 9 |
| 2 | 55 | 9 |
| 3 | 120 | 9 |
| 4 | 165 | 9 |
| 5 | 215 | 9 |
| 6 | 286 | 9 |
| 7 | 357 | 9 |
| 8 | 555 | 9 |
| 9 | 582 | 9 |
| 0 | 582 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Outputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(negabs x)
Compiled 11 to 8 computations (27.3% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 11 to 8 computations (27.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) | |
| cost-diff | 0 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) | |
| cost-diff | 6272 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 32 |
| 0 | 13 | 32 |
| 1 | 24 | 26 |
| 2 | 55 | 26 |
| 3 | 120 | 26 |
| 4 | 165 | 26 |
| 5 | 215 | 26 |
| 6 | 286 | 26 |
| 7 | 357 | 26 |
| 8 | 555 | 26 |
| 9 | 582 | 26 |
| 0 | 582 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
| Outputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.078125 | (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) | |
| accuracy | 0.125 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
| 178.0ms | 256× | 0 | valid |
Compiled 66 to 18 computations (72.7% saved)
ival-mult: 163.0ms (94.9% of total)const: 8.0ms (4.7% of total)ival-sub: 1.0ms (0.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(pow x 2) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 2.0ms | x | @ | -inf | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1.0ms | x | @ | 0 | ((- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x)) (* x x) (* (* x x) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 46 |
| 1 | 56 | 46 |
| 2 | 141 | 46 |
| 3 | 404 | 46 |
| 4 | 1234 | 46 |
| 5 | 3396 | 46 |
| 6 | 4954 | 46 |
| 7 | 6093 | 46 |
| 0 | 8084 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(pow x 2) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* 6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 0 | 13 | 23 |
| 1 | 40 | 23 |
| 2 | 257 | 23 |
| 3 | 2531 | 23 |
| 0 | 8361 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x)) |
(*.f64 x x) |
(*.f64 (*.f64 x x) x) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))) (*.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x))) |
(*.f64 (/.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))) (pow.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))) (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))) (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) x) x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 #s(literal -238732414637843/250000000000000 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) x) (/.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) |
(*.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (pow.f64 (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64)) (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (/.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (*.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64)))) |
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(-.f64 (/.f64 (/.f64 (*.f64 #s(literal 2518851221883474806474308879239472301455129235700566435468270085429879651608189242904843217797706922650716830371161169609906877043/3814697265625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))))) (/.f64 (/.f64 (*.f64 #s(literal -19329623644968741841674533960525744968500800509361783973596476784552662521315426440911409288708070799544338575568316918066748208722420303399099/1953125000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 27 binary64))) (fma.f64 #s(literal 185126395027508851129365652764959095305257183544621947116582652593905354702514635635449/244140625000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 18 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))))) |
(-.f64 (fma.f64 x #s(literal 238732414637843/250000000000000 binary64) #s(literal 0 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
(-.f64 (*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))))) (/.f64 (*.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))))) |
(-.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
(+.f64 (/.f64 (*.f64 #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))))) (neg.f64 (/.f64 (*.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x))))))) |
(+.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(+.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (exp.f64 (log.f64 #s(literal 238732414637843/250000000000000 binary64))) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(pow.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (exp.f64 (log.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x))) (*.f64 x x)) |
(*.f64 (exp.f64 (log.f64 #s(literal 6450306886639899/50000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 6450306886639899/50000000000000000 binary64)))) x) |
(*.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x) (*.f64 x x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (exp.f64 (log.f64 #s(literal 6450306886639899/50000000000000000 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) (exp.f64 (log.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 x (exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 6450306886639899/50000000000000000 binary64))))) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 6450306886639899/50000000000000000 binary64))) #s(literal 1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (log.f64 #s(literal 6450306886639899/50000000000000000 binary64)))) |
(*.f64 (neg.f64 x) (neg.f64 x)) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (neg.f64 x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal 3 binary64)) x) |
(exp.f64 (-.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 8 796 to 812 computations (90.8% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 7 | 249 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 242 | 8 | 250 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
| 66.9% | (fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) | |
| 35.3% | (/.f64 (neg.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) | |
