Details

sample74.0ms

Algorithm

intervals

Results

26.0ms	96×	body	1280	valid
13.0ms	79×	body	640	valid
11.0ms	287×	body	80	valid
4.0ms	34×	body	320	valid
2.0ms	25×	body	160	valid

simplify76.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 60

Calls

2 calls:

8.0ms	(/ (sinh y) y)
33.0ms	(* (sin x) (/ (sinh y) y))

series181.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(/ (sinh y) y)
97.0ms	(* (sin x) (/ (sinh y) y))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	305	390
1	1248	347
2	5001	337

prune146.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
41×	`sqrt-prod`
39×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`rem-sqrt-square` `div-inv` `add-log-exp`
3×	`sqrt-div` `associate-l` `associate-/r` `associate-/l` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2`
1×	`cbrt-undiv` `sinh-def` `frac-2neg` `associate-r/` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ (sinh y) y)
21.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
4.0ms	(sqrt (/ (sinh y) y))
4.0ms	(sqrt (/ (sinh y) y))

series419.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(/ (sinh y) y)
177.0ms	(* (sin x) (sqrt (/ (sinh y) y)))
79.0ms	(sqrt (/ (sinh y) y))
79.0ms	(sqrt (/ (sinh y) y))

simplify93.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	860	1202
1	3805	1080
2	5002	1072

prune435.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sin x) (* (fabs (cbrt (/ (sinh y) y))) (sqrt (cbrt (/ (sinh y) y)))))
0.2b	(sqrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))
0.2b	(cbrt (/ (sinh y) y))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
28×	`times-frac`
26×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
13×	`sqrt-prod`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-div` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
2×	`rem-sqrt-square` `pow1/3` `sqrt-div` `associate-*r/`
1×	`sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 88

Calls

4 calls:

32.0ms	(* (sin x) (* (fabs (cbrt (/ (sinh y) y))) (sqrt (cbrt (/ (sinh y) y)))))
4.0ms	(sqrt (/ (sinh y) y))
2.0ms	(cbrt (/ (sinh y) y))
3.0ms	(cbrt (/ (sinh y) y))

series705.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(* (sin x) (* (fabs (cbrt (/ (sinh y) y))) (sqrt (cbrt (/ (sinh y) y)))))
80.0ms	(sqrt (/ (sinh y) y))
204.0ms	(cbrt (/ (sinh y) y))
208.0ms	(cbrt (/ (sinh y) y))

simplify55.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	635	1014
1	2154	915
2	5001	899

prune431.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

localize17.0ms

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))

rewrite135.0ms

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:

24.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
83.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
12.0ms	(* 1/120 (pow y 4))
13.0ms	(* 1/6 (pow y 2))

series216.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1))
118.0ms	(* (sin x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
35.0ms	(* 1/120 (pow y 4))
24.0ms	(* 1/6 (pow y 2))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (12.0ms)

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

prune253.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes78.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

end0.0ms

sample2.2s

Algorithm

intervals

Results

830.0ms	2969×	body	1280	valid
433.0ms	2541×	body	640	valid
335.0ms	8617×	body	80	valid
144.0ms	1210×	body	320	valid
56.0ms	638×	body	160	valid