
Time bar (total: 6.0s)
| 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)
| 736.0ms | 8 256× | 0 | valid |
ival-mult: 261.0ms (59.9% of total)ival-sub: 157.0ms (36% of total)exact: 8.0ms (1.8% of total)ival-true: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)adjust: 2.0ms (0.5% 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 |
| 31.0ms | 512× | 0 | valid |
Compiled 59 to 25 computations (57.6% saved)
ival-mult: 15.0ms (79.1% of total)ival-sub: 3.0ms (15.8% 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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) | |
| cost-diff | 1 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 23 |
| 0 | 11 | 23 |
| 1 | 23 | 23 |
| 2 | 71 | 23 |
| 3 | 223 | 23 |
| 4 | 517 | 23 |
| 5 | 958 | 23 |
| 6 | 1277 | 23 |
| 7 | 1678 | 23 |
| 8 | 2228 | 23 |
| 9 | 2812 | 23 |
| 10 | 3020 | 23 |
| 11 | 3176 | 23 |
| 12 | 3176 | 23 |
| 0 | 3176 | 21 |
| 1× | iter limit |
| 1× | saturated |
| 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 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) |
(*.f64 x x) |
x |
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 14.0ms | 256× | 0 | valid |
Compiled 25 to 9 computations (64% saved)
ival-mult: 5.0ms (73.6% of total)ival-sub: 1.0ms (14.7% 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)| Inputs |
|---|
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(* 2 x) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1.0ms | x | @ | -inf | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1.0ms | x | @ | 0 | ((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 63 | 64 |
| 2 | 172 | 64 |
| 3 | 605 | 64 |
| 4 | 2282 | 64 |
| 5 | 5298 | 64 |
| 0 | 8414 | 59 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
3 |
(+ 3 (* -2 x)) |
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(pow x 2) |
(* 2 x) |
(* -2 x) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 3)) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
| Outputs |
|---|
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* 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) |
(* 2 x) |
(*.f64 #s(literal 2 binary64) 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) |
(* -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) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 38 | 20 |
| 2 | 230 | 20 |
| 3 | 1783 | 20 |
| 0 | 9278 | 18 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 x x) |
(*.f64 x #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.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 (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)))) (neg.f64 (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)) (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 (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 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.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 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.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 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x)) |
(/.f64 (-.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 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x)) (*.f64 x x)) (-.f64 (+.f64 #s(literal 3 binary64) x) x)) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64)))) (-.f64 x (+.f64 x #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (+.f64 (pow.f64 (/.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 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.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 2 binary64)) (-.f64 (pow.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))) #s(literal 2 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 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 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 (pow.f64 (+.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 #s(literal 3 binary64) x) (+.f64 #s(literal 3 binary64) x) (-.f64 (*.f64 x x) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (+.f64 x #s(literal 3 binary64)) (+.f64 x #s(literal 3 binary64))) (*.f64 x (+.f64 x #s(literal 3 binary64)))))) |
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (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 -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.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 2 binary64)) (pow.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))) #s(literal 2 binary64)))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))) #s(literal 2 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 (neg.f64 (-.f64 (pow.f64 (/.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 3 binary64)) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.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 2 binary64)) (+.f64 (pow.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))) #s(literal 2 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 (neg.f64 (neg.f64 (+.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 (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 (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 #s(literal 9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x))))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.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 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64)))) |
(/.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 (-.f64 (*.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))) |
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(fma.f64 x (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 x (*.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(literal 3 binary64) (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)) (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))))) |
(+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(*.f64 x x) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1 binary64)) |
(pow.f64 x #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) (-.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(neg.f64 (*.f64 x x)) |
(sqrt.f64 (pow.f64 x #s(literal 4 binary64))) |
(fabs.f64 (*.f64 x x)) |
(exp.f64 (+.f64 (log.f64 x) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 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) |
Compiled 8 446 to 1 031 computations (87.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 301 | 9 | 310 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 302 | 9 | 311 |
| Status | Accuracy | Program |
|---|---|---|
| 88.9% | (fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| 97.2% | (/.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))) | |
| ▶ | 94.3% | (/.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))) |
| 67.1% | (/.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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 70.1% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) | |
