Details

Time bar (total: 1.9s)

sample24.0ms

Algorithm
intervals
Results
9.0ms296×body80valid
1.0ms6×body1280valid
0.0ms4×body320valid
0.0ms2×body640valid
0.0ms3×body160valid

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: 0.0b

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))

simplify82.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0149120
1720103
23972103
35002103

prune38.0ms

Filtered
27 candidates to 16 candidates (40.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New24327
Fresh101
Picked011
Done000
Total25429

Merged error: 0b

Counts
29 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (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))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
32×associate-*r/
30×flip3-+ flip-+
29×*-un-lft-identity
28×frac-times
20×cbrt-prod
14×associate-*l/
13×pow1 add-exp-log
12×distribute-lft-out
9×add-sqr-sqrt add-cube-cbrt
8×associate-*r* add-cbrt-cube
6×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×pow1/3
1×associate-*l* *-commutative
Counts
4 → 97
Calls
4 calls:
24.0ms
(* (* d1 (* (cbrt (+ (+ 3.0 d2) d3)) (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))

series59.0ms

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

simplify59.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04811565
116721406
250011343

prune174.0ms

Filtered
109 candidates to 67 candidates (38.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1090109
Fresh022
Picked011
Done011
Total1094113

Merged error: 0b

Counts
113 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 3.0 d2) (+ 3.0 d2))
1.7b
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
6.7b
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
16.7b
(/ (* 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:
9.0ms
(* (+ 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))

series54.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (+ 3.0 d2) (+ 3.0 d2))
6.0ms
(- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))
19.0ms
(* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3)))
27.0ms
(/ (* d1 (- (* (+ 3.0 d2) (+ 3.0 d2)) (* d3 d3))) (- (+ 3.0 d2) d3))

simplify82.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0538973
12736846
25002842

prune124.0ms

Filtered
127 candidates to 77 candidates (39.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh011
Picked011
Done022
Total1274131

Merged error: 0b

Counts
131 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.0b
(sqrt (+ (+ 3.0 d2) d3))
0.2b
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
0.2b
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
21×sqrt-prod
18×sqrt-div
17×add-sqr-sqrt
16×associate-*r*
13×pow1
12×distribute-lft-out
11×add-exp-log add-cube-cbrt add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 91
Calls
4 calls:
5.0ms
(sqrt (+ (+ 3.0 d2) d3))
5.0ms
(sqrt (+ (+ 3.0 d2) d3))
8.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
15.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(sqrt (+ (+ 3.0 d2) d3))
7.0ms
(sqrt (+ (+ 3.0 d2) d3))
14.0ms
(* d1 (sqrt (+ (+ 3.0 d2) d3)))
10.0ms
(* (* d1 (sqrt (+ (+ 3.0 d2) d3))) (sqrt (+ (+ 3.0 d2) d3)))

simplify46.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0356743
11536663
25002645

prune125.0ms

Filtered
103 candidates to 66 candidates (35.9%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done033
Total1034107

Merged error: 0b

Counts
107 → 4

regimes138.0ms

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

sample681.0ms

Algorithm
intervals
Results
298.0ms9572×body80valid
25.0ms214×body640valid
12.0ms145×body320valid
12.0ms88×body1280valid
4.0ms80×body160valid

Profiling

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