Details

sample113.0ms

Algorithm: halfpoints

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

58.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
28.0ms	(+ (exp x) (exp (- x)))

simplify162.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402

prune136.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ (+ (exp (* -1 x)) (exp x)) 2.0) (cos y))
0.0b	(+ (exp (* -1 x)) (exp x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `associate-l`
13×	`times-frac`
11×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `distribute-lft-out` `add-log-exp`
3×	`associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 47

Calls

2 calls:

9.0ms	(* (/ (+ (exp (* -1 x)) (exp x)) 2.0) (cos y))
4.0ms	(+ (exp (* -1 x)) (exp x))

series79.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(* (/ (+ (exp (* -1 x)) (exp x)) 2.0) (cos y))
25.0ms	(+ (exp (* -1 x)) (exp x))

simplify113.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	267	462
1	902	406
2	3845	400
3	5002	400

prune131.0ms

Filtered

53 candidates to 37 candidates (69.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(+ (exp x) (exp (- x)))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.3b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
5.0ms	(+ (exp x) (exp (- x)))
2.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
10.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series224.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
22.0ms	(+ (exp x) (exp (- x)))
60.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
82.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify51.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	383	858
1	1701	826
2	5002	823

prune280.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	102	3	105

Merged error: 0b

Counts

105 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
15×	`add-cube-cbrt`
13×	`add-exp-log` `times-frac`
10×	`associate-r` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`sum-log` `cbrt-unprod`
2×	`*-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

3 → 74

Calls

3 calls:

17.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
8.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
5.0ms	(* 1/12 (pow x 4))

series141.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
41.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
36.0ms	(* 1/12 (pow x 4))

simplify43.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	365	633
1	1558	562
2	5002	559

prune195.0ms

Filtered

83 candidates to 55 candidates (66.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	83	3	86

Merged error: 0b

Counts

86 → 3

regimes36.0ms

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	15	7
1	15	7

end0.0ms

sample1.8s

Algorithm: halfpoints