Details

sample44.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	281×	body	80	nan

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	21	9
1	25	9
2	29	9
3	32	9
4	33	9
5	33	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`div-sub` `associate-/r*` `add-log-exp`
5×	`div-inv`
4×	`pow1` `expm1-log1p-u` `associate-+r-` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `acos-neg` `acos-asin` `distribute-frac-neg` `div-exp`
2×	`cos-diff` `frac-2neg` `clear-num`
1×	`+-commutative` `cos-sum` `distribute-rgt-out` `flip3-+` `frac-add` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 91

Calls

4 calls:

3.0ms	(/ (acos (/ (- g) h)) 3.0)
21.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)

series144.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
97.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
35.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify111.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	332	711
1	1087	659
2	4512	654
3	5001	654

prune289.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (* 2.0 PI) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
58.2b	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`times-frac`
14×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def`
10×	`distribute-rgt-out`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
7×	`div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*`
2×	`cbrt-undiv` `+-commutative` `distribute-lft1-in` `flip3-+` `div-exp` `frac-add` `sum-log` `flip-+` `distribute-lft-out`
1×	`frac-2neg` `sin-sum` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

4 → 89

Calls

4 calls:

3.0ms	(/ (* 2.0 PI) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
20.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ (* 2.0 PI) 3.0)
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
0.0ms	(sin (+ (/ (* 2.0 PI) 3.0) (/ PI 3.0)))

simplify108.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	245	488
1	854	447
2	3943	435
3	5001	435

prune406.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
1.0b	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
1.0b	(/ 1 (sqrt 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
82×	`times-frac`
55×	`*-un-lft-identity`
49×	`add-cube-cbrt`
41×	`sqrt-prod`
35×	`add-exp-log`
23×	`add-cbrt-cube`
22×	`associate-r` `associate-l`
15×	`unswap-sqr`
12×	`div-exp`
9×	`prod-exp` `associate-/r*`
8×	`pow1`
7×	`cbrt-undiv` `fma-def`
6×	`add-log-exp`
5×	`cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`rec-exp` `pow-flip` `1-exp` `frac-add`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`+-commutative` `sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `sum-log` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 178

Calls

4 calls:

27.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
7.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
3.0ms	(/ 1 (sqrt 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)

series185.0ms

Counts

4 → 8

Calls

4 calls:

79.0ms	(* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0)))
106.0ms	(+ (/ (* 2.0 PI) 3.0) (* (/ 1 (sqrt 3.0)) (/ (acos (/ (- g) h)) (sqrt 3.0))))
0.0ms	(/ 1 (sqrt 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify84.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	650	1618
1	3439	1424
2	5001	1314

prune403.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
1.0b	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
12×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `add-cbrt-cube`
7×	`fma-def`
6×	`times-frac` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `associate-+r-` `div-sub` `log1p-expm1-u` `div-inv`
3×	`unpow-prod-down` `cube-prod` `associate-/r*`
2×	`cbrt-undiv` `acos-neg` `acos-asin` `cos-diff` `distribute-frac-neg` `div-exp`
1×	`+-commutative` `cube-mult` `cos-sum` `distribute-rgt-out` `frac-2neg` `flip3-+` `pow1/3` `unpow3` `frac-add` `prod-exp` `clear-num` `sum-log` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out` `associate-/l*` `sqr-pow`

Counts

4 → 83

Calls

4 calls:

23.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
2.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
3.0ms	(/ (* 2.0 PI) 3.0)

series230.0ms

Counts

4 → 10

Calls

4 calls:

100.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
98.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify102.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	324	805
1	1123	779
2	4836	774
3	5001	774

prune255.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes291.0ms

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	26	22
1	26	22

end0.0ms

sample1.1s

Algorithm

intervals

Results

482.0ms	8000×	body	80	valid
378.0ms	7946×	body	80	nan