Details

Time bar (total: 6.4s)

sample76.0ms

Algorithm
intervals
Results
20.0ms66×body1280valid
15.0ms333×body80valid
13.0ms61×body640valid
5.0ms38×body320valid
2.0ms19×body160valid

simplify80.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune4.0ms

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: 13.5b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.5b
(/ (* (sin x) (sinh y)) x)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
5.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series243.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
83.0ms
(* (sin x) (sinh y))
98.0ms
(/ (* (sin x) (sinh y)) x)

simplify40.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0280320
11233272
25001255

prune196.0ms

Filtered
58 candidates to 43 candidates (74.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh000
Picked011
Done000
Total52759

Merged error: 0.0b

Counts
59 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

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×associate-*l* associate-/r* 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 → 68
Calls
3 calls:
1.0ms
(sinh y)
3.0ms
(/ (sinh y) x)
7.0ms
(* (sin x) (/ (sinh y) x))

series231.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(sinh y)
74.0ms
(/ (sinh y) x)
93.0ms
(* (sin x) (/ (sinh y) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0328433
11261387
25001385

prune245.0ms

Filtered
77 candidates to 58 candidates (75.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New76177
Fresh055
Picked011
Done011
Total76884

Merged error: 0.0b

Counts
84 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
17.0b
(cbrt (/ (sinh y) x))
17.0b
(cbrt (/ (sinh y) x))
17.0b
(cbrt (/ (sinh y) x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
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 → 144
Calls
4 calls:
12.0ms
(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
2.0ms
(cbrt (/ (sinh y) x))
2.0ms
(cbrt (/ (sinh y) x))
2.0ms
(cbrt (/ (sinh y) x))

series619.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (/ (sinh y) x)) (cbrt (/ (sinh y) x)))
147.0ms
(cbrt (/ (sinh y) x))
153.0ms
(cbrt (/ (sinh y) x))
149.0ms
(cbrt (/ (sinh y) x))

simplify50.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03531489
111271430
250011334

prune659.0ms

Filtered
156 candidates to 126 candidates (80.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1551156
Fresh055
Picked011
Done022
Total1559164

Merged error: 0b

Counts
164 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
6.2b
(cbrt (/ (sinh y) (cbrt x)))
17.0b
(cbrt (/ (sinh y) x))
17.0b
(cbrt (/ (sinh y) x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
64×cbrt-prod
39×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log cbrt-div pow1/3 add-cbrt-cube div-inv add-log-exp
Counts
4 → 91
Calls
4 calls:
5.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
3.0ms
(cbrt (/ (sinh y) (cbrt x)))
2.0ms
(cbrt (/ (sinh y) x))
2.0ms
(cbrt (/ (sinh y) x))

series791.0ms

Counts
4 → 12
Calls
4 calls:
289.0ms
(cbrt (/ 1 (* (cbrt x) (cbrt x))))
199.0ms
(cbrt (/ (sinh y) (cbrt x)))
148.0ms
(cbrt (/ (sinh y) x))
155.0ms
(cbrt (/ (sinh y) x))

simplify95.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 3 (79.0ms)

IterNodesCost
0342877
1787843
23158808
35001776

prune496.0ms

Filtered
103 candidates to 84 candidates (81.6%)
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done033
Total1039112

Merged error: 0b

Counts
112 → 9

regimes300.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074
174

end0.0ms

sample2.1s

Algorithm
intervals
Results
544.0ms1797×body1280valid
459.0ms10305×body80valid
373.0ms1880×body640valid
164.0ms1123×body320valid
63.0ms605×body160valid

Profiling

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