Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
15.0ms	303×	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	(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)

rewrite44.0ms

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)
24.0ms	(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)

series143.0ms

Counts

4 → 10

Calls

4 calls:

10.0ms	(/ (acos (/ (- g) h)) 3.0)
100.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0)))
32.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify113.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (26.0ms)

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

prune300.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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)))

rewrite52.0ms

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))
14.0ms	(+ (/ (* 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)))

simplify103.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (24.0ms)

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

prune431.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

5.0ms	(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
50.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))
26.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
3.0ms	(/ (* 2.0 PI) 3.0)

series349.0ms

Counts

4 → 10

Calls

4 calls:

88.0ms	(/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0)))
166.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))
95.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (/ (acos (/ (- g) h)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	378	955
1	1341	836
2	5001	801

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

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

series300.0ms

Counts

4 → 10

Calls

4 calls:

108.0ms	(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))
160.0ms	(pow (cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (- g) h)) 3.0))) 3)
0.0ms	(/ (* 2.0 PI) 3.0)

simplify44.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	327	976
1	1270	899
2	5002	889

prune280.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes309.0ms

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

508.0ms	8000×	body	80	valid
404.0ms	7924×	body	80	nan