Details

sample136.0ms

Algorithm

intervals

Results

47.0ms	91×	body	1280	valid
34.0ms	274×	body	80	valid
24.0ms	82×	body	640	valid
8.0ms	36×	body	320	valid
2.0ms	10×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	139	7
5	271	7
6	828	7
7	4211	7
done	5000	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `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 → 74

Calls

3 calls:

2.0ms	(sinh y)
32.0ms	(* (sin x) (/ (sinh y) y))
21.0ms	(/ (sinh y) y)

series278.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(sinh y)
109.0ms	(* (sin x) (/ (sinh y) y))
102.0ms	(/ (sinh y) y)

simplify1.2s

Counts

83 → 83

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	146	764
1	363	720
2	1758	656
done	5001	649

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`add-exp-log`
16×	`associate-r`
14×	`add-cbrt-cube`
13×	`pow1` `cbrt-prod`
12×	`cbrt-div`
11×	`associate-*l/`
9×	`associate-/r` `associate-/l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `sinh-def` `frac-2neg` `associate-*r/` `div-exp` `clear-num` `associate-/l/`
1×	`associate-l` `*-commutative`

Counts

4 → 133

Calls

4 calls:

12.0ms	(/ (sinh y) y)
12.0ms	(/ (sinh y) y)
9.0ms	(/ (sinh y) y)
173.0ms	(* (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (sin x)) (cbrt (/ (sinh y) y)))

series386.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (sinh y) y)
103.0ms	(/ (sinh y) y)
92.0ms	(/ (sinh y) y)
97.0ms	(* (* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (sin x)) (cbrt (/ (sinh y) y)))

simplify1.5s

Counts

145 → 145

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	172	1896
1	432	1810
2	2215	1494
done	5000	1410

prune726.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(/ (sinh y) y)
0.0b	(pow (/ (sinh y) y) 3)
0.2b	(cbrt (pow (/ (sinh y) y) 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
32×	`cbrt-prod`
26×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `sinh-def` `unpow3` `div-exp` `pow-exp` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `rem-cbrt-cube` `associate-/l/`

Counts

4 → 132

Calls

4 calls:

1.0ms	(sinh y)
8.0ms	(/ (sinh y) y)
7.0ms	(pow (/ (sinh y) y) 3)
6.0ms	(cbrt (pow (/ (sinh y) y) 3))

series434.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(sinh y)
111.0ms	(/ (sinh y) y)
126.0ms	(pow (/ (sinh y) y) 3)
105.0ms	(cbrt (pow (/ (sinh y) y) 3))

simplify2.2s

Counts

144 → 144

Iterations

Useful iterations: 2 (628.0ms)

Iter	Nodes	Cost
0	188	1681
1	586	1335
2	3243	1207
done	5000	1207

prune419.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))
0.6b	(cbrt (* (sin x) (/ (sinh y) y)))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
7×	`cbrt-prod` `cbrt-div`
6×	`add-exp-log`
4×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

32.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
10.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
11.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
11.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

395.0ms	(* (cbrt (* (sin x) (/ (sinh y) y))) (cbrt (* (sin x) (/ (sinh y) y))))
267.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
281.0ms	(cbrt (* (sin x) (/ (sinh y) y)))
256.0ms	(cbrt (* (sin x) (/ (sinh y) y)))

simplify718.0ms

Counts

84 → 84

Iterations

Useful iterations: done (715.0ms)

Iter	Nodes	Cost
0	130	1330
1	347	1206
2	1328	1061
done	5001	974

prune338.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes128.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	11	20
done	11	20

end0.0ms

sample4.6s

Algorithm

intervals

Results

1.6s	2911×	body	1280	valid
1.2s	2443×	body	640	valid
791.0ms	8455×	body	80	valid
293.0ms	1207×	body	320	valid
158.0ms	616×	body	160	valid