Details

analyze172.0ms

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	16×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	16
1	29	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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
12.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
10.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
5.0ms	(/ (* 2.0 PI) 3.0)

series23.0ms

Counts

4 → 10

Calls

4 calls:

3.0ms	(/ (acos (/ (neg g) h)) 3.0)
5.0ms	(+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0))
14.0ms	(cos (+ (/ (* 2.0 PI) 3.0) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(/ (* 2.0 PI) 3.0)

simplify50.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5221	1069

prune129.0ms

Filtered

67 candidates to 86 candidates (-28.4%)

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

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ PI 3.0)
1.0b	(* (+ 2.0 1) (/ PI 3.0))
1.0b	(* (+ 2.0 1) (/ PI 3.0))
58.2b	(sin (* (+ 2.0 1) (/ PI 3.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
29×	`times-frac`
28×	`add-cube-cbrt`
26×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
8×	`pow1` `associate-l`
4×	`frac-times` `flip3-+` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `div-inv` `associate-/l`
2×	`associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out`
1×	`frac-2neg` `clear-num`

Counts

4 → 108

Calls

4 calls:

3.0ms	(/ PI 3.0)
9.0ms	(* (+ 2.0 1) (/ PI 3.0))
9.0ms	(* (+ 2.0 1) (/ PI 3.0))
3.0ms	(sin (* (+ 2.0 1) (/ PI 3.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(/ PI 3.0)
0.0ms	(* (+ 2.0 1) (/ PI 3.0))
0.0ms	(* (+ 2.0 1) (/ PI 3.0))
0.0ms	(sin (* (+ 2.0 1) (/ PI 3.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5011	1052

prune261.0ms

Filtered

85 candidates to 112 candidates (-31.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

3.0ms	(cbrt (pow (cos (+ (* 2.0 (/ PI 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))
3.0ms	(pow (cos (+ (* 2.0 (/ PI 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
8.0ms	(cos (+ (* 2.0 (/ PI 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
3.0ms	(/ PI 3.0)

series51.0ms

Counts

4 → 10

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5053	1372

prune139.0ms

Filtered

61 candidates to 91 candidates (-49.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	4	94

Merged error: 0.0b

Counts

94 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity`
16×	`cbrt-prod`
13×	`associate-r` `log-pow`
12×	`exp-prod`
10×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`pow1`
6×	`unpow-prod-down` `cube-prod`
4×	`add-log-exp`
3×	`pow-unpow` `associate-l`
2×	`cos-diff` `cube-mult` `associate-+r-` `unpow3` `div-sub` `prod-exp` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `acos-neg` `acos-asin` `pow-to-exp` `cos-sum` `pow-pow` `pow1/3` `associate-r/` `distribute-frac-neg` `div-exp` `pow-prod-down` `pow-exp` `-commutative` `div-inv` `rem-cube-cbrt`

Counts

4 → 89

Calls

4 calls:

3.0ms	(cbrt (log (exp (pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))))
3.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
8.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
7.0ms	(* PI (/ 2.0 3.0))

series53.0ms

Counts

4 → 10

Calls

4 calls:

14.0ms	(cbrt (log (exp (pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3))))
22.0ms	(pow (cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0))) 3)
17.0ms	(cos (+ (* PI (/ 2.0 3.0)) (/ (acos (/ (neg g) h)) 3.0)))
0.0ms	(* PI (/ 2.0 3.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4978	1515
1	4978	1515

prune158.0ms

Filtered

61 candidates to 99 candidates (-62.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	98	5	103

Merged error: 0.0b

Counts

103 → 5

regimes294.0ms

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	25	35
1	25	35

end0.0ms

analyze167.0ms

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

sample815.0ms

Algorithm

intervals

Results

622.0ms	8000×	body	80	valid
38.0ms	590×	body	80	nan

Details

analyze172.0ms

sample29.0ms

simplify3.0ms

prune7.0ms

localize13.0ms

rewrite33.0ms

series23.0ms

simplify50.0ms

prune129.0ms

localize27.0ms

rewrite26.0ms

series0.0ms

simplify51.0ms

prune261.0ms

localize19.0ms

rewrite20.0ms

series51.0ms

simplify50.0ms

prune139.0ms

localize19.0ms

rewrite24.0ms

series53.0ms

simplify48.0ms

prune158.0ms

regimes294.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze167.0ms

sample815.0ms

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