Details

sample110.0ms

Algorithm: halfpoints

simplify59.0ms

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)

Merged error: 0.0b

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)))

rewrite38.0ms

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:

26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
10.0ms	(+ (exp x) (exp (- x)))

series87.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
23.0ms	(+ (exp x) (exp (- x)))

simplify164.0ms

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

prune140.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

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))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`associate-l`
14×	`add-cube-cbrt`
13×	`times-frac`
12×	`add-exp-log`
10×	`associate-r`
9×	`add-cbrt-cube`
5×	`prod-exp` `unswap-sqr`
4×	`pow1` `unpow-prod-down`
3×	`cbrt-unprod` `distribute-lft-out`
2×	`*-commutative` `add-log-exp` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `div-inv`

Counts

2 → 60

Calls

2 calls:

52.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
6.0ms	(* 1/12 (pow x 4))

series107.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
36.0ms	(* 1/12 (pow x 4))

simplify40.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	301	504
1	1243	444
2	5001	440

prune165.0ms

Filtered

66 candidates to 44 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))
0.2b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
0.7b	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

50×	`associate-l`
49×	`*-un-lft-identity`
44×	`times-frac`
41×	`add-sqr-sqrt`
39×	`add-exp-log`
33×	`add-cube-cbrt`
30×	`add-cbrt-cube`
25×	`sqrt-prod`
17×	`prod-exp`
12×	`cbrt-unprod`
11×	`pow1`
10×	`div-exp`
8×	`distribute-lft-out` `add-log-exp`
6×	`cbrt-undiv`
4×	`associate-r` `pow-prod-down` `associate-*l/`
3×	`1-exp` `unswap-sqr`
2×	`+-commutative` `flip3-+` `sum-log` `*-commutative` `flip-+` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 123

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
5.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
57.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (exp x) (exp (- x)))
22.0ms	(+ (exp x) (exp (- x)))
91.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y))
63.0ms	(* (/ (sqrt (+ (exp x) (exp (- x)))) 1) (* (/ (sqrt (+ (exp x) (exp (- x)))) 2.0) (cos y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	562	1692
1	2592	1266
2	5002	1219

prune334.0ms

Filtered

135 candidates to 88 candidates (65.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample2.5s

Algorithm: halfpoints