Details

Time bar (total: 11.0s)

sample111.0ms

Algorithm
intervals
Results
32.0ms64×body1280valid
29.0ms49×body640valid
26.0ms336×body80valid
8.0ms32×body320valid
3.0ms20×body160valid

simplify864.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
71834
6655
5258
4130
362
230
115
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
15.9b
(/ (* (sin x) (sinh y)) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity add-cube-cbrt
4×pow1
3×associate-/r* times-frac associate-*r* associate-*l*
2×expm1-log1p-u cbrt-undiv sinh-def div-exp prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 47
Calls
2 calls:
15.0ms
(* (sin x) (sinh y))
21.0ms
(/ (* (sin x) (sinh y)) x)

series222.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(* (sin x) (sinh y))
121.0ms
(/ (* (sin x) (sinh y)) x)

simplify438.0ms

Counts
53 → 53
Iterations
IterNodes
done2014
2961
1273
0113

prune188.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×associate-*r*
9×add-cbrt-cube add-exp-log
4×pow1
3×associate-/r* associate-*l* associate-/l*
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×sinh-def clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 66
Calls
2 calls:
9.0ms
(/ (sinh y) x)
21.0ms
(* (sin x) (/ (sinh y) x))

series218.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ (sinh y) x)
122.0ms
(* (sin x) (/ (sinh y) x))

simplify550.0ms

Counts
72 → 72
Iterations
IterNodes
done2001
21056
1342
0138

prune218.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (sinh y))
0.3b
(/ (sin x) (/ x (sinh y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
87×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×associate-/r*
9×add-cbrt-cube add-exp-log
6×associate-/r/ div-inv associate-/l*
5×sinh-def
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 108
Calls
2 calls:
4.0ms
(/ x (sinh y))
10.0ms
(/ (sin x) (/ x (sinh y)))

series226.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(/ x (sinh y))
107.0ms
(/ (sin x) (/ x (sinh y)))

simplify577.0ms

Counts
114 → 114
Iterations
IterNodes
done2004
21633
1523
0211

prune384.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))
0.6b
(cbrt (sin x))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))
1.0ms
(cbrt (sin x))

series628.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(cbrt x)
133.0ms
(cbrt (sin x))
151.0ms
(cbrt (sin x))
118.0ms
(cbrt (sin x))

simplify753.0ms

Counts
68 → 68
Iterations
IterNodes
done2002
41339
3513
2230
1103
055

prune346.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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

sample5.0s

Algorithm
intervals
Results
1.6s10394×body80valid
1.3s1801×body1280valid
1.3s1886×body640valid
405.0ms1104×body320valid
157.0ms609×body160valid