Details

Time bar (total: 2.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms284×body80valid

simplify96.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1193
2433
3553
4593
5673
6873
71233
81983
93813
104543
116293
128893
1312603
1416843
1523543
1650023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (+ x 1.0) y) x)
0.0b
(* (+ x 1.0) y)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×sub-neg flip3-- flip3-+ diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 33
Calls
2 calls:
5.0ms
(- (* (+ x 1.0) y) x)
10.0ms
(* (+ x 1.0) y)

series53.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(- (* (+ x 1.0) y) x)
31.0ms
(* (+ x 1.0) y)

simplify75.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0149159
1616147
23110145
35001145

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(cbrt (+ x 1.0))
0.2b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
20.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series419.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(cbrt (+ x 1.0))
99.0ms
(cbrt (+ x 1.0))
100.0ms
(cbrt (+ x 1.0))
120.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify158.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0306792
11002747
24420669
35003665

prune283.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x 1.0) y)
0.0b
(sqrt (* (+ x 1.0) y))
0.0b
(sqrt (* (+ x 1.0) y))
0.3b
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
13.0ms
(* (+ x 1.0) y)
3.0ms
(sqrt (* (+ x 1.0) y))
3.0ms
(sqrt (* (+ x 1.0) y))
27.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

series301.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (+ x 1.0) y)
106.0ms
(sqrt (* (+ x 1.0) y))
101.0ms
(sqrt (* (+ x 1.0) y))
64.0ms
(* (sqrt (* (+ x 1.0) y)) (sqrt (* (+ x 1.0) y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0264526
11253461
25001443

prune219.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample293.0ms

Algorithm
intervals
Results
158.0ms9087×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid