Details

Time bar (total: 4.4s)

sample571.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 17.034492%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
7.0ms233×body80valid
1.0ms8×body320valid
1.0ms6×body640valid
0.0ms3×body1280valid
0.0ms6×body160valid
0.0ms11×body80invalid

simplify7.0ms

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

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* d1 (+ (+ 3.0 d2) d3))

simplify84.0ms

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
New23427
Fresh101
Picked011
Done000
Total24529

Merged error: 0.0b

Counts
29 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (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))

rewrite32.0ms

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:
14.0ms
(* (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))

series71.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (+ (+ 3.0 d2) d3)) (cbrt (+ (+ 3.0 d2) d3)))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))

simplify125.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
03151109
19871055
24418891
35002886

prune200.0ms

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

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh033
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* d1 (* (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))) (cbrt (+ (+ 3.0 d2) d3)))
0.4b
(cbrt (+ (+ 3.0 d2) d3))
0.5b
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
0.5b
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
836×cbrt-div
672×sqrt-div
576×frac-times
418×flip3-+ flip-+
378×associate-*r/
216×associate-*l/
130×cbrt-prod
129×*-un-lft-identity
80×sqrt-prod
75×add-sqr-sqrt
54×distribute-lft-out
43×pow1
38×swap-sqr
33×add-exp-log
31×add-cube-cbrt
30×associate-*r*
23×associate-*l* pow-prod-down
21×prod-exp cbrt-unprod
18×unswap-sqr
15×add-cbrt-cube
13×pow1/3
4×pow-sqr pow-prod-up add-log-exp
3×*-commutative
2×pow2 pow-plus
Counts
4 → 444
Calls
4 calls:
67.0ms
(* (* d1 (* (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))) (cbrt (+ (+ 3.0 d2) d3)))
5.0ms
(cbrt (+ (+ 3.0 d2) d3))
17.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
17.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (* d1 (* (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))) (* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3)))))) (cbrt (+ (+ 3.0 d2) d3)))
16.0ms
(cbrt (+ (+ 3.0 d2) d3))
16.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))
24.0ms
(* (cbrt (sqrt (+ (+ 3.0 d2) d3))) (cbrt (sqrt (+ (+ 3.0 d2) d3))))

simplify147.0ms

Algorithm
egg-herbie
Counts
456 → 456
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
0231214962
1500214235

prune1.4s

Filtered
181 candidates to 456 candidates (-151.9%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New4551456
Fresh123
Picked011
Done112
Total4575462

Merged error: 0b

Counts
462 → 5

localize9.0ms

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))
6.5b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.8b
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

rewrite48.0ms

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))
11.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

series52.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
18.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
25.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify81.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0538973
12736846
25002842

prune127.0ms

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

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh022
Picked011
Done022
Total1275132

Merged error: 0b

Counts
132 → 5

regimes172.0ms

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

sample1.0s

Algorithm
intervals
sampling

Space saved by range analysis: 17.034492%

Space saved by search: 0.146413%

Guaranteed chance to sample good point: 0%

Results
242.0ms7476×body80valid
21.0ms186×body640valid
16.0ms433×body80invalid
14.0ms99×body1280valid
13.0ms156×body320valid
5.0ms83×body160valid

Profiling

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