Details

Time bar (total: 16.6s)

sample89.0ms

Algorithm
intervals
Results
27.0ms64×body1280valid
20.0ms319×body80valid
15.0ms55×body640valid
6.0ms30×body320valid
2.0ms16×body160valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5000
71703
6620
5247
4128
362
230
115
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
15.6b
(/ (* (sin x) (sinh y)) x)

rewrite34.0ms

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×cbrt-undiv sinh-def div-exp prod-exp associate-*r/ cbrt-unprod add-log-exp
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
2 → 41
Calls
2 calls:
15.0ms
(* (sin x) (sinh y))
18.0ms
(/ (* (sin x) (sinh y)) x)

series252.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(* (sin x) (sinh y))
143.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.1s

Counts
47 → 47
Iterations
IterNodes
done5000
2939
1267
0107

prune239.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite28.0ms

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×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×sinh-def clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
8.0ms
(/ (sinh y) x)
18.0ms
(* (sin x) (/ (sinh y) x))

series236.0ms

Counts
2 → 6
Calls
2 calls:
102.0ms
(/ (sinh y) x)
134.0ms
(* (sin x) (/ (sinh y) x))

simplify2.1s

Counts
66 → 66
Iterations
IterNodes
done5000
33576
21020
1327
0132

prune279.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 102
Calls
2 calls:
4.0ms
(/ x (sinh y))
13.0ms
(/ (sin x) (/ x (sinh y)))

series279.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(/ x (sinh y))
138.0ms
(/ (sin x) (/ x (sinh y)))

simplify1.2s

Counts
108 → 108
Iterations
IterNodes
done5001
21576
1506
0205

prune527.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))
0.7b
(cbrt (sin x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))
2.0ms
(cbrt (sin x))

series643.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt x)
124.0ms
(cbrt (sin x))
134.0ms
(cbrt (sin x))
127.0ms
(cbrt (sin x))

simplify2.3s

Counts
56 → 56
Iterations
IterNodes
done5001
54633
41466
3513
2218
196
049

prune307.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes230.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.5s10344×body80valid
1.2s1951×body640valid
954.0ms1851×body1280valid
361.0ms1158×body320valid
208.0ms621×body160valid