Details

Time bar (total: 18.7s)

sample178.0ms

Algorithm
intervals
Results
75.0ms89×body1280valid
37.0ms74×body640valid
34.0ms296×body80valid
10.0ms29×body320valid
4.0ms15×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5004
71809
6607
5236
4126
365
230
115
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
pow1
associate-/r* associate-*l* insert-posit16 associate-/l* add-log-exp
cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 71
Calls
3 calls:
1.0ms
(sinh y)
14.0ms
(* (sin x) (/ (sinh y) y))
7.0ms
(/ (sinh y) y)

series314.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(sinh y)
125.0ms
(* (sin x) (/ (sinh y) y))
103.0ms
(/ (sinh y) y)

simplify1.9s

Counts
80 → 80
Iterations
IterNodes
done5004
33497
21059
1346
0143

prune350.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
106×add-sqr-sqrt
94×*-un-lft-identity
92×add-cube-cbrt
47×associate-*r*
36×add-exp-log
20×add-cbrt-cube
17×associate-/r*
15×div-exp
10×associate-/r/ div-inv
sinh-def
pow1 cbrt-undiv prod-exp
associate-/l*
unswap-sqr
rec-exp 1-exp insert-posit16 add-log-exp
associate-*l* cbrt-unprod
clear-num frac-2neg
pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 196
Calls
4 calls:
1.0ms
(sinh y)
4.0ms
(/ y (sinh y))
29.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
14.0ms
(/ 1 (/ y (sinh y)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sinh y)
125.0ms
(/ y (sinh y))
150.0ms
(* (sin x) (/ 1 (/ y (sinh y))))
142.0ms
(/ 1 (/ y (sinh y)))

simplify1.7s

Counts
208 → 208
Iterations
IterNodes
done5000
22149
1802
0295

prune560.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×associate-/r*
10×add-cbrt-cube add-exp-log
sinh-def associate-/r/ div-inv associate-/l*
cbrt-undiv div-exp
pow1 insert-posit16 add-log-exp
clear-num frac-2neg
Counts
3 → 113
Calls
3 calls:
1.0ms
(sinh y)
4.0ms
(/ y (sinh y))
10.0ms
(/ (sin x) (/ y (sinh y)))

series333.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(sinh y)
130.0ms
(/ y (sinh y))
126.0ms
(/ (sin x) (/ y (sinh y)))

simplify1.3s

Counts
122 → 122
Iterations
IterNodes
done5000
21703
1549
0222

prune376.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sin x) (/ 1 (/ (sinh y) y)))
0.0b
(sinh y)
0.0b
(/ 1 (/ (sinh y) y))
0.0b
(/ (sinh y) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
480×times-frac
239×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
60×associate-/r*
36×add-exp-log
23×div-inv
22×div-exp
20×add-cbrt-cube
10×cbrt-undiv
associate-/l*
associate-/r/
pow1
rec-exp 1-exp insert-posit16 add-log-exp
clear-num frac-2neg
sinh-def
pow-flip inv-pow associate-/l/
Counts
4 → 316
Calls
4 calls:
15.0ms
(/ (sin x) (/ 1 (/ (sinh y) y)))
1.0ms
(sinh y)
6.0ms
(/ 1 (/ (sinh y) y))
6.0ms
(/ (sinh y) y)

series406.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(/ (sin x) (/ 1 (/ (sinh y) y)))
81.0ms
(sinh y)
108.0ms
(/ 1 (/ (sinh y) y))
107.0ms
(/ (sinh y) y)

simplify1.7s

Counts
328 → 328
Iterations
IterNodes
done5002
23109
11398
0516

prune809.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done10
110
08

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.0s2897×body1280valid
1.5s2313×body640valid
1.3s8579×body80valid
555.0ms1243×body320valid
135.0ms650×body160valid