Details

Time bar (total: 16.2s)

sample98.0ms

Algorithm
intervals
Results
24.0ms70×body640valid
23.0ms58×body1280valid
19.0ms316×body80valid
6.0ms31×body320valid
3.0ms21×body160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2327
3697
41447
52817
68477
742867
done50007

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
13.7b
(/ (* (sin x) (sinh y)) x)

rewrite39.0ms

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:
2.0ms
(sinh y)
13.0ms
(* (sin x) (sinh y))
23.0ms
(/ (* (sin x) (sinh y)) x)

series363.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(sinh y)
115.0ms
(* (sin x) (sinh y))
166.0ms
(/ (* (sin x) (sinh y)) x)

simplify962.0ms

Counts
58 → 58
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
0117538
1293516
21599448
done5002448

prune252.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.4b
(* (sin x) (/ (sinh y) x))

rewrite34.0ms

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:
2.0ms
(sinh y)
8.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

series371.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(sinh y)
117.0ms
(/ (sinh y) x)
169.0ms
(* (sin x) (/ (sinh y) x))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0140738
1342703
21610640
done5000633

prune275.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (sinh y))
0.0b
(sinh y)
0.8b
(/ (sin x) (/ x (sinh y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×associate-/r*
10×add-exp-log add-cbrt-cube
6×sinh-def associate-/r/ div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×frac-2neg clear-num
Counts
3 → 110
Calls
3 calls:
10.0ms
(/ x (sinh y))
2.0ms
(sinh y)
17.0ms
(/ (sin x) (/ x (sinh y)))

series379.0ms

Counts
3 → 9
Calls
3 calls:
133.0ms
(/ x (sinh y))
99.0ms
(sinh y)
146.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.1s

Counts
119 → 119
Iterations

Useful iterations: 2 (336.0ms)

IterNodesCost
02151544
15321472
226491388
done50001388

prune479.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(/ (sin x) (/ (cbrt x) (sinh y)))
8.8b
(* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
290×times-frac
182×add-sqr-sqrt
151×*-un-lft-identity
147×add-cube-cbrt
87×add-exp-log
74×associate-*r*
72×cbrt-prod
36×div-exp
35×add-cbrt-cube
30×prod-exp
23×associate-/r*
18×cbrt-undiv
12×cbrt-unprod unswap-sqr
10×div-inv
9×associate-/r/
7×sinh-def associate-*l*
6×pow1 rec-exp 1-exp
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 267
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
36.0ms
(/ (sin x) (/ (cbrt x) (sinh y)))
158.0ms
(* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))))

series997.0ms

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt x)
260.0ms
(cbrt x)
265.0ms
(/ (sin x) (/ (cbrt x) (sinh y)))
205.0ms
(* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))))

simplify865.0ms

Counts
279 → 279
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
04345258
115024934
done50004382

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample4.4s

Algorithm
intervals
Results
1.3s10318×body80valid
987.0ms1989×body640valid
955.0ms1878×body1280valid
355.0ms1093×body320valid
128.0ms619×body160valid