Details

Time bar (total: 5.5s)

sample72.0ms

Algorithm
intervals
Results
24.0ms86×body1280valid
16.0ms75×body640valid
12.0ms297×body80valid
5.0ms40×body320valid
2.0ms18×body160valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1284
2564
31024
41534
53344
69244
719124
850014

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (cosh x) (/ (sin y) y))
0.0b
(cosh x)
0.1b
(/ (sin y) y)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×expm1-log1p-u cosh-def associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 75
Calls
3 calls:
7.0ms
(* (cosh x) (/ (sin y) y))
1.0ms
(cosh x)
4.0ms
(/ (sin y) y)

series148.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(* (cosh x) (/ (sin y) y))
48.0ms
(cosh x)
25.0ms
(/ (sin y) y)

simplify38.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0303450
11150402
25002380

prune169.0ms

Filtered
84 candidates to 65 candidates (77.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New76884
Fresh000
Picked011
Done000
Total76985

Merged error: 0.0b

Counts
85 → 9

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(cosh x)
0.0b
(* (cosh x) (/ 1 (/ y (sin y))))
0.1b
(/ 1 (/ y (sin y)))
0.1b
(/ y (sin y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
104×add-sqr-sqrt
92×*-un-lft-identity
90×add-cube-cbrt
44×associate-*r*
36×add-exp-log
20×add-cbrt-cube
16×associate-/r*
15×div-exp
10×div-inv
7×pow1 cbrt-undiv prod-exp
6×associate-/l*
5×unswap-sqr
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×cosh-def associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/r/
1×frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative inv-pow
Counts
4 → 194
Calls
4 calls:
1.0ms
(cosh x)
15.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
6.0ms
(/ 1 (/ y (sin y)))
4.0ms
(/ y (sin y))

series173.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(cosh x)
76.0ms
(* (cosh x) (/ 1 (/ y (sin y))))
30.0ms
(/ 1 (/ y (sin y)))
22.0ms
(/ y (sin y))

simplify82.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06601387
130881210
250011077

prune332.0ms

Filtered
206 candidates to 131 candidates (63.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2033206
Fresh437
Picked011
Done011
Total2078215

Merged error: 0b

Counts
215 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite14.0ms

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:
8.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series743.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
192.0ms
(cbrt y)
180.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune221.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done022
Total938101

Merged error: 0b

Counts
101 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin y)) (cbrt (sin y)))
0.7b
(cbrt (sin y))
0.7b
(cbrt (sin y))
0.7b
(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×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 (sin y)) (cbrt (sin y)))
1.0ms
(cbrt (sin y))
1.0ms
(cbrt (sin y))
2.0ms
(cbrt (sin y))

series579.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (cbrt (sin y)) (cbrt (sin y)))
96.0ms
(cbrt (sin y))
98.0ms
(cbrt (sin y))
271.0ms
(cbrt (sin y))

simplify93.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0160483
1568430
23134398
35001392

prune200.0ms

Filtered
93 candidates to 68 candidates (73.1%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New93093
Fresh044
Picked011
Done033
Total938101

Merged error: 0b

Counts
101 → 8

regimes146.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.3s

Algorithm
intervals
Results
873.0ms2942×body1280valid
448.0ms2481×body640valid
378.0ms8627×body80valid
176.0ms1308×body320valid
57.0ms636×body160valid

Profiling

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