Details

sample95.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
18.0b	(- (exp x) (exp (- x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
35×	`associate-l`
29×	`times-frac`
23×	`add-cube-cbrt`
14×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `add-log-exp`
6×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `diff-log` `sum-log` `flip--` `flip-+`

Counts

4 → 99

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
29.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
6.0ms	(- (exp x) (exp (- x)))

series196.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp x) (exp (- x)))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
79.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
35.0ms	(- (exp x) (exp (- x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	508	967
1	1773	853
2	5001	852

prune388.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
18.0b	(- (exp x) (exp (- x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 47

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
6.0ms	(- (exp x) (exp (- x)))

series35.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
35.0ms	(- (exp x) (exp (- x)))

simplify591.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	124	243
1	286	222
2	822	212
3	4879	210
4	5002	210

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
18.0b	(- (exp x) (exp (- x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
12×	`cbrt-prod`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `flip-+` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 56

Calls

4 calls:

5.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(cbrt (+ (exp x) (exp (- x))))
123.0ms	(cbrt (+ (exp x) (exp (- x))))
133.0ms	(cbrt (+ (exp x) (exp (- x))))
34.0ms	(- (exp x) (exp (- x)))

simplify75.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	172	600
1	516	555
2	2081	533
3	5001	533

prune448.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.0b	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
0.1b	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
18.0b	(- (exp x) (exp (- x)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

58×	`pow1`
33×	`add-sqr-sqrt`
30×	`sqrt-pow1`
26×	`*-un-lft-identity`
23×	`associate-l`
22×	`pow-prod-down`
18×	`add-cube-cbrt`
16×	`times-frac`
11×	`add-exp-log` `pow1/2` `add-cbrt-cube`
10×	`pow-prod-up`
7×	`associate-r` `associate-*l/`
6×	`pow-sqr` `add-log-exp`
5×	`sqrt-div` `sqrt-prod`
4×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
3×	`prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `pow2` `frac-times` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `associate-*r/` `div-exp` `rem-square-sqrt` `flip--` `div-inv`

Counts

4 → 116

Calls

4 calls:

7.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
27.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
57.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
6.0ms	(- (exp x) (exp (- x)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
75.0ms	(* (/ (- (exp x) (exp (- x))) 2.0) (sin y))
116.0ms	(* (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))) (sqrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
38.0ms	(- (exp x) (exp (- x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	472	1202
1	1942	1031
2	5002	976

prune384.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes91.0ms

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	19	16
1	19	16

end0.0ms

sample2.4s

Algorithm: halfpoints