Details

sample119.0ms

Algorithm

intervals

Results

35.0ms	98×	body	1280	valid
34.0ms	301×	body	80	valid
22.0ms	89×	body	640	valid
5.0ms	28×	body	320	valid
2.0ms	13×	body	160	valid

simplify2.3s

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	262	7
6	805	7
7	4114	7
done	5000	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite47.0ms

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×	`associate-l` `associate-/r` `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 → 68

Calls

3 calls:

10.0ms	(/ (sinh y) y)
32.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(sinh y)

series352.0ms

Counts

3 → 9

Calls

3 calls:

118.0ms	(/ (sinh y) y)
147.0ms	(* (sin x) (/ (sinh y) y))
86.0ms	(sinh y)

simplify1.0s

Counts

77 → 77

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	140	732
1	349	693
2	1714	631
done	5001	627

prune254.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
0.1b	(* 1/120 (pow y 4))
0.2b	(* 1/6 (pow y 2))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`associate-r`
15×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`associate-l` `add-cbrt-cube`
8×	`unpow-prod-down` `unswap-sqr`
7×	`prod-exp`
5×	`pow1`
4×	`sqr-pow`
3×	`*-commutative` `cbrt-unprod` `add-log-exp`
2×	`pow-to-exp` `associate-*r/` `pow-exp` `unpow2`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `pow-prod-down` `flip-+`

Counts

3 → 74

Calls

3 calls:

98.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
20.0ms	(* 1/120 (pow y 4))
16.0ms	(* 1/6 (pow y 2))

series231.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
40.0ms	(* 1/120 (pow y 4))
26.0ms	(* 1/6 (pow y 2))

simplify1.4s

Counts

83 → 83

Iterations

Useful iterations: 2 (424.0ms)

Iter	Nodes	Cost
0	149	987
1	404	918
2	2133	812
done	5000	812

prune297.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(sinh y)
0.1b	(* (sin x) (sinh y))
15.5b	(/ (* (sin x) (sinh y)) y)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
3×	`sinh-def` `times-frac` `associate-r` `associate-l` `associate-/r*` `add-log-exp`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l/` `associate-/l` `unswap-sqr`

Counts

3 → 49

Calls

3 calls:

2.0ms	(sinh y)
18.0ms	(* (sin x) (sinh y))
20.0ms	(/ (* (sin x) (sinh y)) y)

series344.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(sinh y)
119.0ms	(* (sin x) (sinh y))
140.0ms	(/ (* (sin x) (sinh y)) y)

simplify823.0ms

Counts

58 → 58

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	117	538
1	292	516
2	1593	452
done	5000	452

prune188.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	16
1	22	16
done	22	16

end0.0ms

sample4.8s

Algorithm

intervals

Results

1.6s	2860×	body	1280	valid
1.1s	8295×	body	80	valid
1.1s	2574×	body	640	valid
293.0ms	1232×	body	320	valid
133.0ms	625×	body	160	valid