Details

Time bar (total: 16.4s)

sample153.0ms

Algorithm
intervals
Results
36.0ms31×body320valid
34.0ms58×body1280valid
27.0ms316×body80valid
26.0ms70×body640valid
4.0ms21×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2327
3697
41467
52967
68847
744737
done50007

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize11.0ms

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)

rewrite67.0ms

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:
3.0ms
(sinh y)
32.0ms
(* (sin x) (sinh y))
29.0ms
(/ (* (sin x) (sinh y)) x)

series386.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(sinh y)
144.0ms
(* (sin x) (sinh y))
144.0ms
(/ (* (sin x) (sinh y)) x)

simplify915.0ms

Counts
64 → 64
Iterations

Useful iterations: done (913.0ms)

IterNodesCost
0123572
1302546
21572486
done5002481

prune243.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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)
12.0ms
(/ (sinh y) x)
33.0ms
(* (sin x) (/ (sinh y) x))

series335.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(sinh y)
110.0ms
(/ (sinh y) x)
134.0ms
(* (sin x) (/ (sinh y) x))

simplify1.2s

Counts
83 → 83
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0146770
1357731
21676662
done5000655

prune255.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg clear-num
Counts
3 → 116
Calls
3 calls:
1.0ms
(sinh y)
6.0ms
(/ x (sinh y))
33.0ms
(/ (sin x) (/ x (sinh y)))

series352.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(sinh y)
138.0ms
(/ x (sinh y))
132.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.4s

Counts
125 → 125
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02211576
15541501
227591415
done50001413

prune451.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize25.0ms

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))))

rewrite161.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 275
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
24.0ms
(/ (sin x) (/ (cbrt x) (sinh y)))
107.0ms
(* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))))

series946.0ms

Counts
4 → 12
Calls
4 calls:
279.0ms
(cbrt x)
244.0ms
(cbrt x)
229.0ms
(/ (sin x) (/ (cbrt x) (sinh y)))
194.0ms
(* (/ 1 (* (cbrt x) (cbrt x))) (/ (sin x) (/ (cbrt x) (sinh y))))

simplify846.0ms

Counts
287 → 287
Iterations

Useful iterations: done (835.0ms)

IterNodesCost
04405322
115034996
done50004440

prune1.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.1s10318×body80valid
915.0ms1878×body1280valid
729.0ms1989×body640valid
614.0ms1093×body320valid
130.0ms619×body160valid