Details

Time bar (total: 21.2s)

sample98.0ms

Algorithm
intervals
Results
38.0ms77×body1280valid
22.0ms343×body80valid
14.0ms49×body640valid
6.0ms32×body320valid
3.0ms18×body160valid

simplify1.9s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize25.0ms

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)

rewrite54.0ms

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×sinh-def associate-/r* times-frac associate-*r* associate-*l* insert-posit16 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 → 52
Calls
3 calls:
3.0ms
(sinh y)
22.0ms
(* (sin x) (sinh y))
28.0ms
(/ (* (sin x) (sinh y)) x)

series383.0ms

Counts
3 → 9
Calls
3 calls:
100.0ms
(sinh y)
126.0ms
(* (sin x) (sinh y))
158.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts
61 → 61
Iterations
IterNodes
done5000
2967
1288
0119

prune250.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

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×associate-/r* associate-*l* insert-posit16 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 → 71
Calls
3 calls:
1.0ms
(sinh y)
11.0ms
(/ (sinh y) x)
21.0ms
(* (sin x) (/ (sinh y) x))

series282.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(sinh y)
87.0ms
(/ (sinh y) x)
130.0ms
(* (sin x) (/ (sinh y) x))

simplify2.0s

Counts
80 → 80
Iterations
IterNodes
done5001
33520
21006
1346
0143

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize30.0ms

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)

rewrite20.0ms

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×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
15.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt x) (cbrt x))
254.0ms
(cbrt x)
237.0ms
(cbrt x)
294.0ms
(cbrt x)

simplify3.4s

Counts
89 → 89
Iterations
IterNodes
done5002
43832
31045
2380
1138
063

prune413.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ x 1/120)
0.2b
(* (sin x) (+ (+ (* (/ (* y y) (/ x y)) 1/6) (/ y x)) (/ (pow y 5) (/ x 1/120))))
1.9b
(/ (* y y) (/ x y))
2.0b
(/ (pow y 5) (/ x 1/120))

rewrite401.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
114×add-sqr-sqrt *-un-lft-identity
112×add-cube-cbrt
42×unpow-prod-down
33×add-exp-log
29×associate-/r*
25×add-cbrt-cube
16×div-exp
14×sqr-pow
13×div-inv
11×associate-/l*
10×cbrt-undiv
6×pow1
5×associate-*r/
4×associate-*r* frac-add insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l* prod-exp cbrt-unprod
2×pow-to-exp flip3-+ pow-exp associate-/r/ flip-+
1×distribute-rgt-in distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out unswap-sqr
Counts
4 → 233
Calls
4 calls:
4.0ms
(/ x 1/120)
370.0ms
(* (sin x) (+ (+ (* (/ (* y y) (/ x y)) 1/6) (/ y x)) (/ (pow y 5) (/ x 1/120))))
11.0ms
(/ (* y y) (/ x y))
11.0ms
(/ (pow y 5) (/ x 1/120))

series370.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ x 1/120)
264.0ms
(* (sin x) (+ (+ (* (/ (* y y) (/ x y)) 1/6) (/ y x)) (/ (pow y 5) (/ x 1/120))))
26.0ms
(/ (* y y) (/ x y))
50.0ms
(/ (pow y 5) (/ x 1/120))

simplify3.0s

Counts
245 → 245
Iterations
IterNodes
done5001
24949
11268
0442

prune1.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes195.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done10
110
09

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.4s1918×body640valid
1.1s1901×body1280valid
956.0ms10435×body80valid
290.0ms1126×body320valid
94.0ms631×body160valid