Details

Time bar (total: 3.6s)

sample20.0ms

Algorithm
intervals
Results
7.0ms297×body80valid
1.0ms12×body640valid
0.0ms4×body320valid
0.0ms3×body160valid
0.0ms1×body1280valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* d1 (+ (+ 3.0 d2) d3))

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:
72.0ms
(* d1 (+ (+ 3.0 d2) d3))

series28.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify85.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune41.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.4b
(cbrt (+ (+ 3.0 d2) d3))

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
51×cbrt-prod
33×distribute-lft-out
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
14×swap-sqr
11×pow1
9×flip3-+ pow1/3 flip-+
8×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 105
Calls
4 calls:
130.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
15.0ms
(cbrt (+ (+ 3.0 d2) d3))
15.0ms
(cbrt (+ (+ 3.0 d2) d3))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))

series353.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
89.0ms
(cbrt (+ (+ 3.0 d2) d3))
86.0ms
(cbrt (+ (+ 3.0 d2) d3))
91.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify135.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
03041036
1964979
24398875
35001870

prune251.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- (+ 3.0 d2) d3))
0.6b
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
1.4b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
21.5b
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
87×*-un-lft-identity
63×times-frac
60×add-sqr-sqrt
42×add-cube-cbrt
21×difference-of-squares
18×distribute-lft-out--
9×associate-/r* distribute-lft-out
8×cbrt-div
7×associate-/l*
6×add-exp-log add-log-exp
5×flip3-- flip--
4×pow1 add-cbrt-cube
2×pow1/3 associate--l+ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in diff-log div-exp clear-num div-inv
Counts
4 → 140
Calls
4 calls:
15.0ms
(cbrt (- (+ 3.0 d2) d3))
71.0ms
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
20.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
17.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(cbrt (- (+ 3.0 d2) d3))
137.0ms
(/ (cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (cbrt (- (+ 3.0 d2) d3)))
38.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
106.0ms
(cbrt (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))

simplify64.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04952230
116972170
250022163

prune529.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
1.4b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.8b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.6b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
20×add-sqr-sqrt
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
8×distribute-rgt-in distribute-lft-in associate-*r* distribute-lft-out
7×associate-*l*
6×flip3-+ times-frac associate-*r/ swap-sqr associate--l+ associate-/r* flip-+ add-log-exp
4×frac-times flip3-- flip-- distribute-lft-out-- difference-of-squares
3×sub-neg prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative associate-/l/ unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv associate-/l*
Counts
4 → 115
Calls
4 calls:
32.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
19.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
65.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
70.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series219.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
37.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
73.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
93.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify83.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0538973
12736846
25002842

prune216.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample541.0ms

Algorithm
intervals
Results
226.0ms9558×body80valid
19.0ms228×body640valid
8.0ms136×body320valid
8.0ms79×body1280valid
4.0ms86×body160valid