Details

Time bar (total: 2.7s)

sample22.0ms

Algorithm
intervals
Results
6.0ms256×pre80true
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0183
1413
2763
31033
41033

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
7×add-sqr-sqrt distribute-lft-out add-log-exp
5×add-cube-cbrt associate-*r*
4×pow1 add-exp-log fma-def add-cbrt-cube
3×associate-*l* sum-log
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u
1×+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 47
Calls
2 calls:
6.0ms
(+ (+ b c) d)
8.0ms
(* a (+ (+ b c) d))

series46.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ (+ b c) d)
31.0ms
(* a (+ (+ b c) d))

simplify28.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186193
1908173
25001173

prune97.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma d a (fma a b (* a c)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(fma d a (fma a b (* a c)))

simplify115.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03355
19848
253748
3383748
4500148

prune42.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ b c) d)
0.3b
(* (sqrt a) (+ (+ b c) d))
0.3b
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
13×add-sqr-sqrt
12×associate-*l*
10×pow1 add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×add-log-exp
7×sqrt-prod distribute-lft-out
6×associate-*r/ associate-*r*
5×distribute-rgt-in distribute-lft-in
4×fma-def pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u flip3-+ sum-log flip-+ log1p-expm1-u
2×*-commutative unswap-sqr
1×+-commutative associate-+l+
Counts
3 → 80
Calls
3 calls:
6.0ms
(+ (+ b c) d)
12.0ms
(* (sqrt a) (+ (+ b c) d))
12.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (+ b c) d)
97.0ms
(* (sqrt a) (+ (+ b c) d))
51.0ms
(* (sqrt a) (* (sqrt a) (+ (+ b c) d)))

simplify40.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0301447
11493384
25001378

prune161.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ b c)) (cbrt (+ b c)))
0.7b
(cbrt (+ b c))
0.7b
(cbrt (+ b c))
0.7b
(cbrt (+ b c))

rewrite22.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
10.0ms
(* (cbrt (+ b c)) (cbrt (+ b c)))
3.0ms
(cbrt (+ b c))
3.0ms
(cbrt (+ b c))
3.0ms
(cbrt (+ b c))

series551.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(* (cbrt (+ b c)) (cbrt (+ b c)))
132.0ms
(cbrt (+ b c))
126.0ms
(cbrt (+ b c))
134.0ms
(cbrt (+ b c))

simplify313.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254701
1924663
24361610
35001610

prune303.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes116.0ms

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
0133
1153
2153

end0.0ms

sample527.0ms

Algorithm
intervals
Results
182.0ms8000×pre80true
151.0ms8000×body80valid