Details

Time bar (total: 5.4s)

sample74.0ms

Algorithm
intervals
Results
31.0ms113×body1280valid
12.0ms66×body640valid
11.0ms277×body80valid
4.0ms37×body320valid
2.0ms24×body160valid

simplify46.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31394
42714
55204
614914
750014

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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (cos x) (/ (sinh y) y))
0.0b
(sinh 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 associate-*l* associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 74
Calls
3 calls:
3.0ms
(/ (sinh y) y)
7.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)

series235.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (sinh y) y)
89.0ms
(* (cos x) (/ (sinh y) y))
59.0ms
(sinh y)

simplify44.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0339443
11326398
25001396

prune150.0ms

Filtered
83 candidates to 67 candidates (80.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80383
Fresh000
Picked011
Done000
Total80484

Merged error: 0b

Counts
84 → 4

localize10.0ms

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)

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×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:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series708.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt y) (cbrt y))
171.0ms
(cbrt y)
171.0ms
(cbrt y)
172.0ms
(cbrt y)

simplify92.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune202.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0b

Counts
97 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sinh y)) (cbrt (sinh y)))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh y))
0.6b
(cbrt (sinh 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
7×sinh-def cbrt-div
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 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
6.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt (sinh y))
2.0ms
(cbrt (sinh y))

series661.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (cbrt (sinh y)) (cbrt (sinh y)))
159.0ms
(cbrt (sinh y))
161.0ms
(cbrt (sinh y))
161.0ms
(cbrt (sinh y))

simplify82.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0207563
1608523
22462467
35001463

prune203.0ms

Filtered
99 candidates to 70 candidates (70.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New99099
Fresh011
Picked011
Done022
Total994103

Merged error: 0b

Counts
103 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
0.0b
(sinh y)
0.0b
(sinh y)
0.3b
(* (sqrt (sinh y)) (sqrt (sinh y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
21×pow1
18×sqrt-prod
15×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
13×associate-*r*
9×associate-*l*
8×sqrt-pow1 pow1/2 swap-sqr
6×sinh-def unswap-sqr
5×prod-exp pow-prod-up cbrt-unprod
4×expm1-log1p-u times-frac sqrt-div pow-prod-down log1p-expm1-u add-log-exp
3×pow-sqr
2×cbrt-undiv associate-*r/ div-exp *-commutative
1×pow2 frac-times pow-plus sqrt-unprod associate-*l/ rem-square-sqrt div-inv
Counts
4 → 104
Calls
4 calls:
9.0ms
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
1.0ms
(sinh y)
1.0ms
(sinh y)
11.0ms
(* (sqrt (sinh y)) (sqrt (sinh y)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (cos x) (/ (* (sqrt (sinh y)) (sqrt (sinh y))) y))
63.0ms
(sinh y)
57.0ms
(sinh y)
65.0ms
(* (sqrt (sinh y)) (sqrt (sinh y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0354600
11717504
25002483

prune192.0ms

Filtered
116 candidates to 75 candidates (64.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done033
Total1164120

Merged error: 0b

Counts
120 → 4

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.2s

Algorithm
intervals
Results
863.0ms3026×body1280valid
456.0ms2535×body640valid
334.0ms8493×body80valid
154.0ms1255×body320valid
53.0ms625×body160valid

Profiling

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