Details

Time bar (total: 19.0s)

sample140.0ms

Algorithm
intervals
Results
44.0ms77×body1280valid
38.0ms49×body640valid
28.0ms343×body80valid
9.0ms32×body320valid
3.0ms18×body160valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5002
71834
6655
5258
4130
362
230
115
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.1b
(* (sin x) (sinh y))
15.6b
(/ (* (sin x) (sinh y)) x)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×pow1
3×expm1-log1p-u sinh-def associate-/r* times-frac associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr associate-/l/
Counts
3 → 58
Calls
3 calls:
2.0ms
(sinh y)
19.0ms
(* (sin x) (sinh y))
19.0ms
(/ (* (sin x) (sinh y)) x)

series357.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(sinh y)
124.0ms
(* (sin x) (sinh y))
142.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts
67 → 67
Iterations
IterNodes
done5001
21013
1297
0125

prune277.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

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
5×pow1
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sinh-def div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
3 → 77
Calls
3 calls:
2.0ms
(sinh y)
9.0ms
(/ (sinh y) x)
20.0ms
(* (sin x) (/ (sinh y) x))

series333.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(sinh y)
107.0ms
(/ (sinh y) x)
137.0ms
(* (sin x) (/ (sinh y) x))

simplify2.3s

Counts
86 → 86
Iterations
IterNodes
done5000
33686
21058
1362
0149

prune310.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
7.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series968.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(* (cbrt x) (cbrt x))
238.0ms
(cbrt x)
205.0ms
(cbrt x)
244.0ms
(cbrt x)

simplify2.6s

Counts
97 → 97
Iterations
IterNodes
done5003
44334
31106
2364
1141
067

prune399.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* y y) y)
0.2b
(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
0.4b
(/ 1/6 x)
2.0b
(/ (pow y 5) x)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
31×*-un-lft-identity add-cube-cbrt
30×times-frac
25×pow1
18×add-exp-log
15×add-cbrt-cube
12×unpow-prod-down
10×associate-/l*
6×associate-/r* pow-plus associate-*r* pow-prod-up
4×expm1-log1p-u div-exp associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp sqr-pow
2×pow2 cbrt-undiv clear-num frac-2neg pow-sqr *-commutative fma-udef div-inv unswap-sqr
1×distribute-rgt-in pow-to-exp distribute-lft-in pow3 pow-exp
Counts
4 → 132
Calls
4 calls:
17.0ms
(* (* y y) y)
12.0ms
(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
5.0ms
(/ 1/6 x)
9.0ms
(/ (pow y 5) x)

series296.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (* y y) y)
189.0ms
(* (sin x) (fma (/ 1/6 x) (* (* y y) y) (fma 1/120 (/ (pow y 5) x) (/ y x))))
23.0ms
(/ 1/6 x)
41.0ms
(/ (pow y 5) x)

simplify2.6s

Counts
144 → 144
Iterations
IterNodes
done5000
34973
21221
1449
0214

prune613.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.3s1901×body1280valid
1.1s10435×body80valid
888.0ms1918×body640valid
295.0ms1126×body320valid
133.0ms631×body160valid