Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
12.0ms380×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0256
1695
21954
34614
49694
517604
624554
732584
834514
934514

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (- d2 d3) (- d4 d1)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
7×associate-*r*
6×associate-*r/
5×add-sqr-sqrt
4×flip3-- frac-add flip-- distribute-lft-out distribute-lft-out--
3×pow1 add-exp-log add-cube-cbrt associate-*l* add-cbrt-cube
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
61.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(* d1 (+ (- d2 d3) (- d4 d1)))

simplify43.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0298214
11486191
25003191

prune70.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* d1 (- d2 d3))
0.0b
(* d1 (- d4 d1))
0.0b
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×associate-*r/
11×*-un-lft-identity
10×associate-*r*
8×distribute-rgt-in sub-neg distribute-lft-in
7×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
6×flip3-- associate-*l* flip--
5×add-log-exp
4×associate-+l+ associate-+r+ frac-add
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 76
Calls
3 calls:
10.0ms
(* d1 (- d2 d3))
10.0ms
(* d1 (- d4 d1))
7.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* d1 (- d2 d3))
33.0ms
(* d1 (- d4 d1))
56.0ms
(+ (* d1 (- d2 d3)) (* d1 (- d4 d1)))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0407422
12021395
25001395

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(cbrt (+ (- d2 d3) (- d4 d1)))
0.5b
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
102×cbrt-div
93×cbrt-prod
68×flip3-- frac-add flip--
60×distribute-lft-out distribute-lft-out--
36×frac-times
30×swap-sqr
23×add-sqr-sqrt
17×flip3-+ flip-+
15×add-cube-cbrt
11×pow1
10×associate-*r* associate-*l*
9×pow1/3
6×add-exp-log associate-*r/ associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 183
Calls
4 calls:
15.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
14.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
14.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
119.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
226.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
221.0ms
(cbrt (+ (- d2 d3) (- d4 d1)))
198.0ms
(* (cbrt (+ (- d2 d3) (- d4 d1))) (cbrt (+ (- d2 d3) (- d4 d1))))

simplify76.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04623341
116363257
250023027

prune515.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (- d4 d1))
0.0b
(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
0.3b
(pow (* d1 (- d2 d3)) 3)
31.7b
(cbrt (pow (* d1 (- d2 d3)) 3))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*r/
12×add-sqr-sqrt
10×*-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cube-div cbrt-prod add-cube-cbrt
7×flip3-- flip--
6×cbrt-div add-log-exp
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in frac-add
3×pow-unpow associate-*l*
2×cube-mult unpow-prod-down pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 88
Calls
4 calls:
10.0ms
(* d1 (- d4 d1))
9.0ms
(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
4.0ms
(pow (* d1 (- d2 d3)) 3)
2.0ms
(cbrt (pow (* d1 (- d2 d3)) 3))

series231.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* d1 (- d4 d1))
81.0ms
(+ (cbrt (pow (* d1 (- d2 d3)) 3)) (* d1 (- d4 d1)))
59.0ms
(pow (* d1 (- d2 d3)) 3)
57.0ms
(cbrt (pow (* d1 (- d2 d3)) 3))

simplify73.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0485594
12465521
25002516

prune414.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

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
0125
1125

end0.0ms

sample676.0ms

Algorithm
intervals
Results
387.0ms11980×body80valid