Details

Time bar (total: 3.6s)

analyze251.0ms

Algorithm
search

sample61.0ms

Algorithm
intervals
Results
25.0ms49×body1280valid
11.0ms42×body640valid
9.0ms139×body80valid
3.0ms16×body320valid
1.0ms10×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0125
1195
2195

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l*
5×add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- diff-log flip--
Counts
3 → 48
Calls
3 calls:
3.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(- (* x (cos y)) (* z (sin y)))
7.0ms
(* z (sin y))
6.0ms
(* x (cos y))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0174254
1636233
22041233
35001233

prune93.0ms

Filtered
39 candidates to 57 candidates (-46.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New471057
Fresh000
Picked101
Done000
Total481058

Merged error: 0.0b

Counts
58 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite11.0ms

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 (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series76.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
18.0ms
(cbrt (cos y))
17.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune120.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh369
Picked101
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (cos y) 2) 1/3)
0.1b
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×unpow-prod-down
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×prod-exp
9×pow-exp
8×add-cbrt-cube
7×pow1
6×cbrt-prod pow-unpow associate-*r*
5×pow-to-exp cbrt-unprod
4×add-log-exp
3×sqr-pow
2×pow-pow unpow1/3 unpow2
1×pow1/3 associate-*l* pow-prod-down *-commutative
Counts
4 → 79
Calls
4 calls:
4.0ms
(pow (pow (cos y) 2) 1/3)
10.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series50.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (pow (cos y) 2) 1/3)
6.0ms
(* (* x (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
16.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0312474
11319403
25001386

prune135.0ms

Filtered
53 candidates to 91 candidates (-71.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New90191
Fresh1910
Picked011
Done000
Total9111102

Merged error: 0.0b

Counts
102 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b
(pow (cos y) 2)
0.3b
(cbrt (pow (cos y) 2))
0.3b
(cbrt (cos y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
6×unpow-prod-down associate-*r* add-cbrt-cube
4×add-log-exp
3×pow-unpow pow-prod-down prod-exp cbrt-unprod
2×pow1/3 unpow2 sqr-pow
1×pow-to-exp pow-pow associate-*l* pow-exp *-commutative
Counts
4 → 66
Calls
4 calls:
7.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
2.0ms
(cbrt (pow (cos y) 2))
1.0ms
(cbrt (cos y))

series50.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
24.0ms
(cbrt (pow (cos y) 2))
16.0ms
(cbrt (cos y))

simplify39.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0236416
11087359
25001345

prune90.0ms

Filtered
50 candidates to 78 candidates (-56.0%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh099
Picked011
Done011
Total781189

Merged error: 0.0b

Counts
89 → 11

regimes337.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

analyze250.0ms

Algorithm
search

sample1.7s

Algorithm
intervals
Results
685.0ms1510×body1280valid
375.0ms1310×body640valid
286.0ms4252×body80valid
117.0ms602×body320valid
45.0ms326×body160valid

Profiling

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