
Time bar (total: 3.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 100% | 0% | 0% | 0% | 0% | 0 |
| 100% | 100% | 0% | 0% | 0% | 0% | 0% | 1 |
Compiled 11 to 9 computations (18.2% saved)
| 477.0ms | 8 256× | 0 | valid |
ival-mult: 214.0ms (76% of total)ival-sub: 50.0ms (17.8% of total)exact: 7.0ms (2.5% of total)ival-true: 5.0ms (1.8% of total)ival-assert: 3.0ms (1.1% of total)adjust: 2.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | (*.f64 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 |
| 25.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult: 9.0ms (71.6% of total)ival-sub: 2.0ms (15.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 19 |
| 1 | 33 | 18 |
| 2 | 132 | 18 |
| 3 | 361 | 18 |
| 4 | 806 | 18 |
| 5 | 1341 | 18 |
| 6 | 1479 | 18 |
| 7 | 1875 | 18 |
| 8 | 2405 | 18 |
| 9 | 2983 | 18 |
| 10 | 3178 | 18 |
| 11 | 3334 | 18 |
| 12 | 3334 | 18 |
| 0 | 7 | 9 |
| 0 | 11 | 9 |
| 1 | 23 | 9 |
| 2 | 71 | 9 |
| 3 | 223 | 9 |
| 4 | 517 | 9 |
| 5 | 958 | 9 |
| 6 | 1277 | 9 |
| 7 | 1678 | 9 |
| 8 | 2228 | 9 |
| 9 | 2812 | 9 |
| 10 | 3020 | 9 |
| 11 | 3176 | 9 |
| 12 | 3176 | 9 |
| 0 | 3176 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Compiled 9 to 7 computations (22.2% saved)
Compiled 0 to 1 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
Compiled 9 to 7 computations (22.2% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(* 2 x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2) |
| 1.0ms | x | @ | -inf | ((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2) |
| 1.0ms | x | @ | 0 | ((* (* x x) (- 3 (* x 2))) (* x x) x (- 3 (* x 2)) 3 (* x 2) 2) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 65 |
| 1 | 63 | 65 |
| 2 | 172 | 65 |
| 3 | 603 | 65 |
| 4 | 2271 | 65 |
| 5 | 5291 | 65 |
| 0 | 8422 | 60 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(* 2 x) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 38 | 23 |
| 2 | 230 | 23 |
| 3 | 1787 | 23 |
| 0 | 8989 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 x (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 x (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 #s(literal 81 binary64) (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (-.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 9 binary64)) #s(literal 81 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (/.f64 (*.f64 x x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x x)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 x x)) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64) (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (neg.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
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(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))) |
(+.f64 (/.f64 #s(literal 81 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(+.f64 (/.f64 #s(literal 729 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(+.f64 (+.f64 #s(literal 3 binary64) x) x) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(+.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) |
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 (neg.f64 (*.f64 #s(literal 4 binary64) x)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3/2 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 x (+.f64 x #s(literal 3 binary64))) |
#s(literal 3 binary64) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (hypot.f64 x x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 x x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) x)) (sqrt.f64 x)) |
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) x) |
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 4 binary64) x))) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64)))) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 x #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (neg.f64 (-.f64 x x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 x x) (*.f64 x x))) (fabs.f64 (-.f64 x x))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 x x)) (-.f64 x x)) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) |
(neg.f64 (*.f64 #s(literal -2 binary64) x)) |
(fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x) |
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) x) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) x) |
(sqrt.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x x)) (/.f64 (*.f64 x x) (-.f64 x x))) |
(fabs.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) |
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 (*.f64 x x) (*.f64 x x))))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x))) (sinh.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)))) |
(+.f64 x x) |
#s(literal 2 binary64) |
Compiled 9 064 to 1 143 computations (87.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 346 | 9 | 355 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 347 | 9 | 356 |
| Status | Accuracy | Program |
|---|---|---|
| 94.9% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| 70.9% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) | |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 76.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) | |
| ▶ | 52.6% | (*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
| ▶ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| 70.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 69.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ▶ | 70.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 266 to 182 computations (31.6% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 x x) |
x |
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -1 x)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(* (sqrt x) (sqrt -2)) |
(* -2 x) |