| ✓ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| ▶ | 99.8% | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
| ▶ | 99.8% | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
| ▶ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ▶ | 50.3% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
Compiled 217 to 154 computations (29% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) | |
| cost-diff | 128 | (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) | |
| cost-diff | 0 | (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 320 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 117 |
| 0 | 38 | 109 |
| 1 | 76 | 107 |
| 2 | 111 | 107 |
| 3 | 154 | 107 |
| 4 | 208 | 107 |
| 5 | 259 | 107 |
| 6 | 329 | 107 |
| 7 | 411 | 107 |
| 8 | 587 | 107 |
| 9 | 603 | 107 |
| 0 | 603 | 107 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
x |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
#s(literal 238732414637843/250000000000000 binary64) |
x |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
x |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 238732414637843/250000000000000 binary64) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) |
(*.f64 x x) |
x |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
x |
#s(literal 3 binary64) |
#s(literal -6450306886639899/50000000000000000 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.078125 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 30.791079147038147 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0.1015625 | (*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) | |
| accuracy | 0.0859375 | (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) | |
| accuracy | 0.08984375 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 0.1015625 | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 0.125 | (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) | |
| accuracy | 31.780689527764743 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.03125 | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 0.08984375 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 0.125 | (*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
| 81.0ms | 256× | 0 | valid |
Compiled 229 to 50 computations (78.2% saved)
ival-mult: 19.0ms (38.7% of total)const: 14.0ms (28.5% of total)ival-sub: 11.0ms (22.4% of total)ival-pow: 3.0ms (6.1% of total)ival-add: 2.0ms (4.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(pow x 2) |
(* -6450306886639899/50000000000000000 x) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((+ (* (* x x) (* -6450306886639899/50000000000000000 x)) (* x 238732414637843/250000000000000)) (* x x) (* -6450306886639899/50000000000000000 x) (* x 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (* (* x x) 6450306886639899/50000000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (pow x 3)) |
| 3.0ms | x | @ | inf | ((+ (* (* x x) (* -6450306886639899/50000000000000000 x)) (* x 238732414637843/250000000000000)) (* x x) (* -6450306886639899/50000000000000000 x) (* x 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (* (* x x) 6450306886639899/50000000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (pow x 3)) |
| 2.0ms | x | @ | 0 | ((+ (* (* x x) (* -6450306886639899/50000000000000000 x)) (* x 238732414637843/250000000000000)) (* x x) (* -6450306886639899/50000000000000000 x) (* x 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* 238732414637843/250000000000000 x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) (* (- 238732414637843/250000000000000 (* (* x x) 6450306886639899/50000000000000000)) x) (* (* x x) 6450306886639899/50000000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (pow x 3) -6450306886639899/50000000000000000) (pow x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 69 |
| 1 | 60 | 69 |
| 2 | 143 | 69 |
| 3 | 424 | 69 |
| 4 | 1264 | 69 |
| 5 | 3464 | 69 |
| 6 | 5029 | 69 |
| 7 | 5480 | 69 |
| 8 | 5967 | 69 |
| 9 | 6665 | 69 |
| 10 | 7401 | 69 |
| 0 | 8384 | 64 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(pow x 2) |
(* -6450306886639899/50000000000000000 x) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* 6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 97 |
| 0 | 38 | 89 |
| 1 | 138 | 87 |
| 2 | 832 | 87 |
| 0 | 8626 | 87 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 x #s(literal 238732414637843/250000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) x) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)) x) (fma.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal 72024833913875442889837733138001032565544377067862312747203629386814357430001738583120280310601/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (-.f64 (fma.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 #s(literal -1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) x) (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (fma.f64 (*.f64 x x) (-.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64))) |
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(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 6450306886639899/50000000000000000 binary64)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x) (*.f64 (neg.f64 x) x)) |
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x) x) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x)) (neg.f64 x)) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 x (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x)) |
(/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))) |
(/.f64 (*.f64 #s(literal -268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 9 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64)))))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6450306886639899/50000000000000000 binary64))) |
(+.f64 #s(literal 0 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(exp.f64 (fma.f64 #s(literal 3/2 binary64) (log.f64 x) (*.f64 #s(literal 3/2 binary64) (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
