Details

Time bar (total: 3.4s)

sample96.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
21.0ms68×body1280valid
16.0ms344×body80valid
14.0ms70×body640valid
6.0ms15×body160valid
6.0ms37×body320valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1324
2684
31444
42784
55314
615434
749584
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.3b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.3b
(/ (* (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)
4.0ms
(* (sin x) (sinh y))
5.0ms
(/ (* (sin x) (sinh y)) x)

series49.0ms

Counts
3 → 9
Calls
3 calls:
11.0ms
(sinh y)
17.0ms
(* (sin x) (sinh y))
21.0ms
(/ (* (sin x) (sinh y)) x)

simplify37.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0280320
11233272
25001255

prune84.0ms

Filtered
43 candidates to 58 candidates (-34.9%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New51758
Fresh000
Picked011
Done000
Total51859

Merged error: 0b

Counts
59 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l*
2×prod-exp cbrt-unprod add-log-exp unswap-sqr
1×cbrt-undiv sinh-def associate-*r/ div-exp pow-prod-down *-commutative div-inv
Counts
2 → 40
Calls
2 calls:
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) x))

series30.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) x))

simplify40.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0271276
11124241
25001232

prune57.0ms

Filtered
31 candidates to 46 candidates (-48.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New45146
Fresh156
Picked011
Done011
Total46854

Merged error: 0b

Counts
54 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin x)) (cbrt (sin x)))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

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×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 x)) (cbrt (sin x)))
1.0ms
(cbrt (sin x))
3.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series84.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (cbrt (sin x)) (cbrt (sin x)))
19.0ms
(cbrt (sin x))
20.0ms
(cbrt (sin x))
20.0ms
(cbrt (sin x))

simplify119.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (111.0ms)

IterNodesCost
0161512
1596460
23671410
35002404

prune98.0ms

Filtered
60 candidates to 85 candidates (-41.7%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh055
Picked011
Done022
Total85893

Merged error: 0b

Counts
93 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
12.4b
(* (* (sin x) (sinh y)) (/ 1 x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
16×associate-*r*
14×add-sqr-sqrt
13×prod-exp
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×times-frac
7×cbrt-unprod
4×sinh-def associate-*r/ div-exp associate-*l* pow-prod-down
3×add-log-exp
2×cbrt-undiv rec-exp 1-exp *-commutative
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
3 → 67
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(* (sin x) (sinh y))
9.0ms
(* (* (sin x) (sinh y)) (/ 1 x))

series50.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
20.0ms
(* (sin x) (sinh y))
21.0ms
(* (* (sin x) (sinh y)) (/ 1 x))

simplify51.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0418471
12051387
25001347

prune60.0ms

Filtered
46 candidates to 76 candidates (-65.2%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh044
Picked011
Done033
Total76884

Merged error: 0b

Counts
84 → 8

regimes275.0ms

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
sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.520795%

Results
556.0ms1806×body1280valid
492.0ms10232×body80valid
407.0ms1948×body640valid
155.0ms1124×body320valid
59.0ms577×body160valid

Profiling

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