(* -2 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* x (pow (sqrt -2) 2)) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 2) 2))) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 3.0ms | x | @ | 0 | ((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 3.0ms | x | @ | inf | ((* (* x x) (- (- 3 x) x)) (* x x) x (- (- 3 x) x) (- 3 x) 3 (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) -2 (* (* x x) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3)) (+ (* (sqrt (* -2 x)) (sqrt (* -2 x))) 3) (sqrt (* -2 x)) (* -2 x) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 174 |
| 1 | 171 | 172 |
| 2 | 490 | 172 |
| 3 | 1399 | 172 |
| 4 | 3089 | 172 |
| 5 | 6736 | 172 |
| 0 | 8104 | 158 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(+ 3 (* -1 x)) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(* (sqrt x) (sqrt -2)) |
(* -2 x) |
(* -2 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* x (pow (sqrt -2) 2)) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* x (pow (sqrt 2) 2))) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 2) (+ 3 (* x (pow (sqrt -2) 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(+ 3 (* x (pow (sqrt -2) 2))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* (sqrt x) (sqrt -2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64))) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow x 3) |
(pow.f64 x #s(literal 3 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* x (pow (sqrt -2) 2)) |
(*.f64 #s(literal -2 binary64) x) |
(* x (+ (* 3 (/ 1 x)) (pow (sqrt -2) 2))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* -1 (* (pow x 3) (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (pow (sqrt 2) 2))) |
(*.f64 #s(literal -2 binary64) x) |
(* -1 (* x (- (pow (sqrt 2) 2) (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 113 |
| 0 | 39 | 105 |
| 1 | 139 | 96 |
| 0 | 942 | 96 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 x x) |
x |
(-.f64 (-.f64 #s(literal 3 binary64) x) x) |
(-.f64 #s(literal 3 binary64) x) |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 x (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)) |
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x |
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(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) (*.f64 x x))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 x (*.f64 (*.f64 x x) #s(literal -2 binary64))) |
(*.f64 x (*.f64 #s(literal -2 binary64) (*.f64 x x))) |
(*.f64 x (*.f64 x (*.f64 #s(literal -2 binary64) x))) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) #s(literal 2 binary64)) |
(*.f64 (*.f64 x (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x)) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (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 (neg.f64 x) (*.f64 (neg.f64 x) x)) |
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64)) |
(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 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) |
Compiled 6 114 to 867 computations (85.8% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 370 | 4 | 374 |
| Fresh | 2 | 2 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 373 | 10 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.9% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| ▶ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 68.9% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 76.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) | |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| ▶ | 70.5% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| ✓ | 69.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 70.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
| ▶ | 37.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
Compiled 245 to 159 computations (35.1% saved)
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 x x) |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
x |
(* -2 (pow x 2)) |
(* -2 x) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(+ 3 (* -1 x)) |
(* -1 x) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (sqrt (pow x 3)) (sqrt -2)) |
(* (sqrt x) (sqrt -2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x))) |
| 4.0ms | x | @ | 0 | ((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x))) |
| 3.0ms | x | @ | inf | ((* (+ (* x 3) (* (* -2 x) x)) x) (+ (* x 3) (* (* -2 x) x)) x 3 (* (* -2 x) x) (* -2 x) -2 (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (* x x) (- (- 3 x) x)) (* x x) (- (- 3 x) x) (- 3 x) (neg x) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) 4 9 (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* (* (sqrt (* -2 x)) x) (* (sqrt (* -2 x)) x)) (* (sqrt (* -2 x)) x) (sqrt (* -2 x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 114 | 359 |
| 1 | 385 | 344 |
| 2 | 1290 | 338 |
| 3 | 5140 | 335 |
| 0 | 8085 | 320 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
x |
(* -2 (pow x 2)) |
(* -2 x) |
3 |
(+ 3 (* -2 x)) |
(pow x 2) |
(+ 3 (* -1 x)) |
(* -1 x) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
9 |
(+ 9 (* 4 (pow x 2))) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(* (sqrt (pow x 3)) (sqrt -2)) |
(* (sqrt x) (sqrt -2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 1)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 2)) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2)))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* 3 x) |
(*.f64 #s(literal 3 binary64) x) |
(* x (+ 3 (* -2 x))) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
x |
(* -2 (pow x 2)) |
(*.f64 #s(literal -2 binary64) (*.f64 x x)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(pow x 2) |
(*.f64 x x) |
(+ 3 (* -1 x)) |
(-.f64 #s(literal 3 binary64) x) |
(* -1 x) |
(neg.f64 x) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* 9 (pow x 2)) |
