Details

sample108.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

6.0ms	(+ (exp x) (exp (- x)))
27.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series85.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
62.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify160.0ms

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

prune138.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
48×	`sqrt-prod`
38×	`times-frac`
35×	`add-sqr-sqrt`
29×	`add-cube-cbrt`
19×	`associate-l`
11×	`pow1`
10×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-div` `add-log-exp`
4×	`rem-sqrt-square`
3×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv`
2×	`sqrt-pow1` `pow1/2`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-r` `sum-log` `-commutative` `flip-+`

Counts

4 → 105

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
11.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
57.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

series341.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
98.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
103.0ms	(sqrt (/ (+ (exp x) (exp (- x))) 2.0))
118.0ms	(* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (* (sqrt (/ (+ (exp x) (exp (- x))) 2.0)) (cos y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	389	1328
1	1335	1167
2	5002	1146

prune364.0ms

Pruning

2 alts after pruning (1 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	(sqrt (cos y))
0.0b	(sqrt (cos y))
0.1b	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`sqrt-prod`
8×	`add-cube-cbrt`
6×	`associate-r` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
3×	`pow-prod-down`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `associate-l` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 62

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
1.0ms	(sqrt (cos y))
1.0ms	(sqrt (cos y))
40.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))

series112.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
14.0ms	(sqrt (cos y))
19.0ms	(sqrt (cos y))
56.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (sqrt (cos y))) (sqrt (cos y)))

simplify37.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	301	538
1	1295	436
2	5001	431

prune192.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	15
1	15	15

end0.0ms

sample2.4s

Algorithm: halfpoints