Details

sample103.0ms

Algorithm: halfpoints

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*l/`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-l` `clear-num` `*-commutative` `div-inv`

Counts

2 → 10

Calls

2 calls:

5.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
3.0ms	(+ (exp x) (exp (- x)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
24.0ms	(+ (exp x) (exp (- x)))

simplify78.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	130	95
1	471	92
2	2322	90
3	5001	90

prune48.0ms

Filtered

16 candidates to 14 candidates (87.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b	(* 1/12 (pow x 4))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-*l/`
2×	`*-commutative` `associate-/l/`
1×	`frac-2neg` `flip3-+` `associate-r` `associate-l` `clear-num` `flip-+` `div-inv` `sqr-pow`

Counts

2 → 9

Calls

2 calls:

7.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
3.0ms	(* 1/12 (pow x 4))

series107.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
40.0ms	(* 1/12 (pow x 4))

simplify72.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	109	71
1	464	67
2	2142	66
3	5001	66

prune39.0ms

Filtered

15 candidates to 11 candidates (73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	15	2	17

Merged error: 0b

Counts

17 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))
0.1b	(* 1/12 (pow x 4))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

3×	`associate-r` `*-commutative` `sqr-pow`
2×	`associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `flip--`

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (pow x 2) (+ (* 1/12 (pow x 4)) 2))
3.0ms	(* 1/12 (pow x 4))
3.0ms	(* 1/12 (pow x 4))
3.0ms	(* 1/12 (pow x 4))

series156.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (pow x 2) (+ (* 1/12 (pow x 4)) 2))
39.0ms	(* 1/12 (pow x 4))
37.0ms	(* 1/12 (pow x 4))
39.0ms	(* 1/12 (pow x 4))

simplify50.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	86
1	353	86
2	1271	86
3	5001	86

prune46.0ms

Filtered

24 candidates to 11 candidates (45.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	24	2	26

Merged error: 0b

Counts

26 → 2

regimes29.0ms

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	12	7
1	12	7

end0.0ms

sample2.2s

Algorithm: halfpoints