Details

Time bar (total: 5.5s)

sample83.0ms

Algorithm
intervals
Results
34.0ms111×body1280valid
14.0ms75×body640valid
13.0ms284×body80valid
6.0ms47×body320valid
3.0ms29×body160valid

simplify78.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1304
2664
31374
42624
55004
614274
746404
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: 0.0b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (/ (sinh 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×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)
4.0ms
(/ (sinh y) y)
8.0ms
(* (sin x) (/ (sinh y) y))

series243.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sinh y)
84.0ms
(/ (sinh y) y)
100.0ms
(* (sin x) (/ (sinh y) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333428
11323384
25002382

prune143.0ms

Filtered
77 candidates to 60 candidates (77.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New74377
Fresh000
Picked011
Done000
Total74478

Merged error: 0b

Counts
78 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity times-frac
32×associate-*r*
28×sqrt-prod
15×add-exp-log add-cbrt-cube
11×pow1
6×associate-/r* associate-/l*
5×sqrt-div
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod div-inv add-log-exp
3×unswap-sqr
2×cbrt-undiv sinh-def frac-2neg div-exp clear-num *-commutative associate-/l/
1×frac-times associate-*l/
Counts
4 → 124
Calls
4 calls:
4.0ms
(/ (sinh y) y)
4.0ms
(/ (sinh y) y)
9.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
12.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series488.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(/ (sinh y) y)
86.0ms
(/ (sinh y) y)
181.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
116.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify126.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
08971256
144971110
250031102

prune344.0ms

Filtered
136 candidates to 106 candidates (77.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done011
Total1364140

Merged error: 0b

Counts
140 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
0.0b
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.1b
(* 1/120 (pow y 5))
0.1b
(* 1/6 (pow y 3))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
32×associate-*r*
27×add-cube-cbrt *-un-lft-identity
21×add-exp-log
19×times-frac
15×add-cbrt-cube
9×associate-*l* unswap-sqr
8×unpow-prod-down prod-exp
6×pow1
4×cube-prod cbrt-unprod add-log-exp sqr-pow
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv pow-to-exp div-exp pow-exp div-inv associate-/l/
1×cube-mult frac-2neg flip3-+ unpow3 associate-*r/ pow-prod-down clear-num flip-+
Counts
4 → 117
Calls
4 calls:
11.0ms
(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
14.0ms
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
6.0ms
(* 1/120 (pow y 5))
6.0ms
(* 1/6 (pow y 3))

series363.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
203.0ms
(* (sin x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
46.0ms
(* 1/120 (pow y 5))
39.0ms
(* 1/6 (pow y 3))

simplify79.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05031030
12584920
25001920

prune280.0ms

Filtered
129 candidates to 89 candidates (69.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done022
Total1294133

Merged error: 0b

Counts
133 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
16.3b
(* (* (sin x) (sinh y)) (/ 1 y))

rewrite18.0ms

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)
5.0ms
(* (sin x) (sinh y))
9.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

series243.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(sinh y)
82.0ms
(* (sin x) (sinh y))
103.0ms
(* (* (sin x) (sinh y)) (/ 1 y))

simplify57.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0418471
12052387
25001347

prune114.0ms

Filtered
76 candidates to 48 candidates (63.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New76076
Fresh000
Picked011
Done033
Total76480

Merged error: 0b

Counts
80 → 4

regimes98.0ms

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

sample2.6s

Algorithm
intervals
Results
944.0ms2968×body1280valid
692.0ms2474×body640valid
394.0ms8473×body80valid
175.0ms1229×body320valid
64.0ms677×body160valid

Profiling

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