Details

analyze201.0ms (9.2%)

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)

sample30.0ms (1.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	18×	body	128	nan

Compiler

Compiled 39 to 35 computations (10.3% saved)

simplify11.0ms (0.5%)

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

prune5.0ms (0.2%)

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)

localize16.0ms (0.7%)

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)

rewrite87.0ms (4%)

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)
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

Compiler

Compiled 1549 to 910 computations (41.3% saved)

series69.0ms (3.2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

33.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
18.0ms	(+.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)

simplify157.0ms (7.2%)

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

prune52.0ms (2.4%)

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

0.9b

Counts

76 → 1

Alt Table

Status	Error	Program
▶	0.9b	(*.f64 2 (+.f64 (neg.f64 (cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))) 0))

Compiler

Compiled 1170 to 685 computations (41.5% saved)

localize13.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 28

Calls

1 calls:

4.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 543 to 341 computations (37.2% saved)

series15.0ms (0.7%)

Error

0.9b

Counts

1 → 6

Calls

1 calls:

14.0ms

(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 182 to 156 computations (14.3% saved)

simplify169.0ms (7.7%)

Algorithm

1×	egg-herbie

Rules

658×	`unswap-sqr_binary64`
522×	`sqr-pow_binary64`
468×	`associate-/l/_binary64`
386×	`associate-/r/_binary64`
382×	`associate-/l*_binary64`

Counts

34 → 14

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	64	533
1	100	495
2	168	495
3	259	495
4	467	495
5	675	495
6	1066	495
7	2313	495
8	2644	495
9	3341	495
10	3503	495
11	3834	495
12	4318	495
13	4994	495
14	4821	495

prune11.0ms (0.5%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	1	15

Error

0.9b

Counts

15 → 1

Alt Table

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

Compiler

Compiled 219 to 145 computations (33.8% saved)

regimes302.0ms (13.8%)

Accuracy

Total -0.9b remaining (-11618.5%)

Threshold costs -0.9b (-11618.5%)

Compiler

Compiled 4416 to 3662 computations (17.1% saved)

simplify4.0ms (0.2%)

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 (46.5%)

Algorithm

1×

intervals

Results

643.0ms	8000×	body	128	valid
38.0ms	604×	body	128	nan

Compiler

Compiled 55 to 49 computations (10.9% saved)

Details

analyze201.0ms (9.2%)

sample30.0ms (1.4%)

simplify11.0ms (0.5%)

prune5.0ms (0.2%)

localize16.0ms (0.7%)

rewrite87.0ms (4%)

series69.0ms (3.2%)

simplify157.0ms (7.2%)

prune52.0ms (2.4%)

localize13.0ms (0.6%)

rewrite31.0ms (1.4%)

series15.0ms (0.7%)

simplify169.0ms (7.7%)

prune11.0ms (0.5%)

regimes302.0ms (13.8%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.0s (46.5%)

Profiling