Details

Time bar (total: 2.6s)

sample25.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1534
21454
32684
42904
52904

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.9b
(+ a (+ b (+ c d)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
9×sum-log distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
15.0ms
(+ b (+ c d))
47.0ms
(+ a (+ b (+ c d)))

series41.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(+ b (+ c d))
28.0ms
(+ a (+ b (+ c d)))

simplify82.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0170150
1667143
24074143
35001143

prune111.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b
(+ a (+ (+ b c) d))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
6×sum-log distribute-lft-out
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
66.0ms
(+ a (+ (+ b c) d))

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(+ a (+ (+ b c) d))

simplify65.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011292
146385
2303285
3500285

prune83.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.9b
(+ a (+ (+ b c) d))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
6×unpow-prod-down cube-prod sum-log
5×add-sqr-sqrt add-cube-cbrt
2×pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
1×+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
94.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
66.0ms
(+ a (+ (+ b c) d))

series80.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
27.0ms
(+ a (+ (+ b c) d))

simplify30.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210277
1906275
25001273

prune164.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ (+ a (+ b c)) d) 3))
2.9b
(+ (+ a (+ b c)) d)

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
6×unpow-prod-down cube-prod sum-log
5×add-sqr-sqrt add-cube-cbrt
2×pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
1×+-commutative cube-mult associate-+l+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
101.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
89.0ms
(+ (+ a (+ b c)) d)

series79.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(cbrt (pow (+ (+ a (+ b c)) d) 3))
27.0ms
(+ (+ a (+ b c)) d)

simplify29.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0204281
1851279
25002273

prune120.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.8b

regimes604.0ms

Accuracy

0% (1.1b remaining)

Error of 2.8b against oracle of 1.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample565.0ms

Algorithm
intervals
Results
194.0ms8000×pre80true
168.0ms8000×body80valid