Details

Time bar (total: 5.4s)

sample30.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms230×body80nan

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0217
1416
2696
3956
41256
51406
61426
71426

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
128×times-frac
94×add-sqr-sqrt *-un-lft-identity
66×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 132
Calls
2 calls:
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
10.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

series137.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
86.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
06151625
123521553
250021553

prune314.0ms

Filtered
138 candidates to 105 candidates (76.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1362138
Fresh011
Picked011
Done000
Total1364140

Merged error: 0b

Counts
140 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp associate-/r/ flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg flip3-+ pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 73
Calls
2 calls:
8.0ms
(* 6.0 (- x 1.0))
16.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series126.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* 6.0 (- x 1.0))
86.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify64.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0410659
11943471
25001463

prune118.0ms

Filtered
79 candidates to 45 candidates (57.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done011
Total79483

Merged error: 0b

Counts
83 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.1b
(/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
0.1b
(/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
0.6b
(* (/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))) (/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
488×times-frac
396×add-sqr-sqrt
301×*-un-lft-identity
277×sqrt-prod
223×add-cube-cbrt
85×associate-*r*
53×associate-*l*
33×distribute-lft-out-- difference-of-squares
32×add-exp-log associate-/r*
28×unswap-sqr
23×div-inv
20×add-cbrt-cube
11×div-exp
9×pow1
8×prod-exp associate-/l*
6×cbrt-undiv
5×sqrt-div
4×expm1-log1p-u associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×rec-exp pow-flip 1-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times flip3-- div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- inv-pow
Counts
4 → 426
Calls
4 calls:
3.0ms
(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
15.0ms
(/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
8.0ms
(/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
89.0ms
(* (/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))) (/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))

series783.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
227.0ms
(/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
180.0ms
(/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)))
236.0ms
(* (/ 1 (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))) (/ (- x 1.0) (sqrt (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))))

simplify121.0ms

Algorithm
egg-herbie
Counts
438 → 438
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
015256963
150016478

prune1.1s

Filtered
438 candidates to 289 candidates (66.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New4380438
Fresh011
Picked011
Done022
Total4384442

Merged error: 0b

Counts
442 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
0.0b
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
0.1b
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
0.9b
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
568×times-frac
398×add-sqr-sqrt *-un-lft-identity
266×add-cube-cbrt
146×cbrt-prod
140×unpow-prod-down cube-prod
66×distribute-lft-out-- difference-of-squares
32×div-inv
17×add-exp-log add-cbrt-cube
16×associate-/r*
8×associate-/l*
7×cbrt-undiv div-exp
5×pow1 associate-/r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-exp rem-cube-cbrt
2×cube-div cube-mult frac-2neg unpow3 clear-num associate-/l/ sqr-pow
1×pow-to-exp cbrt-div flip3-- pow-pow pow1/3 div-sub flip-- rem-cbrt-cube
Counts
4 → 454
Calls
4 calls:
3.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
10.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
22.0ms
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
20.0ms
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

series364.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)
90.0ms
(/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0))
130.0ms
(pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3)
92.0ms
(cbrt (pow (/ (- x 1.0) (/ (fma (sqrt x) 4.0 (+ x 1.0)) 6.0)) 3))

simplify127.0ms

Algorithm
egg-herbie
Counts
466 → 466
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
015466699
150016506

prune841.0ms

Filtered
466 candidates to 234 candidates (50.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New4660466
Fresh000
Picked011
Done033
Total4664470

Merged error: 0b

Counts
470 → 4

regimes41.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116
1116

end0.0ms

sample821.0ms

Algorithm
intervals
Results
329.0ms8000×body80valid
292.0ms8056×body80nan