Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
11.0ms	236×	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

localize13.0ms

Local error

Found 4 expressions with local error:

0.9b	(/ (acos (/ (- g) h)) 3.0)
1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (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)

rewrite48.0ms

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)
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
26.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
4.0ms	(/ (* 2.0 PI) 3.0)

series155.0ms

Counts

4 → 10

Calls

4 calls:

17.0ms	(/ (acos (/ (- g) h)) 3.0)
31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
106.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify110.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (28.0ms)

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

prune290.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite56.0ms

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)
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ PI 3.0))
22.0ms	(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)))

simplify102.0ms

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

prune425.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
1.0b	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (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)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

13.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
26.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series309.0ms

Counts

4 → 10

Calls

4 calls:

31.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
173.0ms	(log1p (expm1 (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))))
104.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify90.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	284	614
1	912	554
2	3750	549
3	5001	549

prune253.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

2.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
2.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
22.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series364.0ms

Counts

4 → 10

Calls

4 calls:

102.0ms	(cbrt (pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3))
159.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
102.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify39.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	276	957
1	1001	891
2	5001	883

prune221.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes358.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

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

456.0ms	8000×	body	80	valid
374.0ms	7868×	body	80	nan