Details

Time bar (total: 23.3s)

sample157.0ms

Algorithm
intervals
Results
77.0ms110×body1280valid
27.0ms293×body80valid
25.0ms63×body640valid
11.0ms35×body320valid
4.0ms18×body160valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5003
72119
6688
5258
4133
367
230
115
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

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
expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u 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 → 77
Calls
3 calls:
1.0ms
(sinh y)
9.0ms
(/ (sinh y) y)
17.0ms
(* (sin x) (/ (sinh y) y))

series318.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(sinh y)
108.0ms
(/ (sinh y) y)
130.0ms
(* (sin x) (/ (sinh y) y))

simplify2.3s

Counts
86 → 86
Iterations
IterNodes
done5002
34516
21101
1363
0149

prune337.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*r*
28×add-sqr-sqrt sqrt-prod
21×*-un-lft-identity add-cube-cbrt
19×times-frac
11×pow1 add-cbrt-cube add-exp-log
sqrt-div
expm1-log1p-u associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
unswap-sqr
sinh-def *-commutative div-inv
frac-times associate-*l/
Counts
4 → 96
Calls
4 calls:
3.0ms
(sinh y)
2.0ms
(sinh y)
13.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
32.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series548.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sinh y)
67.0ms
(sinh y)
216.0ms
(* (sin x) (sqrt (/ (sinh y) y)))
190.0ms
(* (* (sin x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify3.8s

Counts
108 → 108
Iterations
IterNodes
done5006
24047
1935
0317

prune618.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (sinh y) y)
0.0b
(* (sin x) (exp (log (/ (sinh y) y))))
0.0b
(exp (log (/ (sinh y) y)))
2.6b
(log (/ (sinh y) y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
41×log-prod
37×times-frac
36×*-un-lft-identity add-cube-cbrt
28×exp-sum
16×associate-*r*
10×add-exp-log
pow1 add-cbrt-cube
expm1-log1p-u exp-prod insert-posit16 log1p-expm1-u div-inv add-log-exp
log-div associate-/r* associate-*l* associate-/l* unswap-sqr
exp-diff div-exp rem-log-exp log-pow
cbrt-undiv sinh-def clear-num frac-2neg pow-prod-down prod-exp associate-*r/ *-commutative cbrt-unprod rem-exp-log associate-/l/
Counts
4 → 124
Calls
4 calls:
13.0ms
(/ (sinh y) y)
24.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
4.0ms
(exp (log (/ (sinh y) y)))
2.0ms
(log (/ (sinh y) y))

series779.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(/ (sinh y) y)
148.0ms
(* (sin x) (exp (log (/ (sinh y) y))))
128.0ms
(exp (log (/ (sinh y) y)))
374.0ms
(log (/ (sinh y) y))

simplify2.1s

Counts
136 → 136
Iterations
IterNodes
done5002
33455
21144
1445
0217

prune765.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.7b
(/ (* (sin x) (sinh y)) y)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
add-sqr-sqrt
*-un-lft-identity add-cube-cbrt
pow1
expm1-log1p-u sinh-def associate-/r* times-frac associate-*r* associate-*l* insert-posit16 log1p-expm1-u 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 → 58
Calls
3 calls:
3.0ms
(sinh y)
21.0ms
(* (sin x) (sinh y))
27.0ms
(/ (* (sin x) (sinh y)) y)

series344.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(sinh y)
115.0ms
(* (sin x) (sinh y))
145.0ms
(/ (* (sin x) (sinh y)) y)

simplify1.3s

Counts
67 → 67
Iterations
IterNodes
done5000
21059
1297
0125

prune307.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes115.0ms

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

sample7.5s

Algorithm
intervals
Results
2.7s3059×body1280valid
2.1s8614×body80valid
1.5s2422×body640valid
549.0ms1258×body320valid
211.0ms655×body160valid