Details

sample101.0ms

Algorithm

intervals

Results

37.0ms	101×	body	1280	valid
22.0ms	84×	body	640	valid
16.0ms	242×	body	80	valid
6.0ms	33×	body	320	valid
3.0ms	28×	body	160	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	137	4
4	262	4
5	492	4
6	1390	4
7	4856	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

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:

8.0ms	(* (sin x) (/ (sinh y) y))
2.0ms	(/ (sinh y) y)
1.0ms	(sinh y)

series251.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* (sin x) (/ (sinh y) y))
89.0ms	(/ (sinh y) y)
62.0ms	(sinh y)

simplify42.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5002	382

prune172.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

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))

rewrite51.0ms

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:

38.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms	(* 1/120 (pow y 4))
6.0ms	(* 1/6 (pow y 2))

series182.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
36.0ms	(* 1/120 (pow y 4))
29.0ms	(* 1/6 (pow y 2))

simplify52.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	372	470
1	1735	414
2	5002	414

prune196.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 1/6 (pow y 2))
0.2b	(* 1/6 (pow y 2))
0.2b	(* 1/6 (pow y 2))
0.2b	(* 1/6 (pow y 2))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
32×	`associate-r`
24×	`add-exp-log`
16×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
12×	`associate-l` `prod-exp` `add-cbrt-cube`
8×	`unpow2` `sqr-pow`
4×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

4 → 108

Calls

4 calls:

6.0ms	(* 1/6 (pow y 2))
6.0ms	(* 1/6 (pow y 2))
6.0ms	(* 1/6 (pow y 2))
6.0ms	(* 1/6 (pow y 2))

series104.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 1/6 (pow y 2))
26.0ms	(* 1/6 (pow y 2))
29.0ms	(* 1/6 (pow y 2))
25.0ms	(* 1/6 (pow y 2))

simplify77.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	107	396
1	404	348
2	1867	348
3	5002	344

prune414.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	31
1	33	31

end0.0ms

sample2.2s

Algorithm

intervals

Results

851.0ms	2956×	body	1280	valid
469.0ms	2604×	body	640	valid
362.0ms	8522×	body	80	valid
157.0ms	1248×	body	320	valid
60.0ms	612×	body	160	valid