Details

sample75.0ms

Algorithm

intervals

Results

32.0ms	111×	body	1280	valid
13.0ms	76×	body	640	valid
9.0ms	249×	body	80	valid
5.0ms	42×	body	320	valid
3.0ms	23×	body	160	valid

simplify78.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

1.0ms	(sinh y)
8.0ms	(* (cos x) (/ (sinh y) y))

series157.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(sinh y)
94.0ms	(* (cos x) (/ (sinh y) y))

simplify38.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	272	274
1	1126	241
2	5001	223

prune113.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(sinh y)
0.0b	(* (cos x) (sqrt (/ (sinh y) y)))
0.0b	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-r`
28×	`add-sqr-sqrt` `sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
11×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`sinh-def` `*-commutative` `div-inv`
1×	`frac-times` `associate-*l/`

Counts

4 → 84

Calls

4 calls:

0.0ms	(sinh y)
1.0ms	(sinh y)
10.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
22.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series403.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sinh y)
63.0ms	(sinh y)
174.0ms	(* (cos x) (sqrt (/ (sinh y) y)))
109.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify115.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	877	1027
1	4317	894
2	5001	886

prune314.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

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` `div-exp` `associate-*l/` `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:

1.0ms	(sinh y)
4.0ms	(* (sinh y) (cos x))
4.0ms	(/ (* (sinh y) (cos x)) y)

series206.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(sinh y)
72.0ms	(* (sinh y) (cos x))
75.0ms	(/ (* (sinh y) (cos x)) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	267	317
1	1060	271
2	5001	245

prune126.0ms

Pruning

3 alts after pruning (1 fresh and 2 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))
0.0b	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
0.0b	(* 1/120 (pow y 5))
0.1b	(* 1/6 (pow y 3))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
43.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
5.0ms	(* 1/120 (pow y 5))
7.0ms	(* 1/6 (pow y 3))

series341.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y))
198.0ms	(* (cos x) (/ (+ (* 1/6 (pow y 3)) (+ (* 1/120 (pow y 5)) y)) y))
52.0ms	(* 1/120 (pow y 5))
36.0ms	(* 1/6 (pow y 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	494	788
1	2584	701
2	5002	701

prune311.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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	10	9
1	10	9

end0.0ms

sample2.1s

Algorithm

intervals

Results

859.0ms	3057×	body	1280	valid
392.0ms	2362×	body	640	valid
320.0ms	8562×	body	80	valid
143.0ms	1177×	body	320	valid
54.0ms	620×	body	160	valid