Details

Time bar (total: 2.6s)

sample495.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.222222%

Results
7.0ms250×body80valid
0.0msbody640valid
0.0msbody1280valid
0.0msbody160valid
0.0msbody320valid
0.0msbody80invalid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
0184
1343
2523
3603
4603

prune8.0ms

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 2 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(* d1 (+ (+ 10.0 d2) 20.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
add-log-exp
add-sqr-sqrt distribute-lft-out
associate-*r*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*l* sum-log
flip3-+ associate-*r/ flip-+
+-commutative distribute-rgt-in associate-+l+ distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
5.0ms
(+ (+ 10.0 d2) 20.0)
8.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

series7.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(+ (+ 10.0 d2) 20.0)
5.0ms
(* d1 (+ (+ 10.0 d2) 20.0))

simplify88.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0177179
1791157
24227156
35003156

prune51.0ms

Filtered
28 candidates to 45 candidates (-60.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New42345
Fresh101
Picked011
Done000
Total43447

Merged error: 0b

Counts
47 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.2b
(cbrt (+ (+ 10.0 d2) 20.0))
0.3b
(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
0.4b
(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
42×associate-*r/
35×flip3-+ flip-+
32×frac-times
24×*-un-lft-identity
18×pow1 add-exp-log
16×associate-*l/
15×cbrt-prod
11×add-cbrt-cube
10×add-sqr-sqrt
add-cube-cbrt associate-*r* pow-prod-down prod-exp cbrt-unprod distribute-lft-out
associate-*l* add-log-exp
pow1/3 *-commutative
unswap-sqr
Counts
4 → 109
Calls
4 calls:
5.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
5.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
23.0ms
(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
16.0ms
(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
6.0ms
(cbrt (+ (+ 10.0 d2) 20.0))
9.0ms
(* (* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0)))) (cbrt (+ (+ 10.0 d2) 20.0)))
17.0ms
(* d1 (* (cbrt (+ (+ 10.0 d2) 20.0)) (cbrt (+ (+ 10.0 d2) 20.0))))

simplify67.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
06311793
122181603
250021550

prune234.0ms

Filtered
74 candidates to 121 candidates (-63.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh022
Picked011
Done011
Total1214125

Merged error: 0b

Counts
125 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ 10.0 d2) 20.0)
0.0b
(+ (+ 10.0 d2) 20.0)
0.1b
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.2b
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×associate-*r*
14×sqrt-div add-log-exp
13×add-sqr-sqrt
12×distribute-lft-out
11×pow1 add-exp-log sqrt-prod add-cbrt-cube
10×associate-*r/
add-cube-cbrt flip3-+ flip-+
sum-log
frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
+-commutative associate-+l+ associate-*l/ *-commutative unswap-sqr
Counts
4 → 87
Calls
4 calls:
6.0ms
(+ (+ 10.0 d2) 20.0)
5.0ms
(+ (+ 10.0 d2) 20.0)
9.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
15.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(+ (+ 10.0 d2) 20.0)
5.0ms
(+ (+ 10.0 d2) 20.0)
9.0ms
(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
5.0ms
(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0371659
11686575
25001563

prune128.0ms

Filtered
61 candidates to 99 candidates (-62.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0b

Counts
103 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* d1 (+ (+ 10.0 d2) 20.0))
0.1b
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
0.1b
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
0.2b
(* (sqrt (* d1 (+ (+ 10.0 d2) 20.0))) (sqrt (* d1 (+ (+ 10.0 d2) 20.0))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
15×*-un-lft-identity
14×add-sqr-sqrt
12×pow1/2
10×add-cube-cbrt pow-prod-up
flip3-+ associate-*r* flip-+
add-exp-log add-cbrt-cube
associate-*l*
sqrt-prod pow-sqr
frac-times swap-sqr add-log-exp
distribute-lft-out
associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 107
Calls
4 calls:
8.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
6.0ms
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
6.0ms
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
16.0ms
(* (sqrt (* d1 (+ (+ 10.0 d2) 20.0))) (sqrt (* d1 (+ (+ 10.0 d2) 20.0))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* d1 (+ (+ 10.0 d2) 20.0))
8.0ms
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
8.0ms
(sqrt (* d1 (+ (+ 10.0 d2) 20.0)))
18.0ms
(* (sqrt (* d1 (+ (+ 10.0 d2) 20.0))) (sqrt (* d1 (+ (+ 10.0 d2) 20.0))))

simplify61.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0330674
11720612
25001590

prune135.0ms

Filtered
69 candidates to 119 candidates (-72.5%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done033
Total1194123

Merged error: 0b

Counts
123 → 4

regimes80.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103
1103

end0.0ms

sample921.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.222222%

Results
232.0ms7854×body80valid
8.0ms62×body1280valid
5.0ms49×body640valid
2.0ms25×body320valid
1.0ms46×body80invalid
1.0ms10×body160valid

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