(*.f64 #s(literal 9 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 3) (pow (sqrt -2) 2)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (sqrt (pow x 3)) (sqrt -2)) |
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 #s(literal -2 binary64))) |
(* (sqrt x) (sqrt -2)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64))) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(* x (- (* 3 (/ 1 x)) 1)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -2 binary64)) x) |
(* -1 (* x (- 1 (* 3 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -2 binary64)) x) x #s(literal -9 binary64)) x) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -9 binary64) (/.f64 #s(literal 27/2 binary64) x)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -1 (* (pow x 3) (pow (sqrt 2) 2))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* -1 (* (sqrt (pow x 3)) (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))) |
(* -1 (* (sqrt x) (* (sqrt -1) (sqrt 2)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 178 |
| 0 | 52 | 168 |
| 1 | 177 | 158 |
| 0 | 1169 | 158 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 x x) |
(-.f64 #s(approx (- 3 x) (neg.f64 x)) x) |
#s(approx (- 3 x) (neg.f64 x)) |
(neg.f64 x) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) |
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(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 x x) (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(+.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) |
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (fabs.f64 x)) (fabs.f64 x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (fabs.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (fabs.f64 x))) |
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)))) |
(*.f64 (neg.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) (neg.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))) |
(*.f64 (fabs.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) (fabs.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x) (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x))) |
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 x x))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) x)) |
(*.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 x x)) |
(*.f64 x (*.f64 (*.f64 #s(literal -2 binary64) x) x)) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) #s(literal 2 binary64)) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
(neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 x)))) |
(fabs.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x)) #s(literal 2 binary64))) |
(*.f64 (*.f64 x (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 x) x)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) |
(*.f64 x (sqrt.f64 (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 x)) |
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal -2 binary64))) |
(pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 #s(literal -2 binary64) x)) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 1/2 binary64))) |
Compiled 8 304 to 1 185 computations (85.7% saved)
10 alts after pruning (2 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 422 | 1 | 423 |
| Fresh | 0 | 1 | 1 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 4 | 4 |
| Total | 423 | 10 | 433 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.9% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 68.9% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ▶ | 76.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| ✓ | 70.5% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| ✓ | 69.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 70.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
| ✓ | 37.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
Compiled 147 to 99 computations (32.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
#s(literal 27 binary64) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(* 4 (pow x 2)) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(* -2 x) |
9 |
(+ 9 (* 6 x)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
6 |
(+ 6 (* 4 x)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(+ 9 (* 4 (pow x 2))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(* 4 x) |
(* x (+ 4 (* 6 (/ 1 x)))) |
(/ 27/4 (pow x 2)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3) |
| 3.0ms | x | @ | inf | ((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3) |
| 2.0ms | x | @ | 0 | ((* (* x x) (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9)))) (* x x) x (+ (* (* 4 (* x x)) (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9))) (/ 27 (+ (* x (+ (* 4 x) 6)) 9))) (* 4 (* x x)) 4 (/ (* -2 x) (+ (* x (+ (* 4 x) 6)) 9)) (* -2 x) -2 (+ (* x (+ (* 4 x) 6)) 9) (+ (* 4 x) 6) 6 9 (/ 27 (+ (* x (+ (* 4 x) 6)) 9)) 27 (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (+ (* 4 (* x x)) 9) (+ (* -2 x) 3) 3) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 199 | 543 |
| 1 | 661 | 536 |
| 2 | 2015 | 516 |
| 3 | 7425 | 516 |
| 0 | 8591 | 486 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
x |
3 |
(+ 3 (* -2 x)) |
(* 4 (pow x 2)) |
(* -2/9 x) |
(* x (- (* 4/27 x) 2/9)) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(* -2 x) |
9 |
(+ 9 (* 6 x)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
6 |
(+ 6 (* 4 x)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(* (pow x 2) (+ 3 (* 2 x))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(+ 9 (* 4 (pow x 2))) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(/ -1/2 x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(* 4 x) |
(* x (+ 4 (* 6 (/ 1 x)))) |
(/ 27/4 (pow x 2)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(* 4 (pow x 4)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* 4 (pow x 3)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
| Outputs |
