Details

Time bar (total: 7.6s)

sample2.8s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.912842%

Guaranteed chance to sample good point: 84.977595%

Results
7.0ms239×body80valid
1.0ms7×body640valid
0.0ms12×body80invalid
0.0ms6×body160valid
0.0ms3×body320valid
0.0ms1×body1280valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune9.0ms

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:
8.0ms
(* d1 (+ (+ 3.0 d2) d3))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify88.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune42.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh011
Picked011
Done000
Total24529

Merged error: 0b

Counts
29 → 5

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:
5.0ms
(+ (+ (* d1 3.0) (* d1 d2)) (* d1 d3))
4.0ms
(+ (* d1 3.0) (* d1 d2))

series13.0ms

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

simplify110.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0187191
1787163
23595151
35001151

prune45.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh033
Picked011
Done011
Total32537

Merged error: 0b

Counts
37 → 5

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))

rewrite35.0ms

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:
16.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))
17.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify134.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
03151109
19871055
24418891
35002886

prune201.0ms

Filtered
72 candidates to 117 candidates (-62.5%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done022
Total1175122

Merged error: 0b

Counts
122 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.3b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
8.5b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
13.9b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite51.0ms

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)))
19.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series58.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (+ 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))

simplify89.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0538973
12736846
25002842

prune131.0ms

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

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1261127
Fresh101
Picked101
Done033
Total1284132

Merged error: 0b

Counts
132 → 4

regimes202.0ms

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

sample3.4s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 16.912842%

Guaranteed chance to sample good point: 84.977595%

Results
244.0ms7463×body80valid
22.0ms202×body640valid
15.0ms110×body1280valid
13.0ms408×body80invalid
12.0ms145×body320valid
4.0ms80×body160valid

Profiling

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