Details

sample73.0ms

Algorithm

intervals

Results

29.0ms	106×	body	1280	valid
14.0ms	83×	body	640	valid
11.0ms	269×	body	80	valid
4.0ms	30×	body	320	valid
2.0ms	19×	body	160	valid

simplify73.0ms

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(sinh y)
0.0b	(/ (sinh y) 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	(* (cos x) (/ (sinh y) y))
0.0ms	(sinh y)
3.0ms	(/ (sinh y) y)

series234.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(* (cos x) (/ (sinh y) y))
60.0ms	(sinh y)
87.0ms	(/ (sinh y) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	324	427
1	1285	383
2	5001	381

prune174.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
0.0b	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.1b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`associate-r`
27×	`add-cube-cbrt` `*-un-lft-identity`
21×	`add-exp-log`
19×	`times-frac`
15×	`add-cbrt-cube`
9×	`associate-l` `unswap-sqr`
8×	`unpow-prod-down` `prod-exp`
6×	`pow1`
4×	`cube-prod` `cbrt-unprod` `add-log-exp` `sqr-pow`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-exp` `div-inv` `associate-/l/`
1×	`cube-mult` `frac-2neg` `flip3-+` `unpow3` `associate-*r/` `pow-prod-down` `clear-num` `flip-+`

Counts

4 → 117

Calls

4 calls:

33.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
41.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
6.0ms	(* 1/120 (pow y 5))
7.0ms	(* 1/6 (pow y 3))

series359.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y)
197.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
49.0ms	(* 1/120 (pow y 5))
36.0ms	(* 1/6 (pow y 3))

simplify73.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	494	1016
1	2542	910
2	5001	910

prune325.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos 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))

rewrite56.0ms

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	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
6.0ms	(* 1/120 (pow y 4))
10.0ms	(* 1/6 (pow y 2))

series179.0ms

Counts

3 → 9

Calls

3 calls:

119.0ms	(* (cos x) (+ (* 1/6 (pow y 2)) (+ (* 1/120 (pow y 4)) 1)))
35.0ms	(* 1/120 (pow y 4))
25.0ms	(* 1/6 (pow y 2))

simplify51.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	360	463
1	1702	413
2	5002	413

prune191.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes86.0ms

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

sample2.1s

Algorithm

intervals

Results

797.0ms	2928×	body	1280	valid
424.0ms	2552×	body	640	valid
329.0ms	8537×	body	80	valid
140.0ms	1213×	body	320	valid
51.0ms	620×	body	160	valid