Details

Time bar (total: 2.0s)

sample24.0ms

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: 4.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ b (+ c d))
3.0b
(+ a (+ b (+ c d)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
2 → 32
Calls
2 calls:
5.0ms
(+ b (+ c d))
8.0ms
(+ a (+ b (+ c d)))

series48.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ 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

prune76.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.5b

localize6.0ms

Local error

Found 1 expressions with local error:

3.0b
(+ a (+ (+ b c) d))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
sum-log distribute-lft-out
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+
Counts
1 → 17
Calls
1 calls:
8.0ms
(+ a (+ (+ b c) d))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(+ a (+ (+ b c) d))

simplify63.0ms

Algorithm
egg-herbie
Counts
20 → 20
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
011292
146385
2303285
3500285

prune56.0ms

Pruning

11 alts after pruning (10 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))
3.0b
(+ a (+ (+ b c) d))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
unpow-prod-down cube-prod sum-log
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
8.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms
(+ a (+ (+ b c) d))

series84.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
29.0ms
(+ 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

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.6b
(cbrt (pow (+ a (+ (+ b c) d)) 3))
3.0b
(+ a (+ (+ b c) d))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
18×cbrt-prod distribute-lft-out
11×add-log-exp
unpow-prod-down cube-prod sum-log
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log cube-div cbrt-div flip3-+ add-cbrt-cube flip-+
+-commutative cube-mult associate-+r+ pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
2 → 46
Calls
2 calls:
9.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
8.0ms
(+ a (+ (+ b c) d))

series85.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(cbrt (pow (+ a (+ (+ b c) d)) 3))
29.0ms
(+ a (+ (+ b c) d))

simplify30.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0210277
1906275
25001273

prune98.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 2.2b

regimes476.0ms

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

sample557.0ms

Algorithm
intervals
Results
191.0ms8000×pre80true
165.0ms8000×body80valid