Details

Time bar (total: 3.0s)

analyze562.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.034492%

Guaranteed chance to sample good point: 84.977595%

sample19.0ms

Algorithm
intervals
Results
7.0ms235×body80valid
1.0ms9×body640valid
1.0ms6×body1280valid
0.0ms12×body80invalid
0.0ms4×body320valid
0.0ms2×body160valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

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))

rewrite8.0ms

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:
7.0ms
(* d1 (+ (+ 3.0 d2) d3))

series7.0ms

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

simplify87.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune46.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New22527
Fresh101
Picked101
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
5.0ms
(* d1 (+ 3.0 d2))
5.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

series14.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* d1 (+ 3.0 d2))
7.0ms
(+ (* d1 (+ 3.0 d2)) (* d1 d3))

simplify36.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0216183
1975162
25001160

prune57.0ms

Filtered
29 candidates to 43 candidates (-48.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh044
Picked011
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
0.5b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
0.5b
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
6.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(* (cbrt (* d1 (+ (+ 3.0 d2) d3))) (cbrt (* d1 (+ (+ 3.0 d2) d3))))
39.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
41.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))
39.0ms
(cbrt (* d1 (+ (+ 3.0 d2) d3)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
03991042
11334970
25001906

prune398.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh033
Picked011
Done011
Total83689

Merged error: 0b

Counts
89 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
3.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.3b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
17.4b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite47.0ms

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:
7.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
8.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
11.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
18.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series55.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
19.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
25.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify86.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
0538973
12736846
25002842

prune126.0ms

Filtered
78 candidates to 127 candidates (-62.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh123
Picked101
Done022
Total1285133

Merged error: 0b

Counts
133 → 5

regimes157.0ms

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
0124
1124

end0.0ms

analyze559.0ms

Algorithm
search
sampling

Space saved by range analysis: 0.146413%

Space saved by search: 17.034492%

Guaranteed chance to sample good point: 84.977595%

sample478.0ms

Algorithm
intervals
Results
244.0ms7462×body80valid
28.0ms223×body640valid
17.0ms102×body1280valid
13.0ms404×body80invalid
13.0ms144×body320valid
4.0ms69×body160valid

Profiling

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