Details

Time bar (total: 4.6s)

sample49.0ms

Algorithm
intervals
Results
18.0ms44×body1280valid
9.0ms35×body640valid
8.0ms152×body80valid
3.0ms15×body320valid
1.0ms10×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0115
1115

prune3.0ms

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

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))

rewrite14.0ms

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))
5.0ms
(* x (sin y))

series152.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* x (sin y)) (* z (cos y)))
35.0ms
(* z (cos y))
42.0ms
(* x (sin y))

simplify75.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0185250
1702229
22218229
35001229

prune145.0ms

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:

0.2b
(* (cbrt (cos y)) (cbrt (cos y)))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))
0.3b
(cbrt (cos y))

rewrite13.0ms

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))

series453.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(* (cbrt (cos y)) (cbrt (cos y)))
98.0ms
(cbrt (cos y))
95.0ms
(cbrt (cos y))
101.0ms
(cbrt (cos y))

simplify105.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0122441
1481389
23180357
35001351

prune240.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh189
Picked011
Done000
Total841195

Merged error: 0.0b

Counts
95 → 11

localize20.0ms

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))

rewrite20.0ms

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))
10.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms
(pow (cos y) 2)
1.0ms
(cbrt (cos y))

series192.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* x (sin y))
39.0ms
(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
17.0ms
(pow (cos y) 2)
99.0ms
(cbrt (cos y))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0294422
11280367
25001350

prune220.0ms

Filtered
84 candidates to 52 candidates (61.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh189
Picked011
Done011
Total841195

Merged error: 0.0b

Counts
95 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite12.0ms

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 x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series737.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(* (cbrt x) (cbrt x))
179.0ms
(cbrt x)
178.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune217.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh178
Picked101
Done022
Total861096

Merged error: 0.0b

Counts
96 → 10

regimes182.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01810
11810

end0.0ms

sample1.5s

Algorithm
intervals
Results
618.0ms1499×body1280valid
330.0ms1274×body640valid
240.0ms4270×body80valid
115.0ms649×body320valid
37.0ms308×body160valid

Profiling

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