Details

Time bar (total: 2.3s)

sample24.0ms

Algorithm
intervals
Results
5.0ms256×pre80true
4.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1393
2653
3703
4703

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* a (+ (+ b c) d))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
5×add-sqr-sqrt associate-*r*
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube distribute-lft-out
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
73.0ms
(* a (+ (+ b c) d))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* a (+ (+ b c) d))

simplify97.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146114
1738100
24526100
35001100

prune47.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* a (+ b c))
0.0b
(+ (* a (+ b c)) (* a d))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
18.0ms
(* a (+ b c))
12.0ms
(+ (* a (+ b c)) (* a d))

series65.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* a (+ b c))
39.0ms
(+ (* a (+ b c)) (* a d))

simplify34.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0213177
1995159
25002156

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* a b) (* a c))
0.0b
(+ (+ (* a b) (* a c)) (* a d))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
3×distribute-lft-out
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 26
Calls
2 calls:
7.0ms
(+ (* a b) (* a c))
27.0ms
(+ (+ (* a b) (* a c)) (* a d))

series70.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* a b) (* a c))
38.0ms
(+ (+ (* a b) (* a c)) (* a d))

simplify104.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0184187
1772160
23494148
35003148

prune64.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* a (+ b c)) (* a d))
0.1b
(sqrt (+ (* a (+ b c)) (* a d)))
0.1b
(sqrt (+ (* a (+ b c)) (* a d)))
0.5b
(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ swap-sqr flip-+
7×associate-*r* associate-*l* distribute-lft-out
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-+l+ associate-*r/ associate-*l/
1×+-commutative pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 106
Calls
4 calls:
12.0ms
(+ (* a (+ b c)) (* a d))
14.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
14.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
80.0ms
(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

series447.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ (* a (+ b c)) (* a d))
185.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
191.0ms
(sqrt (+ (* a (+ b c)) (* a d)))
37.0ms
(* (sqrt (+ (* a (+ b c)) (* a d))) (sqrt (+ (* a (+ b c)) (* a d))))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0302978
11439875
25002856

prune215.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes149.0ms

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
0145
1145

end0.0ms

sample546.0ms

Algorithm
intervals
Results
160.0ms8000×pre80true
130.0ms8000×body80valid