Compiled 11 381 to 1 216 computations (89.3% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 416 | 5 | 421 |
| Fresh | 2 | 0 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 419 | 10 | 429 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
| ▶ | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
| ✓ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| ▶ | 74.7% | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
| ✓ | 99.8% | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
| ▶ | 51.8% | (*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
| ✓ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ▶ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ▶ | 51.9% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 50.3% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
Compiled 245 to 171 computations (30.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 128 | (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) | |
| cost-diff | 1408 | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| cost-diff | -5824 | (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) | |
| cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 260 |
| 0 | 60 | 253 |
| 1 | 122 | 237 |
| 2 | 221 | 235 |
| 3 | 445 | 224 |
| 4 | 1060 | 224 |
| 5 | 2398 | 224 |
| 6 | 3639 | 224 |
| 7 | 4475 | 224 |
| 8 | 4916 | 224 |
| 9 | 5047 | 224 |
| 10 | 5092 | 224 |
| 11 | 5120 | 224 |
| 12 | 5676 | 224 |
| 13 | 6216 | 224 |
| 14 | 6977 | 224 |
| 15 | 6993 | 224 |
| 16 | 7001 | 224 |
| 17 | 7001 | 224 |
| 18 | 7001 | 224 |
| 19 | 7545 | 224 |
| 0 | 8074 | 222 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
x |
#s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
x |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 x x) |
(/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
#s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal -238732414637843/250000000000000 binary64) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
(*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
x |
#s(literal 238732414637843/250000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
x |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(pow.f64 x #s(literal 3 binary64)) |
(*.f64 x x) |
x |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(*.f64 #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) x) |
x |
#s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x x) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
(*.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
x |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(fma.f64 (/.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 x x) |
(/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
#s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
#s(literal -238732414637843/250000000000000 binary64) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
#s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) | |
| accuracy | 0.4488537193538962 | (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) | |
| accuracy | 1.2847577878563472 | (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 15.738796430746298 | (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.1015625 | (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 0.1015625 | (*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) | |
| accuracy | 31.592928732689423 | #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (*.f64 (*.f64 x x) x) | |
| accuracy | 0.078125 | (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| accuracy | 30.791079147038147 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) | |
| accuracy | 0 | (*.f64 x x) | |
| accuracy | 0.08984375 | (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) | |
| accuracy | 0.08984375 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 30.791079147038147 | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) | |
| accuracy | 0.08984375 | (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) | |
| accuracy | 0.1015625 | (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) | |
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) | |
| accuracy | 0.4765997852270445 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
| 165.0ms | 256× | 0 | valid |
Compiled 513 to 76 computations (85.2% saved)
ival-mult: 57.0ms (44.6% of total)const: 56.0ms (43.8% of total)ival-div: 8.0ms (6.3% of total)ival-add: 4.0ms (3.1% of total)ival-sub: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
(*.f64 x x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
#s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(/ 250000000000000/238732414637843 x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(pow x 2) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
-238732414637843/250000000000000 |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
-6450306886639899/50000000000000000 |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | ((/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x x) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (* (* x x) -6450306886639899/50000000000000000) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x))) |
| 6.0ms | x | @ | inf | ((/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x x) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (* (* x x) -6450306886639899/50000000000000000) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x))) |
| 4.0ms | x | @ | -inf | ((/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* x x) (* -6450306886639899/50000000000000000 x) (* (* x x) (* -6450306886639899/50000000000000000 x)) (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (* (* (* x x) x) -6450306886639899/50000000000000000) (* (* x x) x) (* x (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000)) (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (* (* x x) -6450306886639899/50000000000000000) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 498 |
| 1 | 386 | 498 |
| 2 | 1090 | 494 |
| 3 | 2854 | 493 |
| 4 | 6701 | 493 |