| ▶ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ▶ | 70.1% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 232 to 172 computations (25.9% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| cost-diff | 0 | (/.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))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| cost-diff | 0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 139 |
| 0 | 38 | 139 |
| 1 | 70 | 136 |
| 2 | 196 | 136 |
| 3 | 643 | 136 |
| 4 | 1561 | 136 |
| 5 | 3112 | 136 |
| 6 | 4958 | 136 |
| 7 | 5855 | 136 |
| 8 | 6588 | 136 |
| 9 | 7628 | 136 |
| 0 | 8098 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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) |
x |
#s(literal 3 binary64) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x 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) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#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)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.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 x x) |
x |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
x |
#s(literal 3 binary64) |
(*.f64 x 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 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 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) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
#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)) |
x |
#s(literal 3 binary64) |
#s(literal -2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) | |
| accuracy | 19.111694376273114 | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| accuracy | 1.7347337665812872 | (/.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))) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.12890625 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.12890625 | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) | |
| accuracy | 31.949540544182504 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) | |
| accuracy | 0.09375 | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 36.0ms | 228× | 0 | valid |
| 33.0ms | 4× | 3 | valid |
| 25.0ms | 17× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
Compiled 142 to 24 computations (83.1% saved)
adjust: 34.0ms (41.3% of total)ival-div: 22.0ms (26.7% of total)ival-mult: 17.0ms (20.7% of total)ival-pow: 5.0ms (6.1% of total)ival-add: 3.0ms (3.6% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.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)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x 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(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))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow 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 |
(+ 9 (* 4 (pow x 2))) |
(* -2 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 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))))) |
(* 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 (* (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 | |
|---|---|---|---|---|
| 17.0ms | x | @ | 0 | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x 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) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 2.0ms | x | @ | -inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x 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) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 2.0ms | x | @ | inf | ((* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* (* x x) (- 3 (* x 2))) (* x x) (- 3 (* x 2)) (* (+ (* -2 x) 3) (* x 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) (* (* x x) (- 3 (* x 2))) (* (pow x 3) -2) (pow x 3)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 90 | 283 |
| 1 | 327 | 279 |
| 2 | 1112 | 274 |
| 3 | 4304 | 270 |
| 0 | 8541 | 249 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow x 2)) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(pow 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 |
(+ 9 (* 4 (pow x 2))) |
(* -2 (pow x 3)) |
(pow x 3) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* -2 x) |
(* x (- (* 3 (/ 1 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))))) |
(* 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 (* (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 #s(literal 3 binary64) x) x) |
(* (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) |
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) |
(* (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)) |
(* -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 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 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) |
(* (pow x 3) (- (* -1 (/ (+ 3 (* 9 (/ 1 x))) x)) 2)) |
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) x #s(literal -9 binary64)) x) |
(* (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 (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 (* (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)) 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))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 109 |
| 0 | 38 | 109 |
| 1 | 118 | 106 |
| 2 | 713 | 106 |
| 3 | 6512 | 106 |
| 0 | 8116 | 106 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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)) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
(*.f64 x x) |
#s(approx (- 3 (* x 2)) #s(literal 3 binary64)) |
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x 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(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 (*.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)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 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 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x) (-.f64 (*.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 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 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 #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (fma.f64 #s(literal 6 binary64) x #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) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x x)))))) |
(*.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 (-.f64 (*.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 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) (neg.f64 x)) |
(*.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 (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 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) |
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 x x)) |
