Details

sample48.0ms

Algorithm

intervals

Results

17.0ms	265×	body	80	nan
15.0ms	256×	body	80	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize13.0ms

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)

rewrite31.0ms

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)
11.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
4.0ms	(/ (* 2.0 PI) 3.0)

series146.0ms

Counts

4 → 10

Calls

4 calls:

11.0ms	(/ (acos (/ (- g) h)) 3.0)
98.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
36.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify108.0ms

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

prune296.0ms

Filtered

101 candidates to 83 candidates (82.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

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)))

rewrite38.0ms

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:

5.0ms	(/ (* 2.0 PI) 3.0)
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
10.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
11.0ms	(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)))

simplify101.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (23.0ms)

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

prune415.0ms

Filtered

93 candidates to 80 candidates (86.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (acos (/ (- g) h)) (sqrt 3.0))
1.0b	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
1.0b	(/ (* 2.0 PI) 3.0)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

4.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
52.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
54.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series368.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(/ (acos (/ (- g) h)) (sqrt 3.0))
224.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
104.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	383	1039
1	1414	945
2	5002	925

prune329.0ms

Filtered

112 candidates to 87 candidates (77.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

52.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
3.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))) 3)
49.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series664.0ms

Counts

4 → 10

Calls

4 calls:

225.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0))))
332.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))) 3)
107.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (sqrt 3.0)) (sqrt 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	355	1044
1	1351	936
2	5001	921

prune308.0ms

Filtered

94 candidates to 70 candidates (74.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes212.0ms

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

sample1.2s

Algorithm

intervals

Results

475.0ms	8000×	body	80	valid
393.0ms	7946×	body	80	nan