Details

Time bar (total: 2.8s)

sample25.0ms

Algorithm
intervals
Results
5.0ms256×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: 3.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.4b
(+ b (+ c d))
2.6b
(+ a (+ b (+ c d)))

rewrite62.0ms

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))
46.0ms
(+ a (+ b (+ c d)))

series44.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ b (+ c d))
30.0ms
(+ a (+ b (+ c d)))

simplify80.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0170150
1667143
24074143
35001143

prune77.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.6b
(+ a (+ (+ b c) d))

rewrite64.0ms

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:
63.0ms
(+ a (+ (+ b c) d))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(+ a (+ (+ b c) d))

simplify62.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011292
146385
2303285
3500285

prune50.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
2.6b
(+ a (+ (+ b c) d))

rewrite160.0ms

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:
96.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
63.0ms
(+ a (+ (+ b c) d))

series78.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
30.0ms
(+ a (+ (+ b c) d))

simplify28.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0210277
1906275
25001273

prune110.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.7b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
0.6b
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
2.6b
(+ a (+ (+ b c) d))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-prod
78×*-un-lft-identity
42×distribute-lft-out
39×unpow-prod-down cube-prod
15×add-sqr-sqrt add-cube-cbrt
12×add-log-exp
6×cube-div cbrt-div sum-log
4×cube-mult unpow3 sqr-pow
3×pow1 add-exp-log flip3-+ add-cbrt-cube flip-+
2×pow1/3 rem-cbrt-cube
1×+-commutative associate-+r+
Counts
3 → 105
Calls
3 calls:
95.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
196.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
65.0ms
(+ a (+ (+ b c) d))

series131.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
49.0ms
(cbrt (pow (cbrt (pow (+ a (+ (+ b c) d)) 3)) 3))
29.0ms
(+ a (+ (+ b c) d))

simplify37.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0342702
11021698
25002694

prune125.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 1.7b

regimes602.0ms

Accuracy

0% (0.8b remaining)

Error of 2.8b against oracle of 2.0b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0134
1134

end0.0ms

sample625.0ms

Algorithm
intervals
Results
173.0ms8000×pre80true
164.0ms8000×body80valid