(*.f64 x (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 x x)) (neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x))) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.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) (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -9 binary64) (*.f64 #s(literal 4 binary64) (*.f64 x x)))) (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (*.f64 x x) (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 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) #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 (*.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.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 (neg.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x)) (neg.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 x #s(literal -2 binary64) #s(literal -3 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))) |
(/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x) (-.f64 (*.f64 x #s(literal -2 binary64)) #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))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
(neg.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (neg.f64 x)) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) x) (neg.f64 x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal 3 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 #s(literal 2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64))) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (*.f64 x x) (*.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 x x))) |
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(*.f64 x (*.f64 (*.f64 x #s(literal -2 binary64)) x)) |
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) |
(neg.f64 (*.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) x))) |
(neg.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 x x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x #s(literal -2 binary64)))) |
(fma.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64))) |
(fma.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64)) (*.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64))) |
(+.f64 (*.f64 #s(literal -2 binary64) (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)) |
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.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 (*.f64 x x) (neg.f64 x)) |
(*.f64 (*.f64 x x) x) |
(*.f64 x (*.f64 x x)) |
(pow.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 x #s(literal 3/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) #s(literal 3 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64)) |
(pow.f64 x #s(literal 3 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))))) |
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))) |
(neg.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))) |
(neg.f64 (*.f64 x (*.f64 (neg.f64 x) x))) |
(neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)) |
(fabs.f64 (pow.f64 x #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 3 binary64))) (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) |
(+.f64 (sinh.f64 (*.f64 (log.f64 x) #s(literal 3 binary64))) (cosh.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 20 028 to 2 292 computations (88.6% saved)
13 alts after pruning (9 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 805 | 9 | 814 |
| Fresh | 4 | 0 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 810 | 13 | 823 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.9% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| 94.3% | (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) | |
| 68.1% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -2 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))))) | |
| ▶ | 66.4% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
| 75.7% | (/.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))) | |
| ▶ | 96.8% | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ▶ | 68.1% | (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ▶ | 64.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| 70.1% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| ✓ | 70.1% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 372 to 253 computations (32% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 4 binary64) (*.f64 x x)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) | |
| cost-diff | 0 | (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) | |
| cost-diff | 0 | (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 x #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 x #s(literal -2 binary64)) x) | |
| cost-diff | 4 | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| cost-diff | 0 | (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 259 |
| 0 | 57 | 257 |
| 1 | 105 | 250 |
| 2 | 282 | 250 |
| 3 | 1056 | 250 |
| 4 | 3924 | 250 |
| 0 | 8493 | 250 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 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)) |
#s(literal 3 binary64) |
x |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 x x) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.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) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
x |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(literal 9 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.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)) |
| Outputs |
|---|
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
(*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal -9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
(/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 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)) |
#s(literal 3 binary64) |
x |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
x |
#s(literal -2 binary64) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) (*.f64 x x)) |
(*.f64 x x) |
#s(literal 3 binary64) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(*.f64 (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x)) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) |
x |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
#s(literal 9 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) |
(-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) |
(-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.18359375 | (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) | |
| accuracy | 1.7737962665812872 | (*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) | |
| accuracy | 15.621287867251198 | (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) | |
| accuracy | 0.05859375 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) | |
| accuracy | 1.7347337665812872 | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) | |
| accuracy | 31.554521016872055 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0 | (*.f64 x #s(literal -2 binary64)) | |
| accuracy | 0.1484375 | (*.f64 (*.f64 x x) #s(literal 3 binary64)) | |
| accuracy | 7.039004703245763 | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) | |
| accuracy | 0.09375 | (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) | |
