Details

Time bar (total: 29.3s)

sample108.0ms

Algorithm
intervals
Results
41.0ms103×body1280valid
22.0ms83×body640valid
14.0ms244×body80valid
7.0ms38×body320valid
3.0ms22×body160valid

simplify14.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2307
3677
41377
52657
64827
710417
819877
934847
1047307
done50007

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite53.0ms

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)
35.0ms
(* (sin x) (/ (sinh y) y))
11.0ms
(/ (sinh y) y)

series402.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(sinh y)
174.0ms
(* (sin x) (/ (sinh y) y))
147.0ms
(/ (sinh y) y)

simplify3.2s

Counts
83 → 83
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0146764
1337716
21075650
33709649
done5001648

prune302.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize25.0ms

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))) (sqrt (/ (sinh y) y)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
16×associate-*r*
13×add-exp-log sqrt-prod add-cbrt-cube
9×pow1
6×associate-/r* associate-/l*
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×sinh-def associate-*r/ pow-prod-down prod-exp cbrt-unprod div-inv
2×cbrt-undiv frac-2neg div-exp clear-num associate-/l/
1×frac-times associate-*l* associate-*l/ *-commutative
Counts
4 → 106
Calls
4 calls:
1.0ms
(sinh y)
7.0ms
(/ (sinh y) y)
7.0ms
(/ (sinh y) y)
71.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(sinh y)
155.0ms
(/ (sinh y) y)
128.0ms
(/ (sinh y) y)
197.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify1.9s

Counts
118 → 118
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02361521
16241282
221391148
done50001118

prune547.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
14.5b
(/ (* (sin x) (sinh y)) y)

rewrite35.0ms

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×expm1-log1p-u sinh-def times-frac associate-*r* associate-*l* associate-/r* log1p-expm1-u 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 → 55
Calls
3 calls:
1.0ms
(sinh y)
15.0ms
(* (sin x) (sinh y))
17.0ms
(/ (* (sin x) (sinh y)) y)

series339.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(sinh y)
119.0ms
(* (sin x) (sinh y))
151.0ms
(/ (* (sin x) (sinh y)) y)

simplify1.5s

Counts
64 → 64
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0123572
1281546
21031475
done5000455

prune198.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
11014
done1014

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.3s2993×body1280valid
1.2s2492×body640valid
811.0ms8460×body80valid
445.0ms1258×body320valid
206.0ms656×body160valid