Details

sample73.0ms

Algorithm

intervals

Results

26.0ms	91×	body	1280	valid
15.0ms	87×	body	640	valid
10.0ms	273×	body	80	valid
5.0ms	35×	body	320	valid
1.0ms	16×	body	160	valid

simplify9.5s

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	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

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:

7.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
20.0ms	(* (sin x) (/ (sinh y) y))

series253.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (sinh y) y)
62.0ms	(sinh y)
106.0ms	(* (sin x) (/ (sinh y) y))

simplify1.9s

Counts

83 → 83

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1076	650
3	3673	649
done	5000	636

prune188.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sinh y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`sinh-def` `cbrt-div`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt (sinh y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series692.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(cbrt (sinh y))
177.0ms	(cbrt y)
174.0ms	(cbrt y)
178.0ms	(cbrt y)

simplify1.6s

Counts

65 → 65

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	66	335
1	116	315
2	223	291
3	432	278
4	1014	278
5	2993	278
done	5001	278

prune205.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0b	(fma 1/120 (pow y 4) 1)
0.0b	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`fma-udef`
3×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

0.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
0.0ms	(fma 1/120 (pow y 4) 1)
10.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

series260.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1))
87.0ms	(fma 1/120 (pow y 4) 1)
125.0ms	(* (sin x) (fma 1/6 (pow y 2) (fma 1/120 (pow y 4) 1)))

simplify1.5s

Counts

51 → 51

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	74	764
1	152	747
2	534	648
3	2303	646
done	5000	645

prune148.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt y) (cbrt y))
0.7b	(cbrt y)
0.7b	(cbrt y)
0.7b	(cbrt y)

rewrite18.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

13.0ms	(* (cbrt y) (cbrt y))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series940.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(* (cbrt y) (cbrt y))
178.0ms	(cbrt y)
178.0ms	(cbrt y)
375.0ms	(cbrt y)

simplify3.4s

Counts

93 → 93

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	65	554
1	119	443
2	327	423
3	1104	405
4	4523	400
done	5001	390

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	14	23
done	14	23

end0.0ms

sample2.2s

Algorithm

intervals

Results

838.0ms	3016×	body	1280	valid
418.0ms	2433×	body	640	valid
354.0ms	8590×	body	80	valid
146.0ms	1212×	body	320	valid
49.0ms	584×	body	160	valid