Details

Time bar (total: 14.8s)

sample153.0ms

Algorithm
intervals
Results
48.0ms69×body640valid
46.0ms83×body1280valid
26.0ms318×body80valid
9.0ms37×body320valid
3.0ms16×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5002
74266
6847
5280
4144
369
232
115
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
12.8b
(/ (* (sin x) (sinh y)) x)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1
sinh-def associate-/r* times-frac associate-*r* associate-*l* add-log-exp
cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
3 → 49
Calls
3 calls:
2.0ms
(sinh y)
18.0ms
(* (sin x) (sinh y))
17.0ms
(/ (* (sin x) (sinh y)) x)

series348.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(sinh y)
122.0ms
(* (sin x) (sinh y))
144.0ms
(/ (* (sin x) (sinh y)) x)

simplify767.0ms

Counts
58 → 58
Iterations
IterNodes
done5001
21600
1290
0116

prune310.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ (sinh y) x)
0.2b
(* (sin x) (/ (sinh y) x))

rewrite28.0ms

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* 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 → 68
Calls
3 calls:
5.0ms
(sinh y)
5.0ms
(/ (sinh y) x)
14.0ms
(* (sin x) (/ (sinh y) x))

series299.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(sinh y)
83.0ms
(/ (sinh y) x)
149.0ms
(* (sin x) (/ (sinh y) x))

simplify995.0ms

Counts
77 → 77
Iterations
IterNodes
done5000
21605
1340
0140

prune463.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.0b
(/ x (sinh y))
0.9b
(/ (sin x) (/ x (sinh y)))

rewrite31.0ms

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 add-log-exp
clear-num frac-2neg
Counts
3 → 110
Calls
3 calls:
2.0ms
(sinh y)
7.0ms
(/ x (sinh y))
17.0ms
(/ (sin x) (/ x (sinh y)))

series377.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(sinh y)
149.0ms
(/ x (sinh y))
130.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.4s

Counts
119 → 119
Iterations
IterNodes
done5000
22660
1533
0215

prune609.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(sinh y)
0.0b
(/ 1 (sinh y))
0.1b
(/ (sin x) x)
0.2b
(/ (/ (sin x) x) (/ 1 (sinh y)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
461×times-frac
223×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
32×add-exp-log div-inv
20×associate-/r* add-cbrt-cube
19×div-exp associate-/l*
16×sinh-def associate-/r/
10×cbrt-undiv
pow1
add-log-exp
rec-exp clear-num frac-2neg 1-exp
pow-flip inv-pow associate-/l/
Counts
4 → 300
Calls
4 calls:
1.0ms
(sinh y)
8.0ms
(/ 1 (sinh y))
6.0ms
(/ (sin x) x)
29.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sinh y)
81.0ms
(/ 1 (sinh y))
50.0ms
(/ (sin x) x)
152.0ms
(/ (/ (sin x) x) (/ 1 (sinh y)))

simplify1.0s

Counts
312 → 312
Iterations
IterNodes
done5001
11633
0499

prune1.5s

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample3.6s

Algorithm
intervals
Results
955.0ms1845×body1280valid
777.0ms10234×body80valid
727.0ms2031×body640valid
592.0ms1117×body320valid
82.0ms624×body160valid