Details

analyze174.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

sample29.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
1.0ms	15×	body	80	nan

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
11×	`add-exp-log` `add-cbrt-cube`
6×	`div-sub` `associate-/r*` `add-log-exp`
4×	`pow1` `associate-+r-` `div-inv` `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 → 76

Calls

4 calls:

15.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
3.0ms	(/ (acos (/ (neg g) h)) 3.0)
11.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
5.0ms	(/ (* 2.0 PI) 3.0)

series24.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
3.0ms	(/ (acos (/ (neg g) h)) 3.0)
6.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5326	1073

prune143.0ms

Filtered

68 candidates to 86 candidates (-26.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
1.0b	(/ PI 3.0)
1.0b	(/ PI 3.0)
62.9b	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1`
3×	`div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `flip3-+` `sin-sum` `associate-*r/` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms	(/ PI 3.0)
3.0ms	(/ PI 3.0)
9.0ms	(sin (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5249	715

prune209.0ms

Filtered

65 candidates to 79 candidates (-21.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `add-log-exp`
3×	`cos-sum` `associate-l` `associate-/r` `div-inv` `associate-/l`
2×	`cbrt-undiv` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `acos-asin` `cos-diff` `sub-neg` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `frac-add` `associate--l+` `clear-num` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `associate--r-`

Counts

4 → 83

Calls

4 calls:

15.0ms	(cos (- (+ (* PI (/ 2.0 3.0)) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
7.0ms	(* PI (/ 2.0 3.0))
7.0ms	(+ (* PI (/ 2.0 3.0)) (/ PI 3.0))
3.0ms	(/ PI 3.0)

series17.0ms

Counts

4 → 6

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5384	881

prune144.0ms

Filtered

71 candidates to 89 candidates (-25.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0.0b

Counts

92 → 3

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3))
1.0b	(pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3)
1.0b	(/ PI 3.0)
1.0b	(* (/ PI 3.0) (+ 1 2.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`add-cube-cbrt`
19×	`times-frac`
13×	`associate-l`
12×	`add-exp-log` `cbrt-prod` `add-cbrt-cube`
7×	`pow1`
6×	`unpow-prod-down` `cube-prod`
4×	`associate-r` `add-log-exp`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-mult` `frac-times` `flip3-+` `unpow3` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `pow-pow` `frac-2neg` `distribute-lft-in` `pow1/3` `pow-prod-down` `associate-l/` `pow-exp` `clear-num` `-commutative` `rem-cbrt-cube` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 110

Calls

4 calls:

4.0ms	(cbrt (pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3))
5.0ms	(pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3)
3.0ms	(/ PI 3.0)
11.0ms	(* (/ PI 3.0) (+ 1 2.0))

series36.0ms

Counts

4 → 8

Calls

4 calls:

14.0ms	(cbrt (pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3))
22.0ms	(pow (cos (- (* (/ PI 3.0) (+ 1 2.0)) (/ (acos (/ g h)) 3.0))) 3)
0.0ms	(/ PI 3.0)
0.0ms	(* (/ PI 3.0) (+ 1 2.0))

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4955	1534
1	4955	1534

prune195.0ms

Filtered

82 candidates to 118 candidates (-43.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	118	3	121

Merged error: 0b

Counts

121 → 3

regimes78.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	41	37
1	41	37

end0.0ms

sample798.0ms

Algorithm

intervals

Results

604.0ms	8000×	body	80	valid
33.0ms	530×	body	80	nan

Details

analyze174.0ms

sample29.0ms

simplify4.0ms

prune7.0ms

localize14.0ms

rewrite36.0ms

series24.0ms

simplify56.0ms

prune143.0ms

localize26.0ms

rewrite24.0ms

series0.0ms

simplify57.0ms

prune209.0ms

localize15.0ms

rewrite35.0ms

series17.0ms

simplify65.0ms

prune144.0ms

localize17.0ms

rewrite27.0ms

series36.0ms

simplify53.0ms

prune195.0ms

regimes78.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample798.0ms

Profiling