| accuracy | 31.949540544182504 | #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.0078125 | (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.05859375 | (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) | |
| accuracy | 0.16634750976844204 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
| 125.0ms | 228× | 0 | valid |
| 7.0ms | 17× | 1 | valid |
| 4.0ms | 7× | 2 | valid |
| 3.0ms | 4× | 3 | valid |
Compiled 262 to 34 computations (87% saved)
ival-sub: 54.0ms (45.2% of total)ival-mult: 37.0ms (31% of total)ival-div: 18.0ms (15.1% of total)ival-add: 5.0ms (4.2% of total)adjust: 4.0ms (3.4% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.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)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.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) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
| Outputs |
|---|
(* 3 (pow 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 |
(+ 9 (* 4 (pow x 2))) |
(pow x 2) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 (pow x 2)) |
(* -2 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(* -1/9 x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
-9 |
(- (* 4 (pow x 2)) 9) |
(* 4 (pow x 2)) |
(* 1/3 x) |
(* x (+ 1/3 (* 2/9 x))) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* -27 x) |
(* x (- (* -18 x) 27)) |
(* x (- (* x (- (* -12 x) 18)) 27)) |
(* x (- (* x (- (* x (- (* -8 x) 12)) 18)) 27)) |
(* -2 (pow x 3)) |
(* -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))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 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))))) |
(/ 1/4 x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) |
(* -8 (pow x 4)) |
(* -1 (* (pow x 4) (+ 8 (* 12 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)) |
(* (pow x 4) (- (* -1 (/ (+ 18 (* 27 (/ 1 x))) (pow x 2))) (+ 8 (* 12 (/ 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 (* x (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
(* (pow x 4) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | inf | ((* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (* (/ x (- (* 4 (* x x)) 9)) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) (/ x (- (* 4 (* x x)) 9)) (- (* 4 (* x x)) 9) (* 4 (* x x)) (/ x (+ (* x -2) 3)) (+ (* -2 x) 3) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) |
| 3.0ms | x | @ | -inf | ((* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (* (/ x (- (* 4 (* x x)) 9)) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) (/ x (- (* 4 (* x x)) 9)) (- (* 4 (* x x)) 9) (* 4 (* x x)) (/ x (+ (* x -2) 3)) (+ (* -2 x) 3) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) |
| 3.0ms | x | @ | 0 | ((* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* 4 (* x x)) 9) x) x) (+ (* -2 x) 3)) (* (* (+ (* 4 (* x x)) 9) x) x) (* (+ (* 4 (* x x)) 9) x) (* (/ x (- (* 4 (* x x)) 9)) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) (/ x (- (* 4 (* x x)) 9)) (- (* 4 (* x x)) 9) (* 4 (* x x)) (/ x (+ (* x -2) 3)) (+ (* -2 x) 3) (* (- (* x -2) 3) (* (+ (* 4 (* x x)) 9) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 265 | 744 |
| 1 | 841 | 728 |
| 2 | 2626 | 696 |
| 0 | 8572 | 663 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow 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 |
(+ 9 (* 4 (pow x 2))) |
(pow x 2) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 (pow x 2)) |
(* -2 x) |
(* 9 (pow x 2)) |
(* (pow x 2) (+ 9 (* 4 (pow x 2)))) |
(* 9 x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(* -1/9 x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
-9 |
(- (* 4 (pow x 2)) 9) |
(* 4 (pow x 2)) |
(* 1/3 x) |
(* x (+ 1/3 (* 2/9 x))) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* -27 x) |
(* x (- (* -18 x) 27)) |
(* x (- (* x (- (* -12 x) 18)) 27)) |
(* x (- (* x (- (* x (- (* -8 x) 12)) 18)) 27)) |
(* -2 (pow x 3)) |
(* -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))))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* 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))))) |
(/ 1/4 x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
-1/2 |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) |
(* -8 (pow x 4)) |
(* -1 (* (pow x 4) (+ 8 (* 12 (/ 1 x))))) |
(* (pow x 4) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)) |
(* (pow x 4) (- (* -1 (/ (+ 18 (* 27 (/ 1 x))) (pow x 2))) (+ 8 (* 12 (/ 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 (* x (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
(* (pow x 4) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)) |
| 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) (+ 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 |
#s(literal 9 binary64) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(* (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) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -2 x)) |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal -2 binary64)) |
(* -2 x) |
(*.f64 #s(literal -2 binary64) 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) |
(* -1/9 x) |
(*.f64 #s(literal -1/9 binary64) x) |
(* x (- (* -4/81 (pow x 2)) 1/9)) |
(*.f64 (-.f64 (*.f64 #s(literal -4/81 binary64) (*.f64 x x)) #s(literal 1/9 binary64)) x) |
(* x (- (* (pow x 2) (- (* -16/729 (pow x 2)) 4/81)) 1/9)) |
(*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -16/729 binary64) (*.f64 x x)) #s(literal 4/81 binary64)) x) x) #s(literal 1/9 binary64)) x) |
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -64/6561 (pow x 2)) 16/729)) 4/81)) 1/9)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -64/6561 binary64) (*.f64 x x)) #s(literal 16/729 binary64)) x) x) #s(literal 4/81 binary64)) (*.f64 x x)) #s(literal 1/9 binary64)) x) |
-9 |
#s(literal -9 binary64) |
(- (* 4 (pow x 2)) 9) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(* 4 (pow x 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 2/9 x))) |
(*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(* -27 x) |
(*.f64 #s(literal -27 binary64) x) |
(* x (- (* -18 x) 27)) |
(*.f64 (-.f64 (*.f64 #s(literal -18 binary64) x) #s(literal 27 binary64)) x) |
(* x (- (* x (- (* -12 x) 18)) 27)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -12 binary64) x) #s(literal 18 binary64)) x) #s(literal 27 binary64)) x) |
(* x (- (* x (- (* x (- (* -8 x) 12)) 18)) 27)) |
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -8 binary64) x) #s(literal 12 binary64)) x) #s(literal 18 binary64)) x) #s(literal 27 binary64)) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 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))) |
(* (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))) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -3/4 binary64)) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x) #s(literal 1/2 binary64)) x) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal -3/4 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) |
