Details

Time bar (total: 7.3s)

sample131.0ms

Algorithm
intervals
Results
37.0ms72×body640valid
33.0ms67×body1280valid
23.0ms326×body80valid
8.0ms36×body320valid
4.0ms26×body160valid

simplify37.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
13.8b
(/ (* (sin x) (sinh y)) x)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×pow1
3×times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv sinh-def associate-*r/ div-exp prod-exp cbrt-unprod add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l/ associate-/l* unswap-sqr
Counts
2 → 41
Calls
2 calls:
18.0ms
(* (sin x) (sinh y))
21.0ms
(/ (* (sin x) (sinh y)) x)

series293.0ms

Counts
2 → 6
Calls
2 calls:
118.0ms
(* (sin x) (sinh y))
175.0ms
(/ (* (sin x) (sinh y)) x)

simplify30.0ms

Counts
47 → 47

prune112.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×associate-*r*
9×add-exp-log add-cbrt-cube
4×pow1
3×associate-*l* associate-/r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×sinh-def frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 60
Calls
2 calls:
8.0ms
(/ (sinh y) x)
19.0ms
(* (sin x) (/ (sinh y) x))

series196.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(/ (sinh y) x)
110.0ms
(* (sin x) (/ (sinh y) x))

simplify79.0ms

Counts
66 → 66

prune160.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.5b
(cbrt x)
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (cbrt x) (cbrt x))
268.0ms
(cbrt x)
243.0ms
(cbrt x)
209.0ms
(cbrt x)

simplify49.0ms

Counts
85 → 85

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (sin x) (sinh y))
13.8b
(* (* (sin x) (sinh y)) (/ 1 x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
16×associate-*r* add-cbrt-cube
13×add-sqr-sqrt prod-exp
11×add-cube-cbrt *-un-lft-identity
9×pow1 times-frac
7×cbrt-unprod
4×associate-*r/ div-exp associate-*l* pow-prod-down
3×sinh-def
2×cbrt-undiv rec-exp 1-exp *-commutative add-log-exp
1×frac-times associate-*l/ un-div-inv div-inv unswap-sqr
Counts
2 → 59
Calls
2 calls:
19.0ms
(* (sin x) (sinh y))
51.0ms
(* (* (sin x) (sinh y)) (/ 1 x))

series268.0ms

Counts
2 → 6
Calls
2 calls:
131.0ms
(* (sin x) (sinh y))
137.0ms
(* (* (sin x) (sinh y)) (/ 1 x))

simplify50.0ms

Counts
65 → 65

prune172.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify80.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.1s10283×body80valid
853.0ms1839×body1280valid
717.0ms1947×body640valid
448.0ms567×body160valid
241.0ms1076×body320valid