Details

Time bar (total: 3.6s)

sample52.0ms

Algorithm
intervals
Results
11.0ms24×body640valid
11.0ms187×body80valid
10.0ms24×body1280valid
3.0ms15×body320valid
1.0ms6×body160valid

simplify19.0ms

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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

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))

rewrite14.0ms

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:
6.0ms
(- (+ x (cos y)) (* z (sin y)))
3.0ms
(+ x (cos y))
4.0ms
(* z (sin y))

series25.0ms

Counts
3 → 9
Calls
3 calls:
12.0ms
(- (+ x (cos y)) (* z (sin y)))
5.0ms
(+ x (cos y))
8.0ms
(* z (sin y))

simplify72.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune133.0ms

Filtered
53 candidates to 37 candidates (30.2%)
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 (sin y)) (cbrt (sin y)))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))
0.6b
(cbrt (sin y))

rewrite15.0ms

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))
1.0ms
(cbrt (sin y))

series77.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))
18.0ms
(cbrt (sin y))

simplify116.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
0161512
1596460
23671403
35002397

prune387.0ms

Filtered
85 candidates to 60 candidates (29.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done000
Total84690

Merged error: 0.0b

Counts
90 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (sin y))
0.6b
(cbrt (cbrt (sin y)))
0.6b
(cbrt (cbrt (sin y)))
0.6b
(cbrt (cbrt (sin y)))

rewrite8.0ms

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 (sin y))
2.0ms
(cbrt (cbrt (sin y)))
2.0ms
(cbrt (cbrt (sin y)))
2.0ms
(cbrt (cbrt (sin y)))

series75.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(cbrt (sin y))
20.0ms
(cbrt (cbrt (sin y)))
19.0ms
(cbrt (cbrt (sin y)))
18.0ms
(cbrt (cbrt (sin y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0119420
1313394
21162370
35002316

prune319.0ms

Filtered
65 candidates to 52 candidates (20.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh044
Picked011
Done011
Total65671

Merged error: 0.0b

Counts
71 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

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:
9.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
3.0ms
(cbrt (+ x (cos y)))
3.0ms
(cbrt (+ x (cos y)))
3.0ms
(cbrt (+ x (cos y)))

series67.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
03051038
11092987
25001912

prune476.0ms

Filtered
107 candidates to 72 candidates (32.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1052107
Fresh123
Picked011
Done022
Total1067113

Merged error: 0.0b

Counts
113 → 7

regimes233.0ms

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
01412
11412

end0.0ms

sample1.4s

Algorithm
intervals
Results
413.0ms971×body1280valid
318.0ms5596×body80valid
208.0ms800×body640valid
81.0ms429×body320valid
26.0ms203×body160valid
2.0ms1×body2560valid

Profiling

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