| 0 | 8090 | 465 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(/ 250000000000000/238732414637843 x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(pow x 2) |
(* -6450306886639899/50000000000000000 x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(pow x 3) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
-238732414637843/250000000000000 |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
-6450306886639899/50000000000000000 |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
| Outputs |
|---|
(* 238732414637843/250000000000000 x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/ 250000000000000/238732414637843 x) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (*.f64 x x) #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64)) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64) (*.f64 x x) #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64)) (*.f64 x x) #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64)) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -6450306886639899/50000000000000000 x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(*.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64) (*.f64 x x) #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64)) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
-238732414637843/250000000000000 |
#s(literal -238732414637843/250000000000000 binary64) |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(fma.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal -238732414637843/250000000000000 binary64)) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal -238732414637843/250000000000000 binary64)) |
(* 41606458931834106848498498730201/2500000000000000000000000000000000 (pow x 2)) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x))) x) x) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x)) (/.f64 #s(literal -3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 6 binary64)))) |
-6450306886639899/50000000000000000 |
#s(literal -6450306886639899/50000000000000000 binary64) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6450306886639899/50000000000000000 binary64)) (-.f64 (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)))) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64)) x) x) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64)) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(-.f64 (/.f64 #s(literal -3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(fma.f64 #s(literal 238732414637843/250000000000000 binary64) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 191 |
| 0 | 60 | 171 |
| 1 | 208 | 168 |
| 2 | 1390 | 166 |
| 0 | 8501 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
(*.f64 x x) |
(*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
#s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (/.f64 x (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x) (/.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) (pow.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) x) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64))) |
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(fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) |
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(fma.f64 #s(literal -6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
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(-.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal -238732414637843/250000000000000 binary64)) |
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(+.f64 (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 238732414637843/250000000000000 binary64)) |
(+.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64))) |
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(*.f64 (/.f64 (*.f64 x x) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) #s(literal -1 binary64)))) |
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(*.f64 (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64))))) |
(*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (/.f64 (neg.f64 (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(*.f64 (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) |
(*.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(*.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x (/.f64 x (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))))) |
(*.f64 (*.f64 x x) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))))) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (pow.f64 (fma.f64 (*.f64 x #s(literal -6450306886639899/50000000000000000 binary64)) x #s(literal 238732414637843/250000000000000 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (/.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x))) |
(neg.f64 (/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) (/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2500000000000000000000000000000000/41606458931834106848498498730201 binary64)) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64))))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -1 binary64)) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)) |
(*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (pow.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -62500000000000000000000000000/56993165798814994692847692649 binary64)) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -62500000000000000000000000000/56993165798814994692847692649 binary64)) #s(literal -3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
(/.f64 (neg.f64 (pow.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (-.f64 #s(literal -238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal 62500000000000000000000000000/56993165798814994692847692649 binary64))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal 62500000000000000000000000000/56993165798814994692847692649 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -62500000000000000000000000000/56993165798814994692847692649 binary64))) |
