Details

sample93.0ms

Algorithm: halfpoints

simplify60.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite71.0ms

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:

57.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
12.0ms	(+ (exp x) (exp (- x)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
24.0ms	(+ (exp x) (exp (- x)))

simplify163.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (25.0ms)

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

prune135.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

12.0ms	(+ (exp x) (exp (- x)))
77.0ms	(* (+ (exp x) (exp (- x))) (* (/ 1 2.0) (cos y)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ (exp x) (exp (- x)))
62.0ms	(* (+ (exp x) (exp (- x))) (* (/ 1 2.0) (cos y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	304	441
1	1379	358
2	5001	354

prune119.0ms

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	(+ (exp x) (exp (- x)))
0.0b	(+ (exp x) (exp (- x)))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
0.0b	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity`
32×	`sqrt-prod`
26×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
8×	`distribute-lft-out` `add-log-exp`
6×	`pow1`
4×	`add-exp-log` `rem-sqrt-square` `add-cbrt-cube`
2×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `sqrt-div` `sum-log` `flip-+` `div-inv`

Counts

4 → 80

Calls

4 calls:

12.0ms	(+ (exp x) (exp (- x)))
12.0ms	(+ (exp x) (exp (- x)))
24.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
21.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

series253.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (exp x) (exp (- x)))
24.0ms	(+ (exp x) (exp (- x)))
107.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
100.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))

simplify143.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	223	842
1	680	776
2	3517	754
3	5001	746

prune312.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.0b	(exp (/ (cos y) 2.0))
0.5b	(log (pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x))))
0.8b	(pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

26×	`exp-prod` `*-un-lft-identity`
22×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`times-frac`
14×	`pow-pow`
8×	`log-prod`
7×	`add-log-exp`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow-unpow` `add-cbrt-cube`
3×	`rem-log-exp`
2×	`unpow-prod-up` `pow-to-exp` `pow-exp` `div-inv` `distribute-lft-out` `sqr-pow`
1×	`+-commutative` `flip3-+` `sum-log` `log-pow` `flip-+` `rem-exp-log`

Counts

4 → 84

Calls

4 calls:

12.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(exp (/ (cos y) 2.0))
13.0ms	(log (pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x))))
20.0ms	(pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x)))

series313.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (* -1 x)) (exp x))
60.0ms	(exp (/ (cos y) 2.0))
114.0ms	(log (pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x))))
117.0ms	(pow (exp (/ (cos y) 2.0)) (+ (exp (* -1 x)) (exp x)))

simplify44.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	446	814
1	1784	747
2	5002	732

prune302.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

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	17	8
1	17	8

end0.0ms

sample1.9s

Algorithm: halfpoints