(* 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 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 (/.f64 #s(literal 9 binary64) x) 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) |
(/ 1/4 x) |
(/.f64 #s(literal 1/4 binary64) x) |
(/ (+ 1/4 (* 9/16 (/ 1 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64)) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (/ 81/64 (pow x 4)))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/4 binary64)) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) x) |
(/ (+ 1/4 (+ (* 9/16 (/ 1 (pow x 2))) (+ (* 729/256 (/ 1 (pow x 6))) (/ 81/64 (pow x 4))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 81/64 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -729/256 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) x) |
(* (pow x 2) (- 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(-.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(* -8 (pow x 4)) |
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -8 binary64)) |
(* -1 (* (pow x 4) (+ 8 (* 12 (/ 1 x))))) |
(*.f64 (+.f64 (/.f64 #s(literal -12 binary64) x) #s(literal -8 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 12 (* 18 (/ 1 x))) x)) 8)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -18 binary64) x) #s(literal -12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* (pow x 4) (- (* -1 (/ (+ 18 (* 27 (/ 1 x))) (pow x 2))) (+ 8 (* 12 (/ 1 x))))) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -18 binary64)) x) #s(literal -12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))) |
(* -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))) |
(* -1 (* x (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(neg.f64 (fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 9/8 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 3/4 binary64)))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal -1/2 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)) |
(* -1 (/ (- (* -1 (/ (+ 9/16 (* 81/64 (/ 1 (pow x 2)))) (pow x 2))) 1/4) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal -81/64 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -9/16 binary64) (*.f64 x x))) #s(literal 1/4 binary64)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (+ 81/64 (* 729/256 (/ 1 (pow x 2)))) (pow x 4))) (+ 1/4 (* 9/16 (/ 1 (pow x 2))))) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -729/256 binary64) (*.f64 x x)) #s(literal -81/64 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 9/16 binary64) (*.f64 x x)) #s(literal 1/4 binary64))) (neg.f64 x)) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(* (pow x 4) (- (* -1 (/ (+ 12 (+ (* 18 (/ 1 x)) (/ 27 (pow x 2)))) x)) 8)) |
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -27 binary64) x) #s(literal -18 binary64)) x) #s(literal -12 binary64)) x) #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 196 |
| 0 | 57 | 185 |
| 1 | 183 | 178 |
| 2 | 1141 | 178 |
| 0 | 8373 | 178 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
(*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) x) |
(*.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)) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(*.f64 (*.f64 x #s(literal -2 binary64)) x) |
(*.f64 x #s(literal -2 binary64)) |
(*.f64 (*.f64 x x) #s(literal 3 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.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) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64)) |
(*.f64 #s(literal 4 binary64) (*.f64 x x)) |
(/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 x (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (neg.f64 x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (neg.f64 x)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 x (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (/.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (/.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) x)) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(*.f64 (/.f64 (*.f64 x x) (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (/.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
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(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x)) (*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x)) (*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)))) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x)) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64))) (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64))) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64))) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x) (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)) #s(literal 81 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x) (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x) (neg.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 64 binary64) #s(literal 729 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (-.f64 #s(literal 81 binary64) (*.f64 #s(literal 36 binary64) (*.f64 x x)))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x)) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (-.f64 (*.f64 (*.f64 x x) #s(literal 4 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) (fma.f64 x #s(literal -6 binary64) #s(literal 9 binary64)))) |
Compiled 37 262 to 3 444 computations (90.8% saved)
13 alts after pruning (7 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 148 | 4 | 1 152 |
| Fresh | 1 | 3 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 152 | 13 | 1 165 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.9% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| ▶ | 66.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
| 68.1% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -2 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))))) | |
| ▶ | 75.7% | (/.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))) |
| ▶ | 67.3% | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
| ▶ | 67.3% | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| ✓ | 64.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ▶ | 70.1% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 47.5% | (*.f64 #s(approx (/ x (- (* 4 (* x x)) 9)) (/.f64 #s(literal 1/4 binary64) x)) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) | |
| ✓ | 70.1% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 381 to 264 computations (30.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) | |
| cost-diff | 0 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) | |
| cost-diff | 0 | #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) | |
| cost-diff | 0 | (*.f64 x x) | |
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) x) | |
| cost-diff | 0 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| cost-diff | 0 | #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) | |
