Details

Time bar (total: 5.1s)

sample46.0ms

Algorithm
intervals
Results
10.0ms187×body80valid
10.0ms24×body1280valid
6.0ms24×body640valid
3.0ms15×body320valid
1.0ms6×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

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

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))

rewrite19.0ms

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))
9.0ms
(* z (sin y))

series131.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (+ x (cos y)) (* z (sin y)))
33.0ms
(+ x (cos y))
46.0ms
(* z (sin y))

simplify74.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0198256
1668240
22771240
35001240

prune130.0ms

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))

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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))

series474.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
114.0ms
(cbrt (sin y))
112.0ms
(cbrt (sin y))
115.0ms
(cbrt (sin y))

simplify91.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune378.0ms

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

localize20.0ms

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

series452.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (sin y))
112.0ms
(cbrt (cbrt (sin y)))
116.0ms
(cbrt (cbrt (sin y)))
112.0ms
(cbrt (cbrt (sin y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0108364
1221338
2581330
31891330
45001330

prune385.0ms

Filtered
65 candidates to 58 candidates (10.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh044
Picked011
Done011
Total65671

Merged error: 0.0b

Counts
71 → 6

localize16.0ms

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)))

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:
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)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(* (cbrt (+ x (cos y))) (cbrt (+ x (cos y))))
85.0ms
(cbrt (+ x (cos y)))
84.0ms
(cbrt (+ x (cos y)))
85.0ms
(cbrt (+ x (cos y)))

simplify152.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0284987
1972936
24644860
35001855

prune483.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1052107
Fresh123
Picked011
Done022
Total1067113

Merged error: 0.0b

Counts
113 → 7

regimes212.0ms

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

sample1.3s

Algorithm
intervals
Results
406.0ms971×body1280valid
304.0ms5596×body80valid
207.0ms800×body640valid
75.0ms429×body320valid
25.0ms203×body160valid
2.0ms1×body2560valid

Profiling

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