Details

Time bar (total: 4.9s)

sample49.0ms

Algorithm
intervals
Results
18.0ms44×body1280valid
9.0ms35×body640valid
9.0ms152×body80valid
2.0ms15×body320valid
1.0ms10×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1215
2255
3255

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (cos y)) (* z (sin y)))
0.1b
(* z (sin y))
0.1b
(* x (cos 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
3×expm1-log1p-u log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
3 → 56
Calls
3 calls:
4.0ms
(- (* x (cos y)) (* z (sin y)))
4.0ms
(* z (sin y))
4.0ms
(* x (cos y))

series147.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- (* x (cos y)) (* z (sin y)))
42.0ms
(* z (sin y))
38.0ms
(* x (cos y))

simplify64.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0190289
1696265
22348265
35002261

prune149.0ms

Filtered
65 candidates to 47 candidates (72.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New56965
Fresh000
Picked101
Done000
Total57966

Merged error: 0.0b

Counts
66 → 9

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
7.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series420.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
101.0ms
(cbrt (sin y))
104.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune244.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh088
Picked011
Done000
Total9210102

Merged error: 0.0b

Counts
102 → 10

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)

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 81
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series769.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(* (cbrt z) (cbrt z))
184.0ms
(cbrt z)
184.0ms
(cbrt z)
189.0ms
(cbrt z)

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune260.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New91293
Fresh088
Picked011
Done011
Total9112103

Merged error: 0.0b

Counts
103 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
9.4b
(cbrt (* z (sin y)))
9.4b
(cbrt (* z (sin y)))
9.4b
(cbrt (* z (sin y)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
6.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))
3.0ms
(cbrt (* z (sin y)))

series540.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
126.0ms
(cbrt (* z (sin y)))
134.0ms
(cbrt (* z (sin y)))
126.0ms
(cbrt (* z (sin y)))

simplify89.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0195499
1648448
23129396
35002368

prune204.0ms

Filtered
78 candidates to 61 candidates (78.2%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh099
Picked011
Done022
Total781290

Merged error: 0.0b

Counts
90 → 12

regimes143.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01412
11412

end0.0ms

sample1.5s

Algorithm
intervals
Results
616.0ms1498×body1280valid
325.0ms1275×body640valid
237.0ms4270×body80valid
111.0ms650×body320valid
37.0ms307×body160valid

Profiling

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