| cost-diff | 0 | (/.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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 258 |
| 0 | 55 | 253 |
| 1 | 97 | 253 |
| 2 | 219 | 253 |
| 3 | 672 | 253 |
| 4 | 2248 | 253 |
| 5 | 4446 | 253 |
| 6 | 5481 | 253 |
| 7 | 5772 | 253 |
| 8 | 5926 | 253 |
| 9 | 6244 | 253 |
| 10 | 7060 | 253 |
| 11 | 7354 | 253 |
| 12 | 7364 | 253 |
| 13 | 7364 | 253 |
| 14 | 7364 | 253 |
| 15 | 7364 | 253 |
| 16 | 7662 | 253 |
| 17 | 7662 | 253 |
| 0 | 7662 | 253 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
#s(literal 9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
#s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) |
#s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(*.f64 x x) |
x |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
| Outputs |
|---|
(/.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)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))) (*.f64 x x)) |
(*.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)) |
#s(literal 9 binary64) |
x |
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 (*.f64 x x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
x |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(*.f64 #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
#s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(literal 1/3 binary64) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
#s(literal 4 binary64) |
(*.f64 x x) |
x |
#s(literal 9 binary64) |
(*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) |
#s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
#s(literal 1/3 binary64) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) (*.f64 x x)) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) |
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(*.f64 x x) |
x |
#s(literal 4 binary64) |
#s(literal 9 binary64) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
#s(literal -2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.13761257300974952 | (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) | |
| accuracy | 1.7347337665812872 | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) | |
| accuracy | 31.554521016872055 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.05859375 | (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) | |
| accuracy | 0.16634750976844204 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) | |
| accuracy | 0.3359375 | (*.f64 #s(literal 1/3 binary64) x) | |
| accuracy | 31.940831470451013 | #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) | |
| accuracy | 0.0 | (*.f64 x x) | |
| accuracy | 0.1640625 | (*.f64 #s(literal 1/3 binary64) (*.f64 x x)) | |
| accuracy | 0.16634750976844204 | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) | |
| accuracy | 31.729611769624057 | #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) x) | |
| accuracy | 0.09375 | (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) | |
| accuracy | 0.1171875 | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) | |
| accuracy | 31.554521016872055 | #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) | |
| accuracy | 0.05859375 | (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) | |
| accuracy | 0.0859375 | (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) | |
| accuracy | 1.7347337665812872 | (/.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))) | |
| accuracy | 31.324350451311066 | #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) |
| 72.0ms | 228× | 0 | valid |
| 5.0ms | 17× | 1 | valid |
| 3.0ms | 7× | 2 | valid |
| 2.0ms | 4× | 3 | valid |
Compiled 226 to 29 computations (87.2% saved)
ival-add: 28.0ms (43.1% of total)ival-mult: 21.0ms (32.3% of total)const: 8.0ms (12.3% of total)ival-div: 5.0ms (7.7% of total)adjust: 2.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.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)) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
#s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(* 3 (pow 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 |
(+ 9 (* 4 (pow x 2))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(pow x 2) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 2/9 x))) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* -2 (pow x 3)) |
(* -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))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
-1/2 |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 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) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
3 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 52.0ms | x | @ | 0 | ((/ (* (* (+ (* 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) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (* (/ x (+ (* x -2) 3)) x) (/ (* (+ (* (* x x) 4) 9) (* x x)) (+ (* -2 x) 3)) (* (+ (* (* x x) 4) 9) (* x x)) (+ (* (* x x) 4) 9) (* 1/3 (* x x)) (/ x (+ (* x -2) 3)) (* 1/3 x)) |
| 2.0ms | x | @ | -inf | ((/ (* (* (+ (* 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) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (* (/ x (+ (* x -2) 3)) x) (/ (* (+ (* (* x x) 4) 9) (* x x)) (+ (* -2 x) 3)) (* (+ (* (* x x) 4) 9) (* x x)) (+ (* (* x x) 4) 9) (* 1/3 (* x x)) (/ x (+ (* x -2) 3)) (* 1/3 x)) |
| 2.0ms | x | @ | inf | ((/ (* (* (+ (* 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) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (* -2 x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (+ (* 4 (* x x)) 9) (* x x) (* (/ x (+ (* x -2) 3)) x) (* (+ (* 4 (* x x)) 9) (* (/ x (+ (* x -2) 3)) x)) (* (/ x (+ (* x -2) 3)) x) (/ (* (+ (* (* x x) 4) 9) (* x x)) (+ (* -2 x) 3)) (* (+ (* (* x x) 4) 9) (* x x)) (+ (* (* x x) 4) 9) (* 1/3 (* x x)) (/ x (+ (* x -2) 3)) (* 1/3 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 484 |
| 1 | 581 | 468 |
| 2 | 1935 | 450 |
| 3 | 6821 | 447 |
| 0 | 8313 | 413 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 3 (pow 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 |
(+ 9 (* 4 (pow x 2))) |
(* (pow x 2) (+ 3 (* -2 x))) |
(* 3 x) |
(* x (+ 3 (* -2 x))) |
3 |
(+ 3 (* -2 x)) |
(* -2 x) |
(pow x 2) |
(* 1/3 (pow x 2)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* 1/3 x) |
(* x (+ 1/3 (* 2/9 x))) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(* -2 (pow x 3)) |
(* -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))))) |
(* (pow x 3) (- (* 3 (/ 1 x)) 2)) |
(* -2 (pow x 2)) |
(* (pow x 2) (- (* 3 (/ 1 x)) 2)) |
(* x (- (* 3 (/ 1 x)) 2)) |
(* -1/2 x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
-1/2 |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 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) (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (- 2 (* 3 (/ 1 x))))) |
(* -1 (* x (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