(neg.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -62500000000000000000000000000/56993165798814994692847692649 binary64))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x) x) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) #s(literal 1 binary64)) |
(*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64)) |
(*.f64 x (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) x)) |
(neg.f64 (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x))) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x))) |
Compiled 17 381 to 2 107 computations (87.9% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 577 | 2 | 579 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 579 | 10 | 589 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
| ▶ | 49.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
| ✓ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| ▶ | 98.8% | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
| ✓ | 99.8% | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
| ✓ | 51.8% | (*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
| ✓ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 51.9% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 50.3% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
Compiled 161 to 117 computations (27.3% saved)
| 1× | egg-herbie |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) | |
| cost-diff | 0 | #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) | |
| cost-diff | 0 | #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) | |
| cost-diff | 128 | (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 142 |
| 0 | 38 | 139 |
| 1 | 77 | 139 |
| 2 | 141 | 139 |
| 3 | 245 | 136 |
| 4 | 384 | 136 |
| 5 | 627 | 136 |
| 6 | 928 | 136 |
| 7 | 1688 | 136 |
| 8 | 2211 | 136 |
| 9 | 2495 | 136 |
| 10 | 2621 | 136 |
| 11 | 2728 | 136 |
| 12 | 3467 | 136 |
| 13 | 3467 | 136 |
| 14 | 3473 | 136 |
| 15 | 3473 | 136 |
| 0 | 3473 | 134 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
x |
(fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 x x) |
#s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
#s(literal 250000000000000/238732414637843 binary64) |
x |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) x)) |
x |
(fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(fma.f64 (*.f64 #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) x) x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(*.f64 x x) |
#s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) |
#s(literal -6450306886639899/50000000000000000 binary64) |
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
#s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
#s(literal 6450306886639899/50000000000000000 binary64) |
#s(literal 238732414637843/250000000000000 binary64) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
#s(literal 1 binary64) |
#s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
#s(literal 250000000000000/238732414637843 binary64) |
x |
Found 7 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) | |
| accuracy | 0.59375 | (/.f64 #s(literal 250000000000000/238732414637843 binary64) x) | |
| accuracy | 30.29142786480284 | #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) | |
| accuracy | 0.078125 | (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) | |
| accuracy | 0.1015625 | (*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) | |
| accuracy | 1.2847577878563472 | (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) | |
| accuracy | 31.159091421238994 | #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) |
| 73.0ms | 256× | 0 | valid |
Compiled 279 to 60 computations (78.5% saved)
const: 31.0ms (50.4% of total)ival-mult: 14.0ms (22.8% of total)ival-div: 8.0ms (13% of total)ival-add: 8.0ms (13% of total)ival-neg: 1.0ms (1.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 x x) |
#s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
#s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
| Outputs |
|---|
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(pow x 2) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(/ 250000000000000/238732414637843 x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
-238732414637843/250000000000000 |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
-6450306886639899/50000000000000000 |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))) (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/ 250000000000000/238732414637843 x) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))))) |
| 2.0ms | x | @ | inf | ((neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))) (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/ 250000000000000/238732414637843 x) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))))) |
| 1.0ms | x | @ | 0 | ((neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000))) (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))) (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) (/ 1 (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x))) (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/ 250000000000000/238732414637843 x) (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)) (* x (+ (* (* x x) (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000))) (neg (/ -56993165798814994692847692649/62500000000000000000000000000 (+ (* 6450306886639899/50000000000000000 (* x x)) 238732414637843/250000000000000)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 153 | 487 |
| 1 | 381 | 487 |
| 2 | 1085 | 483 |
| 3 | 2854 | 482 |
| 4 | 6696 | 482 |
| 0 | 8086 | 454 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
238732414637843/250000000000000 |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(pow x 2) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(* 238732414637843/250000000000000 x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(/ 250000000000000/238732414637843 x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
-238732414637843/250000000000000 |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
