Details

analyze185.0ms (5.6%)

Algorithm

1×

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

sample34.0ms (1%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
1.0ms	22×	body	128	nan

Compiler

Compiled 39 to 35 computations (10.3% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

7×	`sub-neg_binary64`
6×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`div-sub_binary64`
4×	`associate-/l*_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	26	23
2	40	23
3	48	23
4	52	23
5	55	23
6	66	23
7	65	23
8	54	23

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	1.0b	(.f64 2 (cos.f64 (+.f64 (.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))))

Compiler

Compiled 48 to 42 computations (12.5% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(*.f64 PI.f64 2/3)

rewrite94.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 70

Calls

4 calls:

7.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
6.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1549 to 910 computations (41.3% saved)

series65.0ms (2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

29.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
19.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
15.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 644 to 566 computations (12.1% saved)

simplify149.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

722×	`div-sub_binary64`
361×	`associate-/r/_binary64`
313×	`*-commutative_binary64`
278×	`associate-/r*_binary64`
219×	`cancel-sign-sub-inv_binary64`

Counts

88 → 75

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	150	1689
1	271	1611
2	550	1608
3	1146	1564
4	2498	1558
5	3644	1544
6	4453	1544
7	5130	1544

prune64.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	2	76

Error

0.9b

Counts

76 → 2

Alt Table

Status	Error	Program
	1.0b	(.f64 2 (cos.f64 (-.f64 (.f64 PI.f64 5/6) (/.f64 (asin.f64 (/.f64 (neg.f64 g) h)) 3))))
▶	0.9b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

Compiler

Compiled 1202 to 713 computations (40.7% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(acos.f64 (/.f64 g h))
0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
0.9b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite50.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 44

Calls

3 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 854 to 532 computations (37.7% saved)

series49.0ms (1.5%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

20.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
15.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
10.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 530 to 452 computations (14.7% saved)

simplify215.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

611×	`*-commutative_binary64`
595×	`sqr-pow_binary64`
469×	`associate-/l/_binary64`
393×	`associate-/r/_binary64`
390×	`associate-/l*_binary64`

Counts

62 → 21

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	80	896
1	118	815
2	189	815
3	285	815
4	506	815
5	729	815
6	1151	815
7	2447	815
8	2900	815
9	2904	815
10	3140	815
11	3507	815
12	4074	815
13	4908	815
14	4999	815
15	5000	815
16	4799	815

prune28.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	21	2	23

Error

Counts

23 → 2

Alt Table

Status	Error	Program
✓	0.9b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))
▶	0.0b	(.f64 2 (+.f64 (neg.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))) 0))

Status

Error

Program

✓

0.9b

(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

▶

0.0b

(*.f64 2 (+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))) 0))

Compiler

Compiled 415 to 285 computations (31.3% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
0.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)
0.2b	(/.f64 (asin.f64 (/.f64 g h)) 3)

rewrite178.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

42×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
34×	`*-un-lft-identity_binary64`
34×	`add-cube-cbrt_binary64`
22×	`associate-l_binary64`

Counts

4 → 113

Calls

4 calls:

9.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
9.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
4.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 4005 to 2806 computations (29.9% saved)

series128.0ms (3.9%)

Error

Counts

4 → 24

Calls

4 calls:

53.0ms	(+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))
36.0ms	(*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
17.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
17.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 1502 to 1184 computations (21.2% saved)

simplify206.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

659×	`associate-/l*_binary64`
390×	`associate-l_binary64`
303×	`associate-r_binary64`
281×	`distribute-rgt-in_binary64`
258×	`distribute-lft-in_binary64`

Counts

137 → 85

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	176	3183
1	387	2957
2	921	2942
3	2211	2915
4	4434	2915
5	4916	2913
6	4988	2913
7	4857	2913

prune88.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	85	2	87

Error

Counts

87 → 2

Alt Table

Status	Error	Program
	0.9b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))
	0.0b	(.f64 2 (+.f64 (neg.f64 (+.f64 (.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))) 0))

Status

Error

Program

0.9b

(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

0.0b

(*.f64 2 (+.f64 (neg.f64 (+.f64 (*.f64 (/.f64 (sqrt.f64 3) 2) (cos.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))) (*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3))))) 0))

Compiler

Compiled 2404 to 1711 computations (28.8% saved)

regimes689.0ms (21%)

Accuracy

Total 0.0b remaining (87.1%)

Threshold costs 0.0b (87.1%)

Compiler

Compiled 11395 to 9536 computations (16.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	25	31
2	30	29
3	35	29
4	37	29
5	38	29
6	36	29

end1.0ms (0%)

Compiler: Compiled 20 to 18 computations (10% saved)

sample1.0s (30.6%)

Algorithm

1×

intervals

Results

607.0ms	8000×	body	128	valid
32.0ms	541×	body	128	nan

Compiler

Compiled 84 to 72 computations (14.3% saved)

Details

analyze185.0ms (5.6%)

sample34.0ms (1%)

simplify11.0ms (0.3%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite94.0ms (2.9%)

series65.0ms (2%)

simplify149.0ms (4.5%)

prune64.0ms (2%)

localize9.0ms (0.3%)

rewrite50.0ms (1.5%)

series49.0ms (1.5%)

simplify215.0ms (6.6%)

prune28.0ms (0.9%)

localize15.0ms (0.5%)

rewrite178.0ms (5.4%)

series128.0ms (3.9%)

simplify206.0ms (6.3%)

prune88.0ms (2.7%)

regimes689.0ms (21%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample1.0s (30.6%)

Profiling