Details

Time bar (total: 20.5s)

sample153.0ms

Algorithm
intervals
Results
66.0ms83×body1280valid
25.0ms318×body80valid
24.0ms69×body640valid
9.0ms37×body320valid
3.0ms16×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: 12.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(sinh y)
0.2b
(* (sin x) (sinh y))
12.8b
(/ (* (sin x) (sinh y)) x)

rewrite22.0ms

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* 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 → 49
Calls
3 calls:
1.0ms
(sinh y)
9.0ms
(* (sin x) (sinh y))
11.0ms
(/ (* (sin x) (sinh y)) x)

series324.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(sinh y)
122.0ms
(* (sin x) (sinh y))
119.0ms
(/ (* (sin x) (sinh y)) x)

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
done5002
2973
1285
0116

prune247.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
10×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
4×cbrt-undiv div-exp
3×pow1 add-log-exp
2×sinh-def clear-num frac-2neg
1×associate-/r/ associate-/l/
Counts
3 → 106
Calls
3 calls:
1.0ms
(sinh y)
13.0ms
(/ (sinh y) (/ x (sin x)))
4.0ms
(/ x (sin x))

series262.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(sinh y)
130.0ms
(/ (sinh y) (/ x (sin x)))
47.0ms
(/ x (sin x))

simplify1.4s

Counts
115 → 115
Iterations
IterNodes
done5000
21521
1503
0204

prune661.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))
0.3b
(cbrt (/ x (sin x)))
0.3b
(cbrt (/ x (sin x)))
0.3b
(cbrt (/ x (sin x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 144
Calls
4 calls:
34.0ms
(* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))
4.0ms
(cbrt (/ x (sin x)))
4.0ms
(cbrt (/ x (sin x)))
4.0ms
(cbrt (/ x (sin x)))

series801.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(* (cbrt (/ x (sin x))) (cbrt (/ x (sin x))))
188.0ms
(cbrt (/ x (sin x)))
195.0ms
(cbrt (/ x (sin x)))
181.0ms
(cbrt (/ x (sin x)))

simplify3.1s

Counts
156 → 156
Iterations
IterNodes
done5000
44673
31526
2679
1312
0169

prune926.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize143.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite7.0ms

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)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
313.0ms
(cbrt x)
256.0ms
(cbrt x)
289.0ms
(cbrt x)

simplify3.3s

Counts
56 → 56
Iterations
IterNodes
done5000
64494
51126
4390
3175
294
144
024

prune497.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.3s1845×body1280valid
1.2s10234×body80valid
697.0ms2031×body640valid
271.0ms1117×body320valid
118.0ms624×body160valid