|---|
(* 3 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(pow x 2) |
(*.f64 x x) |
x |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* -2/9 x) |
(*.f64 #s(literal -2/9 binary64) x) |
(* x (- (* 4/27 x) 2/9)) |
(*.f64 (-.f64 (*.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x) |
(* x (- (* x (+ 4/27 (* -16/243 (pow x 2)))) 2/9)) |
(*.f64 (-.f64 (*.f64 (fma.f64 #s(literal -16/243 binary64) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x) |
(* x (- (* x (+ 4/27 (* (pow x 2) (- (* 32/729 x) 16/243)))) 2/9)) |
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 32/729 binary64) x) #s(literal 16/243 binary64)) (*.f64 x x) #s(literal 4/27 binary64)) x) #s(literal 2/9 binary64)) x) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) x) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 6 x)) |
(fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) |
(+ 9 (* x (+ 6 (* 4 x)))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) |
6 |
#s(literal 6 binary64) |
(+ 6 (* 4 x)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
(+ 3 (* x (- (* 8/9 (pow x 2)) 2))) |
(fma.f64 (-.f64 (*.f64 #s(literal 8/9 binary64) (*.f64 x x)) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(+ 3 (* x (- (* (pow x 2) (+ 8/9 (* -16/27 x))) 2))) |
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -16/27 binary64) x #s(literal 8/9 binary64)) x) x) #s(literal 2 binary64)) x #s(literal 3 binary64)) |
(* (pow x 2) (+ 3 (* 2 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* 8/3 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 8/3 binary64) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* (pow x 2) (+ 3 (* x (+ 2 (* x (+ 8/3 (* 16/9 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 16/9 binary64) x #s(literal 8/3 binary64)) x #s(literal 2 binary64)) x #s(literal 3 binary64)) x) x) |
(* 9 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 9 binary64)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* x (- (* 3 (/ 1 x)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) x) |
(/ -1/2 x) |
(/.f64 #s(literal -1/2 binary64) x) |
(/ (- (* 3/4 (/ 1 x)) 1/2) x) |
(/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) |
(/ (- (* 3/4 (/ 1 x)) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal 1/2 binary64)) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 4 binary64)))) |
(/ (- (+ (* 3/4 (/ 1 x)) (* 81/32 (/ 1 (pow x 4)))) (+ 1/2 (/ 27/16 (pow x 3)))) x) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 81/32 binary64) x) #s(literal -27/16 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 3/4 binary64) x))) x) |
(* (pow x 2) (+ 4 (* 6 (/ 1 x)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x) |
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2))))) |
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) |
(* 4 x) |
(*.f64 #s(literal 4 binary64) x) |
(* x (+ 4 (* 6 (/ 1 x)))) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
(/ 27/4 (pow x 2)) |
(/.f64 #s(literal 27/4 binary64) (*.f64 x x)) |
(/ (- 27/4 (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (/.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) x) x) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (* 81/8 (/ 1 x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (- (+ 27/4 (/ 729/32 (pow x 3))) (+ (* 81/8 (/ 1 x)) (* 2187/64 (/ 1 (pow x 4))))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (pow x 3) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x) (neg.f64 x)) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) x)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) (pow x 2))) (+ 2 (* 3 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* 4 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) |
(* (pow x 4) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* 4 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4 binary64)) |
(* (pow x 3) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) x) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) x) x #s(literal 9 binary64)) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -1 (/ (- 1/2 (* 3/4 (/ 1 x))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) x) #s(literal -1/2 binary64)) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- 3/4 (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal -3/4 binary64) x) (/.f64 #s(literal 27/16 binary64) (pow.f64 x #s(literal 3 binary64))))) x) |
(* -1 (/ (+ 1/2 (* -1 (/ (- (+ 3/4 (/ 81/32 (pow x 3))) (* 27/16 (/ 1 (pow x 2)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -27/16 binary64) (/.f64 #s(literal 81/32 binary64) x)) (*.f64 x x)) #s(literal 3/4 binary64)) x) #s(literal -1/2 binary64)) x) |
(/ (+ 27/4 (* -1 (/ (- 81/8 (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 729/32 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 27/4 binary64)) (/.f64 #s(literal 81/8 binary64) x)) (*.f64 x x)) |
(/ (+ 27/4 (* -1 (/ (- (+ 81/8 (/ 2187/64 (pow x 3))) (* 729/32 (/ 1 (pow x 2)))) x))) (pow x 2)) |
(/.f64 (-.f64 (-.f64 #s(literal 27/4 binary64) (/.f64 #s(literal 81/8 binary64) x)) (/.f64 (+.f64 (/.f64 #s(literal 2187/64 binary64) x) #s(literal -729/32 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) x #s(literal 9 binary64)) (neg.f64 x)) |
(* -1 (* (pow x 3) (+ 2 (* -1 (/ (- (* -1 (/ (+ 9 (* 27/2 (/ 1 x))) x)) 3) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/2 binary64) x) #s(literal -9 binary64)) x) #s(literal 3 binary64)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 160 |
| 0 | 40 | 160 |
| 1 | 154 | 138 |
| 2 | 1167 | 138 |
| 0 | 8229 | 132 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 x x) |
x |
(fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) |
(fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) |
#s(literal 6 binary64) |
#s(literal 9 binary64) |
(/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
