Details

Time bar (total: 5.1s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results
12.0ms28×body1280valid
11.0ms182×body80valid
7.0ms26×body640valid
2.0ms13×body320valid
1.0ms7×body160valid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1285
2375
3435
4525
5665
61015
71665
82125
92365
102505
112705
122705

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
7×add-sqr-sqrt *-un-lft-identity
5×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
3×associate-*r* associate-*l*
2×diff-log sum-log
1×+-commutative sub-neg flip3-- flip3-+ pow-prod-down prod-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
3 → 44
Calls
3 calls:
9.0ms
(- (+ x (cos y)) (* z (sin y)))
3.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series24.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(+ x (cos y))
7.0ms
(* z (sin y))

simplify72.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune68.0ms

Filtered
37 candidates to 53 candidates (-43.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New48553
Fresh000
Picked101
Done000
Total49554

Merged error: 0.0b

Counts
54 → 5

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)

series91.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (cbrt z) (cbrt z))
21.0ms
(cbrt z)
21.0ms
(cbrt z)
24.0ms
(cbrt z)

simplify72.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0148349
1471322
22276265
35002252

prune84.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh134
Picked011
Done000
Total85590

Merged error: 0.0b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin 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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
20.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify115.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune94.0ms

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

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh123
Picked011
Done011
Total85590

Merged error: 0.0b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ x (cos y)))
0.4b
(cbrt (+ x (cos y)))
0.4b
(cbrt (+ x (cos y)))
0.4b
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
3.0ms
(cbrt (+ x (cos y)))
3.0ms
(cbrt (+ x (cos y)))
3.0ms
(cbrt (+ x (cos y)))
9.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(cbrt (+ x (cos y)))
18.0ms
(cbrt (+ x (cos y)))
15.0ms
(cbrt (+ x (cos y)))
18.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))

simplify45.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03051038
11100987
25002912

prune101.0ms

Filtered
72 candidates to 107 candidates (-48.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1061107
Fresh022
Picked011
Done022
Total1066112

Merged error: 0b

Counts
112 → 6

regimes250.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01410
11410

end0.0ms

sample2.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results
434.0ms958×body1280valid
362.0ms5578×body80valid
229.0ms822×body640valid
87.0ms435×body320valid
28.0ms206×body160valid
2.0ms1×body2560valid

Profiling

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