Details

sample73.0ms

Algorithm

intervals

Results

27.0ms	97×	body	1280	valid
14.0ms	79×	body	640	valid
11.0ms	272×	body	80	valid
6.0ms	48×	body	320	valid
2.0ms	19×	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: 0.3b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:

4.0ms	(/ (sinh y) y)
1.0ms	(sinh y)
7.0ms	(* (sin x) (/ (sinh y) y))

series254.0ms

Counts

3 → 9

Calls

3 calls:

87.0ms	(/ (sinh y) y)
59.0ms	(sinh y)
108.0ms	(* (sin x) (/ (sinh y) y))

simplify44.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	333	428
1	1323	384
2	5001	382

prune165.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

103×	`cbrt-prod`
81×	`add-sqr-sqrt`
69×	`times-frac`
57×	`add-cube-cbrt` `*-un-lft-identity`
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-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 144

Calls

4 calls:

11.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))

series896.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
215.0ms	(cbrt (/ (sinh y) y))
221.0ms	(cbrt (/ (sinh y) y))
212.0ms	(cbrt (/ (sinh y) y))

simplify50.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	345	1453
1	1112	1402
2	5001	1321

prune484.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `div-inv` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

3.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))

series873.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (/ (sinh y) y))
218.0ms	(cbrt (/ (sinh y) y))
222.0ms	(cbrt (/ (sinh y) y))
216.0ms	(cbrt (/ (sinh y) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	163	768
1	373	740
2	1341	708
3	5001	676

prune393.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
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))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

7.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
10.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
5.0ms	(* 1/120 (pow y 4))
5.0ms	(* 1/6 (pow y 2))

series226.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
117.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
40.0ms	(* 1/120 (pow y 4))
24.0ms	(* 1/6 (pow y 2))

simplify59.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	408	619
1	1874	548
2	5002	548

prune245.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.2b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.3s

Algorithm

intervals

Results

858.0ms	3005×	body	1280	valid
479.0ms	2553×	body	640	valid
363.0ms	8579×	body	80	valid
156.0ms	1259×	body	320	valid
62.0ms	665×	body	160	valid