#s(literal 27 binary64) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) |
#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (neg.f64 x)) (neg.f64 x)) |
(*.f64 (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
(*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(*.f64 x (*.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x)) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))) (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (pow.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))) (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)) (*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) x) x) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (*.f64 x x)))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x x) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 27 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (*.f64 x x) (*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) #s(literal 27 binary64) (*.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 (*.f64 x x) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 #s(literal 27 binary64) (*.f64 x x))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 27 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) |
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#s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) (-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (-.f64 (*.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) #s(literal 27 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(-.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)))) |
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64)))))) |
(+.f64 (/.f64 #s(literal 27 binary64) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (*.f64 (neg.f64 x) #s(literal -6 binary64)))))) |
(+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64))))) (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 x #s(literal -6 binary64)))))) |
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -2 binary64))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x))) |
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))) |
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x)) |
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Compiled 32 666 to 2 818 computations (91.4% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 786 | 2 | 788 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 1 | 2 |
| Done | 0 | 8 | 8 |
| Total | 787 | 11 | 798 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 80.9% | (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
| ✓ | 99.8% | (*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 68.9% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 75.9% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) | |
| 74.0% | (*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) #s(approx (+ (* x (+ (* 4 x) 6)) 9) #s(literal 9 binary64))))) | |
| ✓ | 99.8% | (*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
| ✓ | 70.5% | (*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| ✓ | 69.0% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 70.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
| ✓ | 37.5% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
Compiled 461 to 212 computations (54% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (fma.f64 x #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)) x) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x) (*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) x))) |
(*.f64 (*.f64 x x) (fma.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) (sqrt.f64 (*.f64 #s(literal -2 binary64) x)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) #s(approx (+ (* x (+ (* 4 x) 6)) 9) #s(literal 9 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 #s(literal -2 binary64) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))) |
(*.f64 (*.f64 x x) (fma.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal 4 binary64) x)) x (/.f64 #s(literal 27 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))))) |
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
2 calls:
| 5.0ms | x |
| 4.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 99.8% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| Inputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) (-.f64 #s(approx (- 3 x) (neg.f64 x)) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
2 calls:
| 2.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 97.9% | 3 | x |
Compiled 10 to 8 computations (20% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
2 calls:
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.0% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 69.0% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.38611519685730916 | 14159067137.270601 |
| 17.0ms | -162658608.33147982 | -0.4457465622497819 |
| 22.0ms | 304× | 0 | valid |
Compiled 468 to 410 computations (12.4% saved)
ival-mult: 9.0ms (80.5% of total)ival-sub: 1.0ms (8.9% of total)ival-true: 0.0ms (0% of total)adjust: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 53 |
| 1 | 33 | 53 |
| 2 | 50 | 53 |
| 3 | 67 | 53 |
| 4 | 87 | 53 |
| 5 | 111 | 53 |
| 6 | 269 | 53 |
| 7 | 1945 | 53 |
| 8 | 3582 | 53 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(if (<=.f64 x #s(literal -3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))))) |
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 38 | 23 |
| 2 | 230 | 23 |
| 3 | 1787 | 23 |
| 0 | 8989 | 21 |
| 0 | 24 | 65 |
| 1 | 63 | 65 |
| 2 | 172 | 65 |
| 3 | 603 | 65 |
| 4 | 2271 | 65 |
| 5 | 5291 | 65 |
| 0 | 8422 | 60 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 53 to 23 computations (56.6% saved)
Compiled 142 to 74 computations (47.9% saved)
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