Details

Time bar (total: 3.3s)

analyze520.0ms

Algorithm
search

sample52.0ms

Algorithm
intervals
Results
13.0ms28×body1280valid
11.0ms178×body80valid
8.0ms30×body640valid
7.0ms17×body320valid
0.0ms3×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1205
2225
3225

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(* z (cos y))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 18
Calls
1 calls:
4.0ms
(* z (cos y))

series8.0ms

Counts
1 → 3
Calls
1 calls:
8.0ms
(* z (cos y))

simplify58.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
06072
121962
251662
379662
4189262
5500262

prune39.0ms

Filtered
14 candidates to 21 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New18321
Fresh000
Picked011
Done000
Total18422

Merged error: 0.0b

Counts
22 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series86.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt z) (cbrt z))
22.0ms
(cbrt z)
20.0ms
(cbrt z)
21.0ms
(cbrt z)

simplify75.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune77.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done011
Total85489

Merged error: 0.0b

Counts
89 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (cos y))
0.0b
(sqrt (cos y))
0.1b
(* z (sqrt (cos y)))
0.1b
(* (* z (sqrt (cos y))) (sqrt (cos y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(sqrt (cos y))
1.0ms
(sqrt (cos y))
8.0ms
(* z (sqrt (cos y)))
15.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (cos y))
5.0ms
(sqrt (cos y))
15.0ms
(* z (sqrt (cos y)))
10.0ms
(* (* z (sqrt (cos y))) (sqrt (cos y)))

simplify94.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0157356
1711312
22827306
35001306

prune62.0ms

Filtered
50 candidates to 81 candidates (-62.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh011
Picked011
Done022
Total81485

Merged error: 0.0b

Counts
85 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* z (cos y))
0.2b
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
60×pow1
30×sqrt-pow1
23×pow-prod-down
18×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
11×pow1/2
10×add-exp-log associate-*r* associate-*l* pow-prod-up add-cbrt-cube
6×pow-sqr
5×sqrt-prod
4×swap-sqr add-log-exp
3×prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 96
Calls
4 calls:
2.0ms
(sqrt (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* z (cos y))
8.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

series35.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sqrt (* z (cos y)))
8.0ms
(* z (cos y))
6.0ms
(* z (cos y))
10.0ms
(* (sqrt (* z (cos y))) (sqrt (* z (cos y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0237393
11334358
25002350

prune77.0ms

Filtered
61 candidates to 108 candidates (-77.0%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1080108
Fresh000
Picked011
Done033
Total1084112

Merged error: 0.0b

Counts
112 → 4

regimes216.0ms

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
0115
1115

end0.0ms

analyze374.0ms

Algorithm
search

sample1.4s

Algorithm
intervals
Results
450.0ms982×body1280valid
361.0ms5593×body80valid
234.0ms802×body640valid
83.0ms424×body320valid
27.0ms199×body160valid

Profiling

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