Details

Time bar (total: 3.3s)

sample56.0ms

Algorithm
intervals
Results
16.0ms38×body1280valid
11.0ms40×body640valid
10.0ms153×body80valid
3.0ms14×body320valid
1.0ms11×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

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 (sin y)) (* z (cos y)))
0.1b
(* z (cos y))
0.1b
(* x (sin 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×+-commutative flip3-+ sum-log flip-+
Counts
3 → 47
Calls
3 calls:
4.0ms
(+ (* x (sin y)) (* z (cos y)))
4.0ms
(* z (cos y))
4.0ms
(* x (sin y))

series35.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(+ (* x (sin y)) (* z (cos y)))
7.0ms
(* z (cos y))
8.0ms
(* x (sin y))

simplify70.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune86.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New47956
Fresh000
Picked101
Done000
Total48957

Merged error: 0.1b

Counts
57 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (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))

series77.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms
(cbrt (cos y))
16.0ms
(cbrt (cos y))
19.0ms
(cbrt (cos y))

simplify104.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0125433
1507381
23337357
35001351

prune123.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New81485
Fresh088
Picked011
Done000
Total811394

Merged error: 0.0b

Counts
94 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (sin y))
0.2b
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b
(pow (cos y) 2)
0.3b
(cbrt (cos y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
13×add-sqr-sqrt
12×prod-exp
11×add-cube-cbrt *-un-lft-identity
10×add-cbrt-cube
9×pow1 associate-*r*
6×cbrt-prod cbrt-unprod
5×pow-exp
4×associate-*l* add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow
2×pow-prod-down *-commutative
1×pow-pow unpow1/3 pow1/3 unpow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
4.0ms
(* x (sin y))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series33.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* x (sin y))
7.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms
(pow (cos y) 2)
17.0ms
(cbrt (cos y))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0297419
11306364
25002350

prune129.0ms

Filtered
52 candidates to 84 candidates (-61.5%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh11011
Picked011
Done011
Total841397

Merged error: 0.0b

Counts
97 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cbrt (cos y)))
2.0ms
(cbrt (cbrt (cos y)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(cbrt (cos y))
18.0ms
(cbrt (cbrt (cos y)))
17.0ms
(cbrt (cbrt (cos y)))
17.0ms
(cbrt (cbrt (cos y)))

simplify213.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
083342
1228316
2751308
34296308
45001308

prune63.0ms

Filtered
52 candidates to 65 candidates (-25.0%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh01010
Picked011
Done022
Total651378

Merged error: 0.0b

Counts
78 → 13

regimes255.0ms

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
01810
11810

end0.0ms

sample1.8s

Algorithm
intervals
Results
691.0ms1552×body1280valid
348.0ms1255×body640valid
262.0ms4313×body80valid
109.0ms576×body320valid
44.0ms304×body160valid

Profiling

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