Details

analyze165.0ms

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	18×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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	(cos (+ (/ (* 2.0 PI) 3.0) (/ (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)

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

series25.0ms

Counts

4 → 10

Calls

4 calls:

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

prune134.0ms

Filtered

67 candidates to 86 candidates (-28.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	4	87

Merged error: 0.0b

Counts

87 → 4

localize26.0ms

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)))

simplify55.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5011	1052

prune275.0ms

Filtered

85 candidates to 112 candidates (-31.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	111	5	116

Merged error: 0.0b

Counts

116 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

9.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ (acos (/ g h)) 3.0))
11.0ms	(cos (- (* (+ 2.0 1) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
3.0ms	(/ PI 3.0)
9.0ms	(* (+ 2.0 1) (/ PI 3.0))

series20.0ms

Counts

4 → 8

Calls

4 calls:

5.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ (acos (/ g h)) 3.0))
14.0ms	(cos (- (* (+ 2.0 1) (/ PI 3.0)) (/ (acos (/ g h)) 3.0)))
0.0ms	(/ PI 3.0)
0.0ms	(* (+ 2.0 1) (/ PI 3.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5036	1220

prune152.0ms

Filtered

77 candidates to 100 candidates (-29.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (+ 2.0 1) (/ PI 3.0))
1.0b	(* (+ 2.0 1) (/ PI 3.0))
1.0b	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))
1.0b	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
26×	`associate-r`
24×	`*-un-lft-identity`
20×	`add-cube-cbrt` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
10×	`frac-sub`
8×	`pow1` `frac-times` `flip3-+` `associate-l` `associate-*l/` `flip-+` `add-log-exp`
4×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-undiv` `sub-neg` `flip3--` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `flip--` `div-inv` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

9.0ms	(* (+ 2.0 1) (/ PI 3.0))
9.0ms	(* (+ 2.0 1) (/ PI 3.0))
8.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))
10.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(* (+ 2.0 1) (/ PI 3.0))
0.0ms	(* (+ 2.0 1) (/ PI 3.0))
0.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))
0.0ms	(- (* (+ 2.0 1) (/ PI 3.0)) (/ PI (* 3.0 2)))

simplify38.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4998	1536
1	4998	1536

prune313.0ms

Filtered

86 candidates to 110 candidates (-27.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	5	115

Merged error: 0b

Counts

115 → 5

regimes98.0ms

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	27	35
1	27	35

end0.0ms

analyze157.0ms

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

sample784.0ms

Algorithm

intervals

Results

588.0ms	8000×	body	80	valid
37.0ms	532×	body	80	nan

Details

analyze165.0ms

sample29.0ms

simplify3.0ms

prune7.0ms

localize13.0ms

rewrite33.0ms

series25.0ms

simplify50.0ms

prune134.0ms

localize26.0ms

rewrite26.0ms

series0.0ms

simplify55.0ms

prune275.0ms

localize13.0ms

rewrite35.0ms

series20.0ms

simplify37.0ms

prune152.0ms

localize24.0ms

rewrite39.0ms

series0.0ms

simplify38.0ms

prune313.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze157.0ms

sample784.0ms

Profiling