-6450306886639899/50000000000000000 |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
| Outputs |
|---|
238732414637843/250000000000000 |
#s(literal 238732414637843/250000000000000 binary64) |
(+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2))) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* 41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(+ 238732414637843/250000000000000 (* (pow x 2) (- (* (pow x 2) (+ 41606458931834106848498498730201/2387324146378430000000000000000000 (* -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)))) 6450306886639899/50000000000000000))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal 41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)) |
(*.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x)) |
(* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 (pow x 2)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
(* (pow x 2) (- (* (pow x 2) (+ 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (* (pow x 2) (- (* 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 (pow x 2)) 1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000)))) 41606458931834106848498498730201/2387324146378430000000000000000000)) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 11166109640931316844746388772108518735159744155737573634212248510970393203099499/259857675821697218569006518412942043414998673683453490976080000000000000000000000000 binary64) (*.f64 x x) #s(literal -1731097424846398127433932987101239209263670418016908009389500401/5442446435602413550013708344118350203326442800000000000000000000000 binary64)) (*.f64 x x) #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64)) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) x) x) |
(* 238732414637843/250000000000000 x) |
(*.f64 #s(literal 238732414637843/250000000000000 binary64) x) |
(* x (+ 238732414637843/250000000000000 (* -6450306886639899/50000000000000000 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(/ 250000000000000/238732414637843 x) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
(/ (+ 250000000000000/238732414637843 (* 8062883608299873750000000000/56993165798814994692847692649 (pow x 2))) x) |
(/.f64 (fma.f64 #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (pow x 2))))) x) |
(/.f64 (fma.f64 (fma.f64 #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64) (*.f64 x x) #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64)) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
(/ (+ 250000000000000/238732414637843 (* (pow x 2) (+ 8062883608299873750000000000/56993165798814994692847692649 (* (pow x 2) (+ 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 (* 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 (pow x 2))))))) x) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8386700893022177358704729320572659603220090303093750000/3248220947771215232112581480161775542687483421043168637201 binary64) (*.f64 x x) #s(literal 260040368323963167803115617063756250000000/13606116089006033875034270860295875508316107 binary64)) (*.f64 x x) #s(literal 8062883608299873750000000000/56993165798814994692847692649 binary64)) (*.f64 x x) #s(literal 250000000000000/238732414637843 binary64)) x) |
-238732414637843/250000000000000 |
#s(literal -238732414637843/250000000000000 binary64) |
(- (* 6450306886639899/50000000000000000 (pow x 2)) 238732414637843/250000000000000) |
(fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal -238732414637843/250000000000000 binary64)) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* -41606458931834106848498498730201/2387324146378430000000000000000000 (pow x 2)))) 238732414637843/250000000000000) |
(fma.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64) (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal -238732414637843/250000000000000 binary64)) |
(- (* (pow x 2) (+ 6450306886639899/50000000000000000 (* (pow x 2) (- (* 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 (pow x 2)) 41606458931834106848498498730201/2387324146378430000000000000000000)))) 238732414637843/250000000000000) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/113986331597629989385695385298000000000000000000000 binary64) (*.f64 x x) #s(literal -41606458931834106848498498730201/2387324146378430000000000000000000 binary64)) (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64)) (*.f64 x x) #s(literal -238732414637843/250000000000000 binary64)) |
(/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x)) |
(/ (- 56993165798814994692847692649/8062883608299873750000000000 (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x))) x) x) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2)))) (pow x 2)) |
(/.f64 (-.f64 (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x)) |
(/ (- (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4))) (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6))))) (pow x 2)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x)) (/.f64 #s(literal -3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 6 binary64)))) |
(* -6450306886639899/50000000000000000 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 2) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) |
-6450306886639899/50000000000000000 |
#s(literal -6450306886639899/50000000000000000 binary64) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000) |
(-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64)) |
(- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)) #s(literal 6450306886639899/50000000000000000 binary64)) (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(- (+ (* 238732414637843/250000000000000 (/ 1 (pow x 2))) (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 6)))) (+ 6450306886639899/50000000000000000 (/ 56993165798814994692847692649/8062883608299873750000000000 (pow x 4)))) |
(-.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 6450306886639899/50000000000000000 binary64)) (-.f64 (/.f64 #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 x x)))) |
