Details

Time bar (total: 4.4s)

sample55.0ms

Algorithm
intervals
Results
22.0ms52×body1280valid
10.0ms39×body640valid
8.0ms138×body80valid
3.0ms18×body320valid
1.0ms9×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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
(* x (sin y))
4.0ms
(* z (cos y))

series152.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(+ (* x (sin y)) (* z (cos y)))
42.0ms
(* x (sin y))
36.0ms
(* z (cos y))

simplify73.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune136.0ms

Filtered
56 candidates to 40 candidates (71.4%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New461056
Fresh000
Picked101
Done000
Total471057

Merged error: 0.0b

Counts
57 → 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:
6.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))

series450.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
100.0ms
(cbrt (cos y))
96.0ms
(cbrt (cos y))
97.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (96.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune217.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh099
Picked011
Done000
Total831295

Merged error: 0.0b

Counts
95 → 12

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
22×add-sqr-sqrt
19×unpow-prod-down
18×associate-*r*
16×prod-exp
13×add-cube-cbrt *-un-lft-identity
11×add-cbrt-cube
9×pow-exp
7×pow1 cbrt-unprod
6×cbrt-prod unswap-sqr
5×pow-to-exp sqr-pow
4×associate-*l* add-log-exp
3×pow-unpow unpow2
2×unpow1/3 *-commutative
1×pow-pow pow1/3 pow-prod-down
Counts
4 → 90
Calls
4 calls:
7.0ms
(* z (pow (pow (cos y) 2) 1/3))
9.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series245.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* z (pow (pow (cos y) 2) 1/3))
35.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify47.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0320572
11417499
25002468

prune262.0ms

Filtered
102 candidates to 62 candidates (60.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New993102
Fresh3710
Picked101
Done101
Total10410114

Merged error: 0.0b

Counts
114 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (cos y))
1.0ms
(cbrt (cos y))
2.0ms
(cbrt (cbrt (cos y)))
4.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

series413.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(cbrt (cos y))
102.0ms
(cbrt (cos y))
97.0ms
(cbrt (cbrt (cos y)))
116.0ms
(cbrt (* (cbrt (cos y)) (cbrt (cos y))))

simplify218.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 4 (213.0ms)

IterNodesCost
0103302
1262272
2833261
34534261
45003256

prune211.0ms

Filtered
57 candidates to 46 candidates (80.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New57057
Fresh099
Picked011
Done000
Total571067

Merged error: 0.0b

Counts
67 → 10

regimes129.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02318
12318

end0.0ms

sample1.6s

Algorithm
intervals
Results
648.0ms1491×body1280valid
326.0ms1200×body640valid
257.0ms4320×body80valid
117.0ms650×body320valid
43.0ms339×body160valid

Profiling

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