Details

Time bar (total: 6.7s)

sample82.0ms

Algorithm
intervals
Results
31.0ms103×body1280valid
16.0ms83×body640valid
11.0ms245×body80valid
5.0ms37×body320valid
2.0ms22×body160valid

simplify64.0ms

Counts
1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
10×add-exp-log add-cbrt-cube
5×pow1
3×associate-*l* associate-/r* associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
3 → 68
Calls
3 calls:
19.0ms
(* (cos x) (/ (sinh y) y))
1.0ms
(sinh y)
10.0ms
(/ (sinh y) y)

series259.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(* (cos x) (/ (sinh y) y))
65.0ms
(sinh y)
95.0ms
(/ (sinh y) y)

simplify38.0ms

Counts
77 → 77

prune176.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
80×add-sqr-sqrt
66×sqrt-prod
60×times-frac
52×add-cube-cbrt *-un-lft-identity
19×pow1
18×swap-sqr
16×associate-*r* associate-*l*
10×add-exp-log add-cbrt-cube
9×unswap-sqr
8×sqrt-pow1 pow1/2
6×associate-/r* div-inv associate-/l*
5×pow-prod-up
4×sqrt-div add-log-exp
3×sinh-def pow-prod-down pow-sqr
2×cbrt-undiv frac-2neg div-exp clear-num associate-/l/
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 151
Calls
4 calls:
1.0ms
(sinh y)
8.0ms
(/ (sinh y) y)
8.0ms
(/ (sinh y) y)
38.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

series341.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(sinh y)
89.0ms
(/ (sinh y) y)
91.0ms
(/ (sinh y) y)
96.0ms
(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))

simplify70.0ms

Counts
163 → 163

prune412.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt (sinh y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
1×sinh-def cbrt-div
Counts
4 → 45
Calls
4 calls:
1.0ms
(cbrt (sinh y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series782.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (sinh y))
210.0ms
(cbrt y)
197.0ms
(cbrt y)
202.0ms
(cbrt y)

simplify59.0ms

Counts
57 → 57

prune187.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
5×pow1
3×sinh-def times-frac associate-*r* associate-*l* associate-/r* add-log-exp
2×cbrt-undiv associate-*r/ div-exp prod-exp cbrt-unprod
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(sinh y)
16.0ms
(* (cos x) (sinh y))
14.0ms
(/ (* (cos x) (sinh y)) y)

series245.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(sinh y)
85.0ms
(* (cos x) (sinh y))
99.0ms
(/ (* (cos x) (sinh y)) y)

simplify31.0ms

Counts
58 → 58

prune115.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.4s2996×body1280valid
797.0ms8475×body80valid
628.0ms2496×body640valid
237.0ms1262×body320valid
92.0ms645×body160valid