Details

Time bar (total: 2.2s)

sample25.0ms

Algorithm
intervals
Results
9.0ms294×body80valid
1.0ms10×body640valid
0.0ms5×body320valid
0.0ms6×body160valid
0.0ms2×body1280valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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:
9.0ms
(* d1 (+ (+ 3.0 d2) d3))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify94.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune41.0ms

Filtered
16 candidates to 27 candidates (-68.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New25227
Fresh011
Picked011
Done000
Total25429

Merged error: 0b

Counts
29 → 4

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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:
6.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms
(+ (* d1 3.0) (* d1 d2))

series14.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
6.0ms
(+ (* d1 3.0) (* d1 d2))

simplify113.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune40.0ms

Filtered
23 candidates to 32 candidates (-39.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh022
Picked011
Done011
Total32436

Merged error: 0b

Counts
36 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.0b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.4b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
15.7b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite53.0ms

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:
8.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
12.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
21.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series56.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
7.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
20.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
27.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify92.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0538973
12736846
25002842

prune137.0ms

Filtered
77 candidates to 127 candidates (-64.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

2.4b
(- (* d3 d3) (* (+ 3.0 d2) d3))
2.6b
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
3.1b
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
25.9b
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
26×distribute-lft-out
18×associate-/r/
16×unpow-prod-down flip3-+ cube-prod frac-add flip-+
13×associate-*r*
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
9×flip3-- flip--
8×frac-times add-cube-cbrt associate-*r/ add-log-exp
6×pow1
4×associate-*l/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in diff-log pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
3.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
14.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
20.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
33.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

series125.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* d3 d3) (* (+ 3.0 d2) d3))
12.0ms
(+ (pow (+ 3.0 d2) 3) (pow d3 3))
37.0ms
(* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3)))
71.0ms
(/ (* d1 (+ (pow (+ 3.0 d2) 3) (pow d3 3))) (+ (* (+ 3.0 d2) (+ 3.0 d2)) (- (* d3 d3) (* (+ 3.0 d2) d3))))

simplify124.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
08241527
143521379
250011374

prune229.0ms

Filtered
78 candidates to 119 candidates (-52.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done033
Total1194123

Merged error: 0b

Counts
123 → 4

regimes193.0ms

Accuracy

0% (0.0b 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

sample684.0ms

Algorithm
intervals
Results
297.0ms9497×body80valid
24.0ms216×body640valid
14.0ms84×body1280valid
12.0ms140×body320valid
5.0ms89×body160valid

Profiling

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