Details

analyze192.0ms (5.5%)

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)

sample32.0ms (0.9%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	18×	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×	`div-sub_binary64` `+-commutative_binary64`
4×	`associate-/l*_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `div0_binary64` `associate-/r/_binary64` `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

prune9.0ms (0.3%)

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 (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite97.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64`
14×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `div-sub_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)

series75.0ms (2.1%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

35.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
20.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
17.0ms	(/.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)

simplify153.0ms (4.4%)

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

prune58.0ms (1.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

76 → 1

Alt Table

Status	Error	Program
▶	1.0b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

Compiler

Compiled 1170 to 685 computations (41.5% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite48.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l_binary64` `associate-/r_binary64`
2×	`pow1_binary64` `add-log-exp_binary64` `acos-asin_binary64` `div-sub_binary64`

Counts

2 → 36

Calls

2 calls:

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

Compiler

Compiled 715 to 455 computations (36.4% saved)

series40.0ms (1.2%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

25.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
14.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 350 to 300 computations (14.3% saved)

simplify207.0ms (5.9%)

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

48 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	769
1	118	701
2	189	701
3	285	701
4	506	701
5	729	701
6	1151	701
7	2447	701
8	2900	701
9	2904	701
10	3140	701
11	3507	701
12	4074	701
13	4908	701
14	4999	701
15	5000	701
16	4799	701

prune23.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

Counts

21 → 2

Alt Table

Status	Error	Program
▶	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))
✓	1.0b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

Status

Error

Program

▶

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))

✓

1.0b

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

Compiler

Compiled 400 to 274 computations (31.5% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/2 (sin.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)

rewrite156.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
18×	`times-frac_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64` `add-log-exp_binary64` `associate-/l_binary64` `associate-/r_binary64`

Counts

4 → 87

Calls

4 calls:

12.0ms	(+.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))))
6.0ms	(*.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 3126 to 2127 computations (32% saved)

series138.0ms (4%)

Error

Counts

4 → 24

Calls

4 calls:

61.0ms	(+.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))))
33.0ms	(*.f64 1/2 (sin.f64 (/.f64 (asin.f64 (/.f64 g h)) 3)))
21.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)
19.0ms	(/.f64 (asin.f64 (/.f64 g h)) 3)

Compiler

Compiled 1475 to 1165 computations (21% saved)

simplify165.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

469×	`associate-*l/_binary64`
418×	`associate-*r/_binary64`
379×	`times-frac_binary64`
310×	`associate-/l*_binary64`
277×	`*-commutative_binary64`

Counts

111 → 59

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	2383
1	274	2224
2	642	2209
3	1513	2188
4	3662	2188
5	4877	2188
6	4926	2188

prune66.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	59	2	61

Error

Counts

61 → 2

Alt Table

Status	Error	Program
	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))
	1.0b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

Status

Error

Program

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))

1.0b

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

Compiler

Compiled 1684 to 1159 computations (31.2% saved)

regimes870.0ms (25%)

Accuracy

Total 0.0b remaining (81.3%)

Threshold costs 0.0b (81.3%)

Compiler

Compiled 10036 to 8297 computations (17.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64` `sub-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-neg-in_binary64` `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)

sample1.1s (31.5%)

Algorithm

1×

intervals

Results

663.0ms	8000×	body	128	valid
42.0ms	558×	body	128	nan

Compiler

Compiled 84 to 72 computations (14.3% saved)

Details

analyze192.0ms (5.5%)

sample32.0ms (0.9%)

simplify11.0ms (0.3%)

prune9.0ms (0.3%)

localize12.0ms (0.3%)

rewrite97.0ms (2.8%)

series75.0ms (2.1%)

simplify153.0ms (4.4%)

prune58.0ms (1.7%)

localize10.0ms (0.3%)

rewrite48.0ms (1.4%)

series40.0ms (1.2%)

simplify207.0ms (5.9%)

prune23.0ms (0.7%)

localize17.0ms (0.5%)

rewrite156.0ms (4.5%)

series138.0ms (4%)

simplify165.0ms (4.7%)

prune66.0ms (1.9%)

regimes870.0ms (25%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.1s (31.5%)

Profiling