| 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) (+ 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 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) x) |
(* 9 x) |
(*.f64 #s(literal 9 binary64) x) |
(* x (+ 9 (* 4 (pow x 2)))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
9 |
#s(literal 9 binary64) |
(+ 9 (* 4 (pow x 2))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 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) |
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) |
(pow x 2) |
(*.f64 x x) |
(* 1/3 (pow x 2)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(* (pow x 2) (+ 1/3 (* 2/9 x))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(* (pow x 2) (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) x) |
(* 1/3 x) |
(*.f64 #s(literal 1/3 binary64) x) |
(* x (+ 1/3 (* 2/9 x))) |
(*.f64 (fma.f64 #s(literal 2/9 binary64) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (+ 2/9 (* 4/27 x))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 4/27 binary64) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(* x (+ 1/3 (* x (+ 2/9 (* x (+ 4/27 (* 8/81 x))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 8/81 binary64) x #s(literal 4/27 binary64)) x #s(literal 2/9 binary64)) x #s(literal 1/3 binary64)) x) |
(* -2 (pow x 3)) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) |
(* -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 x x) #s(literal 4 binary64) #s(literal 9 binary64)) x) |
(* 4 (pow x 2)) |
(*.f64 (*.f64 x x) #s(literal 4 binary64)) |
(* (pow x 2) (+ 4 (* 9 (/ 1 (pow x 2))))) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 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))) |
(* -2 (pow x 2)) |
(*.f64 (*.f64 #s(literal -2 binary64) x) x) |
(* (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) |
(* -1/2 x) |
(*.f64 #s(literal -1/2 binary64) x) |
(* -1 (* x (+ 1/2 (* 3/4 (/ 1 x))))) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal -3/4 binary64)) |
(* x (- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2)) |
(*.f64 (-.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x) #s(literal 1/2 binary64)) x) |
(* x (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x))))) |
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) (*.f64 x x)) #s(literal 1/2 binary64)) x #s(literal -3/4 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* -1 (+ 1/2 (* 3/4 (/ 1 x)))) |
(-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 3/4 binary64) x)) |
(- (* -1 (/ (+ 3/4 (* 9/8 (/ 1 x))) x)) 1/2) |
(-.f64 (/.f64 (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x)) x) #s(literal 1/2 binary64)) |
(- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) (pow x 2))) (+ 1/2 (* 3/4 (/ 1 x)))) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
(* -1 (* (pow x 3) (+ 2 (+ (* 3 (/ 1 x)) (/ 9 (pow x 2)))))) |
(*.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) 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 (/.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))) |
(* -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 (+ 1/2 (+ (* 3/4 (/ 1 x)) (/ 9/8 (pow x 2)))))) |
(fma.f64 #s(literal -1/2 binary64) x (+.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -9/8 binary64) x))) |
(* -1 (* x (+ 1/2 (* -1 (/ (- (* -1 (/ (+ 9/8 (* 27/16 (/ 1 x))) x)) 3/4) x))))) |
(fma.f64 #s(literal -1/2 binary64) x (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64))) |
(- (* -1 (/ (+ 3/4 (+ (* 9/8 (/ 1 x)) (/ 27/16 (pow x 2)))) x)) 1/2) |
(-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal -27/16 binary64) x) #s(literal -9/8 binary64)) x) #s(literal 3/4 binary64)) x) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 213 |
| 0 | 55 | 208 |
| 1 | 161 | 208 |
| 2 | 648 | 208 |
| 3 | 5030 | 208 |
| 0 | 8522 | 208 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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)) |
(*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) |
#s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) |
(*.f64 #s(literal -2 binary64) x) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) |
(*.f64 x x) |
#s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
(*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) |
(fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
#s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #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 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (-.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 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (-.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 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64)))) |
(*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x))) |
(*.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64)) (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) x) |
(*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)) |
(*.f64 (neg.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) x)) |
(*.f64 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64))))) |
(*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) x) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) |
(*.f64 (*.f64 x x) (/.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) |
(*.f64 (*.f64 x x) (/.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))) |
(*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) x)) |
(*.f64 x (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (-.f64 (*.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 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.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 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal -4 binary64) x) #s(literal -6 binary64)) #s(literal 9 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 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) |
(neg.f64 (*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))) (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(fma.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(fma.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))) |
(+.f64 (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))) |
(+.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))))) (*.f64 (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)) (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64))) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 x x)))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (*.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal -6 binary64) x #s(literal 9 binary64)))) |
(*.f64 (neg.f64 (neg.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)))) (*.f64 x x)) |
(*.f64 (neg.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) (*.f64 x x)) |
(*.f64 (*.f64 x x) (neg.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)))) |
(*.f64 (*.f64 x x) #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 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)) (*.f64 x x)) |