(* -6450306886639899/50000000000000000 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(* (pow x 3) (- (* 238732414637843/250000000000000 (/ 1 (pow x 2))) 6450306886639899/50000000000000000)) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(/ -50000000000000000/6450306886639899 (pow x 3)) |
(/.f64 #s(literal -50000000000000000/6450306886639899 binary64) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2)))) (pow x 3))) |
(/.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 2387324146378430000000000000000000/41606458931834106848498498730201 (* 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (/ 1 (pow x 2)))) (pow x 2))) 50000000000000000/6450306886639899) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* -1 (/ (+ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 2)))) (pow x 4))) (+ 50000000000000000/6450306886639899 (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))))) (pow x 3)) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (*.f64 x x)) #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(/ -56993165798814994692847692649/8062883608299873750000000000 (pow x 2)) |
(/.f64 #s(literal -56993165798814994692847692649/8062883608299873750000000000 binary64) (*.f64 x x)) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) 56993165798814994692847692649/8062883608299873750000000000) (pow x 2)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64)) x) x) |
(/ (- (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64)) (/.f64 #s(literal 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 x x)) |
(/ (- (+ (* 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 (/ 1 (pow x 2))) (* 775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 (/ 1 (pow x 6)))) (+ 56993165798814994692847692649/8062883608299873750000000000 (/ 3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 (pow x 4)))) (pow x 2)) |
(-.f64 (/.f64 #s(literal -3248220947771215232112581480161775542687483421043168637201/8386700893022177358704729320572659603220090303093750000 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -775455630138645126065042133827099094882770362165026534696522746272197443/270483972632249707411552029234568626447448502815141876467109437656250 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 13606116089006033875034270860295875508316107/260040368323963167803115617063756250000000 binary64) (*.f64 x x)) #s(literal 56993165798814994692847692649/8062883608299873750000000000 binary64))) (*.f64 x x))) |
(* -1 (* (pow x 3) (- 6450306886639899/50000000000000000 (* 238732414637843/250000000000000 (/ 1 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4)))) (pow x 3))) |
(/.f64 (-.f64 (-.f64 #s(literal -50000000000000000/6450306886639899 binary64) (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x))) (/.f64 #s(literal 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (/ (+ 50000000000000000/6450306886639899 (+ (* 2387324146378430000000000000000000/41606458931834106848498498730201 (/ 1 (pow x 2))) (+ (* 5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 (/ 1 (pow x 6))) (/ 113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 (pow x 4))))) (pow x 3))) |
(/.f64 (-.f64 (/.f64 #s(literal -5442446435602413550013708344118350203326442800000000000000000000000/1731097424846398127433932987101239209263670418016908009389500401 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 2387324146378430000000000000000000/41606458931834106848498498730201 binary64) (*.f64 x x)) #s(literal -50000000000000000/6450306886639899 binary64)) (/.f64 #s(literal -113986331597629989385695385298000000000000000000000/268374428576709675478551338258325107303042889699 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 128 |
| 0 | 38 | 125 |
| 1 | 158 | 125 |
| 2 | 1056 | 122 |
| 0 | 9048 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))) |
(fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))))) |
(*.f64 x x) |
#s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
#s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x)) |
(/.f64 #s(literal 250000000000000/238732414637843 binary64) x) |
(/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x))))) |
(*.f64 (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64)))) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64))) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal -238732414637843/250000000000000 binary64))) |
(*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 268374428576709675478551338258325107303042889699/125000000000000000000000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 13606116089006033875034270860295875508316107/15625000000000000000000000000000000000000000 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (-.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 #s(literal 1539897338202650532481239097857/12500000000000000000000000000000 binary64) (*.f64 x x))))) |
(*.f64 (/.f64 #s(literal -3248220947771215232112581480161775542687483421043168637201/3906250000000000000000000000000000000000000000000000000000 binary64) (pow.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64)) #s(literal 62500000000000000000000000000/56993165798814994692847692649 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)) #s(literal -1 binary64)) #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) #s(literal 2 binary64)) #s(literal 0 binary64)))) |
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(fma.f64 x (*.f64 (*.f64 #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) x) x) (*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x)) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(-.f64 (/.f64 (*.f64 (pow.f64 #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x) #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x)))) |
(-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x)) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64))) (*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x)) |
(+.f64 (*.f64 (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)))) |
