Details

Time bar (total: 1.7s)

analyze38.0ms

Algorithm
search

sample20.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
4.0ms155×body80invalid

simplify66.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750023

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* y y))
0.3b
(* x (exp (* y y)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×add-exp-log associate-*r* associate-*l*
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 28
Calls
2 calls:
2.0ms
(exp (* y y))
4.0ms
(* x (exp (* y y)))

series11.0ms

Counts
2 → 6
Calls
2 calls:
2.0ms
(exp (* y y))
8.0ms
(* x (exp (* y y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
089130
1321114
21270114
35001114

prune70.0ms

Filtered
25 candidates to 34 candidates (-36.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New31334
Fresh000
Picked101
Done000
Total32335

Merged error: 0.0b

Counts
35 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(pow (exp y) y)
0.3b
(* x (pow (exp y) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×unpow-prod-down associate-*r*
6×add-exp-log
4×pow-pow add-cbrt-cube
3×pow1 pow-unpow exp-prod associate-*l* prod-exp unswap-sqr sqr-pow
2×pow-to-exp pow-exp add-log-exp
1×*-commutative cbrt-unprod
Counts
2 → 45
Calls
2 calls:
5.0ms
(pow (exp y) y)
9.0ms
(* x (pow (exp y) y))

series27.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(pow (exp y) y)
22.0ms
(* x (pow (exp y) y))

simplify144.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0158211
1643188
23019187
35002186

prune89.0ms

Filtered
31 candidates to 51 candidates (-64.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh112
Picked101
Done000
Total51354

Merged error: 0.0b

Counts
54 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (exp y)) y)
0.0b
(pow (exp y) (/ y 2))
0.0b
(* (* x (pow (sqrt (exp y)) y)) (pow (exp y) (/ y 2)))
0.0b
(sqrt (exp y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
22×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity prod-exp
16×pow-unpow
12×unpow-prod-down
10×pow-pow
9×pow-to-exp exp-prod times-frac pow-exp add-cbrt-cube
8×pow1 sqrt-pow1
7×associate-*r*
6×sqrt-prod
4×add-log-exp
3×cbrt-unprod sqr-pow
2×pow1/2
1×rem-sqrt-square associate-*l* *-commutative sqrt-pow2 div-inv
Counts
4 → 102
Calls
4 calls:
5.0ms
(pow (sqrt (exp y)) y)
9.0ms
(pow (exp y) (/ y 2))
13.0ms
(* (* x (pow (sqrt (exp y)) y)) (pow (exp y) (/ y 2)))
4.0ms
(sqrt (exp y))

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(pow (sqrt (exp y)) y)
4.0ms
(pow (exp y) (/ y 2))
31.0ms
(* (* x (pow (sqrt (exp y)) y)) (pow (exp y) (/ y 2)))
3.0ms
(sqrt (exp y))

simplify55.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0429682
11824612
25001502

prune133.0ms

Filtered
75 candidates to 114 candidates (-52.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh112
Picked101
Done000
Total1143117

Merged error: 0.0b

Counts
117 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (exp y))
0.0b
(sqrt (exp y))
0.0b
(* (* x (* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))) (pow (exp y) (/ y 2)))
0.0b
(* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
99×add-exp-log prod-exp
84×sqrt-prod
81×unpow-prod-down
80×add-sqr-sqrt
35×pow-to-exp pow-exp
26×add-cube-cbrt *-un-lft-identity
25×unswap-sqr
20×associate-*r*
19×swap-sqr
15×add-cbrt-cube sqr-pow
14×associate-*l*
8×sqrt-pow1
7×cbrt-unprod
6×pow1 exp-prod
4×add-log-exp
2×rem-sqrt-square pow1/2 *-commutative
1×pow2 pow-prod-down pow-sqr pow-prod-up
Counts
4 → 176
Calls
4 calls:
2.0ms
(sqrt (exp y))
2.0ms
(sqrt (exp y))
14.0ms
(* (* x (* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))) (pow (exp y) (/ y 2)))
13.0ms
(* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (exp y))
3.0ms
(sqrt (exp y))
40.0ms
(* (* x (* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))) (pow (exp y) (/ y 2)))
10.0ms
(* (pow (sqrt (sqrt (exp y))) y) (pow (sqrt (sqrt (exp y))) y))

simplify76.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04841906
121271593
250011574

prune136.0ms

Filtered
83 candidates to 188 candidates (-126.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1871188
Fresh112
Picked011
Done000
Total1883191

Merged error: 0.0b

Counts
191 → 3

regimes74.0ms

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
01414
11414

end0.0ms

analyze34.0ms

Algorithm
search

sample469.0ms

Algorithm
intervals
Results
191.0ms8000×body80valid
96.0ms4402×body80invalid

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