Details

Time bar (total: 3.8s)

sample86.0ms

Algorithm
intervals
Results
33.0ms96×body1280valid
15.0ms81×body640valid
12.0ms284×body80valid
4.0ms32×body320valid
2.0ms22×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
850014

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:
3.0ms
(/ (sinh y) y)
1.0ms
(sinh y)
7.0ms
(* (sin x) (/ (sinh y) y))

series42.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (sinh y) y)
7.0ms
(sinh y)
21.0ms
(* (sin x) (/ (sinh y) y))

simplify38.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0333428
11323384
25002382

prune75.0ms

Filtered
60 candidates to 77 candidates (-28.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh000
Picked101
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
29×add-cube-cbrt *-un-lft-identity
28×times-frac
16×associate-*r*
15×sqrt-prod
10×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/l*
4×add-log-exp
3×sinh-def associate-*l* div-inv unswap-sqr
2×cbrt-undiv frac-2neg div-exp clear-num associate-/l/
1×sqrt-div associate-*r/ pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
2.0ms
(sinh y)
6.0ms
(/ (sinh y) y)
6.0ms
(/ (sinh y) y)
10.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sinh y)
11.0ms
(/ (sinh y) y)
11.0ms
(/ (sinh y) y)
50.0ms
(* (sin x) (sqrt (/ (sinh y) y)))

simplify83.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
0650815
13366764
25001760

prune147.0ms

Filtered
90 candidates to 110 candidates (-22.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1100110
Fresh033
Picked011
Done000
Total1104114

Merged error: 0b

Counts
114 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.6b
(* (* (sin x) (sinh y)) (/ 1 y))

rewrite15.0ms

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))
8.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

series46.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(sinh y)
17.0ms
(* (sin x) (sinh y))
21.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

simplify55.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0418471
12052387
25001347

prune63.0ms

Filtered
48 candidates to 76 candidates (-58.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New76076
Fresh022
Picked011
Done011
Total76480

Merged error: 0b

Counts
80 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/6 (* x (pow y 2))) x)
0.2b
(* 1/6 (* x (pow y 2)))
0.3b
(* 1/6 (pow x 3))
9.0b
(* x (pow y 2))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×add-exp-log
21×associate-*r*
13×prod-exp add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
9×associate-*l*
8×unpow-prod-down unswap-sqr
6×pow1 add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-to-exp pow-exp *-commutative
2×unpow2
1×+-commutative cube-mult flip3-+ unpow3 pow-prod-down sum-log flip-+
Counts
4 → 88
Calls
4 calls:
5.0ms
(+ (* 1/6 (* x (pow y 2))) x)
5.0ms
(* 1/6 (* x (pow y 2)))
6.0ms
(* 1/6 (pow x 3))
5.0ms
(* x (pow y 2))

series30.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* 1/6 (* x (pow y 2))) x)
8.0ms
(* 1/6 (* x (pow y 2)))
4.0ms
(* 1/6 (pow x 3))
7.0ms
(* x (pow y 2))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0312395
11412350
25001347

prune116.0ms

Filtered
60 candidates to 100 candidates (-66.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1000100
Fresh011
Picked011
Done022
Total1004104

Merged error: 0b

Counts
104 → 4

regimes157.0ms

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
0109
1109

end0.0ms

sample2.6s

Algorithm
intervals
Results
942.0ms3038×body1280valid
506.0ms2525×body640valid
397.0ms8599×body80valid
189.0ms1269×body320valid
65.0ms680×body160valid

Profiling

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