(*.f64 x (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x)) |
(neg.f64 (*.f64 (*.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64)) x) x)) |
(*.f64 (neg.f64 #s(approx (+ (* 4 (* x x)) 9) #s(literal 9 binary64))) x) |
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(-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 16 binary64) (-.f64 (*.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)))) (/.f64 #s(literal 81 binary64) (-.f64 (*.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 #s(literal 729 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal 81 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal 81 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal 81 binary64)))) (/.f64 #s(literal 729 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 36 binary64) (*.f64 x x) #s(literal 81 binary64))))) |
(+.f64 (*.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 #s(literal 1/3 binary64) x) x) |
(*.f64 #s(literal 1/3 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/3 binary64)) |
(*.f64 x (*.f64 #s(literal 1/3 binary64) x)) |
(neg.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) x) x)) |
#s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) |
(*.f64 #s(literal 1/3 binary64) x) |
(*.f64 x #s(literal 1/3 binary64)) |
(neg.f64 (*.f64 #s(literal 1/3 binary64) x)) |
Compiled 18 632 to 1 476 computations (92.1% saved)
13 alts after pruning (3 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 594 | 1 | 595 |
| Fresh | 0 | 2 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 595 | 13 | 608 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 88.9% | (fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
| ✓ | 66.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
| 68.1% | (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -2 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))))) | |
| ✓ | 67.3% | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
| ✓ | 67.3% | (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
| ✓ | 99.8% | (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (*.f64 x x)) |
| ✓ | 99.8% | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
| 64.0% | (*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x))) | |
| ✓ | 64.5% | (*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
| ✓ | 70.1% | (*.f64 (*.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| ✓ | 64.5% | (*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 47.5% | (*.f64 #s(approx (/ x (- (* 4 (* x x)) 9)) (/.f64 #s(literal 1/4 binary64) x)) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) | |
| ✓ | 70.1% | #s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) |
Compiled 625 to 268 computations (57.1% 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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
(*.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) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(approx (* (/ x (+ (* x -2) 3)) x) (*.f64 #s(literal 1/3 binary64) (*.f64 x x)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 #s(approx (/ x (+ (* x -2) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)) |
(fma.f64 (*.f64 x x) (*.f64 #s(literal -2 binary64) x) (*.f64 (*.f64 x x) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 x #s(literal -2 binary64)) x) x (*.f64 (*.f64 x x) #s(literal 3 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 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 4 binary64) #s(literal 9 binary64)) (*.f64 x x)) #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x))) |
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) (*.f64 (/.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))) 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)) (*.f64 x x)) (fma.f64 #s(literal -2 binary64) x #s(literal 3 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 #s(approx (/ x (- (* 4 (* x x)) 9)) (/.f64 #s(literal 1/4 binary64) x)) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(*.f64 (/.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 9 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (*.f64 x #s(literal -2 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))))) |
#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 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) |
2 calls:
| 23.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 6.0ms | x |
| 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 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x) |
| Outputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))) |
(*.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))) |
2 calls:
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 3 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 97.0% | 3 | 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) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
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 |
|---|---|---|
| 64.5% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 64.5% | 1 | x |
Compiled 10 to 8 computations (20% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| 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 |
|---|---|---|
| 64.5% | 1 | (*.f64 (*.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))) |
| 64.5% | 1 | x |
Compiled 10 to 8 computations (20% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | 0.027101607517881737 | 1871.6606644892995 |
| 14.0ms | -5.232706083178701 | -0.012680790026279885 |
| 19.0ms | 272× | 0 | valid |
Compiled 420 to 368 computations (12.4% saved)
ival-mult: 7.0ms (69.9% of total)ival-sub: 2.0ms (20% 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 | 23 | 63 |
| 1 | 32 | 63 |
| 2 | 44 | 63 |
| 3 | 60 | 63 |
| 4 | 80 | 63 |
| 5 | 104 | 63 |
| 6 | 262 | 63 |
| 7 | 1837 | 63 |
| 8 | 3520 | 63 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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 #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 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #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 #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))))) |
(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 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)) |
(*.f64 (*.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x) |
(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 64 |
| 1 | 63 | 64 |
| 2 | 172 | 64 |
| 3 | 605 | 64 |
| 4 | 2282 | 64 |
| 5 | 5298 | 64 |
| 0 | 8414 | 59 |
| 0 | 24 | 109 |
| 0 | 38 | 109 |
| 1 | 118 | 106 |
| 2 | 713 | 106 |
| 3 | 6512 | 106 |
| 0 | 8116 | 106 |
| 0 | 7 | 20 |
| 0 | 11 | 20 |
| 1 | 38 | 20 |
| 2 | 230 | 20 |
| 3 | 1783 | 20 |
| 0 | 9278 | 18 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 63 to 25 computations (60.3% saved)
Compiled 162 to 78 computations (51.9% saved)
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