Compiled 15 329 to 1 217 computations (92.1% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 326 | 1 | 327 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 327 | 10 | 337 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
| ✓ | 49.9% | (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
| ✓ | 99.8% | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 98.8% | (*.f64 (fma.f64 (*.f64 #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) x) x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) x) | |
| ✓ | 99.8% | (*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
| ✓ | 51.8% | (*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
| ✓ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 51.8% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
| ✓ | 51.9% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
| ✓ | 50.3% | #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
Compiled 442 to 208 computations (52.9% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (* (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) x)) (/.f64 #s(literal 250000000000000/238732414637843 binary64) x))) |
(-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
(*.f64 (fma.f64 (*.f64 #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) x) x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x))) |
(*.f64 x (fma.f64 (*.f64 x x) #s(approx (/ (* 41606458931834106848498498730201/2500000000000000000000000000000000 (* x x)) (+ (* (* -6450306886639899/50000000000000000 x) x) -238732414637843/250000000000000)) #s(literal -6450306886639899/50000000000000000 binary64)) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
(*.f64 x (fma.f64 (*.f64 x x) (/.f64 (*.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (*.f64 x x)) (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal -238732414637843/250000000000000 binary64))) (neg.f64 (/.f64 #s(literal -56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x) #s(literal 238732414637843/250000000000000 binary64)))))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -6450306886639899/50000000000000000 binary64))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (*.f64 x x)))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))) |
(fma.f64 x (/.f64 #s(literal 56993165798814994692847692649/62500000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (/.f64 #s(literal 41606458931834106848498498730201/2500000000000000000000000000000000 binary64) (fma.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64) #s(literal 238732414637843/250000000000000 binary64)))))) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 5.0ms | x |
| 4.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
| Outputs |
|---|
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
2 calls:
| 3.0ms | x |
| 2.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
| Outputs |
|---|
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
2 calls:
| 22.0ms | x |
| 2.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | x |
| 99.8% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 (*.f64 x x) x) #s(literal -6450306886639899/50000000000000000 binary64))) |
(*.f64 x #s(approx (+ (* (* -6450306886639899/50000000000000000 x) x) 238732414637843/250000000000000) (*.f64 (*.f64 x x) #s(literal -6450306886639899/50000000000000000 binary64)))) |
| Outputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
| 99.3% | 2 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
Compiled 12 to 9 computations (25% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
| Outputs |
|---|
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
2 calls:
| 1.0ms | x |
| 1.0ms | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | (-.f64 (*.f64 #s(literal 238732414637843/250000000000000 binary64) x) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 (*.f64 x x) x))) |
| 50.3% | 1 | x |
Compiled 12 to 9 computations (25% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 0.07700045828089117 | 3953.8707324259144 |
| 10.0ms | 128× | 0 | valid |
Compiled 286 to 220 computations (23.1% saved)
const: 4.0ms (53.3% of total)ival-mult: 3.0ms (40% of total)ival-sub: 1.0ms (13.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 80 |
| 1 | 36 | 80 |
| 2 | 51 | 80 |
| 3 | 59 | 80 |
| 4 | 65 | 80 |
| 5 | 67 | 80 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
| Outputs |
|---|
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x #s(literal 238732414637843/250000000000000 binary64))) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 (*.f64 x x) #s(literal 6450306886639899/50000000000000000 binary64))) x) |
(*.f64 (-.f64 #s(literal 238732414637843/250000000000000 binary64) (*.f64 #s(literal 6450306886639899/50000000000000000 binary64) (*.f64 x x))) x) |
(*.f64 x (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) x #s(literal 238732414637843/250000000000000 binary64)) x) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 x x) (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x)))) |
(if (<=.f64 x #s(literal 3039929748475085/1125899906842624 binary64)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) #s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 (*.f64 #s(literal -6450306886639899/50000000000000000 binary64) x) (*.f64 x x)))) |
#s(approx (- (* 238732414637843/250000000000000 x) (* 6450306886639899/50000000000000000 (* (* x x) x))) (*.f64 #s(literal 238732414637843/250000000000000 binary64) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 46 |
| 1 | 56 | 46 |
| 2 | 141 | 46 |
| 3 | 404 | 46 |
| 4 | 1234 | 46 |
| 5 | 3396 | 46 |
| 6 | 4954 | 46 |
| 7 | 6093 | 46 |
| 0 | 8084 | 43 |
| 0 | 8 | 29 |
| 0 | 13 | 23 |
| 1 | 40 | 23 |
| 2 | 257 | 23 |
| 3 | 2531 | 23 |
| 0 | 8361 | 22 |
| 0 | 24 | 97 |
| 0 | 38 | 89 |
| 1 | 138 | 87 |
| 2 | 832 | 87 |
| 0 | 8626 | 87 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 178 to 86 computations (51.7% saved)
(negabs x)
Compiled 262 to 124 computations (52.7% saved)
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