Details

analyze158.0ms (3.5%)

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 17 to 17 computations (0% saved)

sample31.0ms (0.7%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	21×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify101.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	54	23
1	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

Compiler

Compiled 28 to 28 computations (0% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite109.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_4533`
14×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
9×	`times-frac_binary64_4517`
8×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
6×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `div-sub_binary64_4516`
4×	`associate-+r-_binary64_4445`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451` `distribute-frac-neg_binary64_4474` `acos-neg_binary64_4694` `acos-asin_binary64_4692` `associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`cos-diff_binary64_4648`
1×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `unswap-sqr_binary64_4479` `*-commutative_binary64_4442` `sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `cos-sum_binary64_4645`

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)))
7.0ms	(+.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 1595 to 940 computations (41.1% saved)

series279.0ms (6.2%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

147.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
66.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
52.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

Compiler

Compiled 810 to 742 computations (8.4% saved)

simplify95.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5183	1544

prune92.0ms (2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	2	89

Error

0.9b

Counts

89 → 2

Compiler

Compiled 1702 to 1010 computations (40.7% saved)

localize9.0ms (0.2%)

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)

rewrite56.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
9×	`times-frac_binary64_4517`
5×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
3×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `acos-asin_binary64_4692` `associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`div-sub_binary64_4516`
1×	`div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508` `cos-diff_binary64_4648`

Counts

3 → 44

Calls

3 calls:

3.0ms	(/.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 866 to 542 computations (37.4% saved)

series195.0ms (4.3%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

118.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
45.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
19.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 648 to 580 computations (10.5% saved)

simplify145.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4749	815
1	4749	815

prune58.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Error

Counts

64 → 2

Compiler

Compiled 1030 to 670 computations (35% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite447.0ms (9.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_4517`
156×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
144×	`sqrt-prod_binary64_4527`
25×	`associate-/l*_binary64_4456`
12×	`associate-/r*_binary64_4455`
11×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
9×	`div-inv_binary64_4508`
5×	`div-sub_binary64_4516`
4×	`pow1_binary64_4572` `div-exp_binary64_4562` `add-log-exp_binary64_4550` `cbrt-undiv_binary64_4545` `acos-asin_binary64_4692`
2×	`frac-2neg_binary64_4522` `clear-num_binary64_4510`
1×	`associate-/l/_binary64_4458` `cos-diff_binary64_4648`

Counts

4 → 232

Calls

4 calls:

11.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
11.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
4.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
1.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 6933 to 4923 computations (29% saved)

series473.0ms (10.5%)

Error

Counts

4 → 24

Calls

4 calls:

209.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
140.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
80.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))
23.0ms	(acos.f64 (/.f64 g h))

Compiler

Compiled 1116 to 1024 computations (8.2% saved)

simplify135.0ms (3%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4947	6323
1	4947	6323

prune362.0ms (8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	256	0	256
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	256	2	258

Error

Counts

258 → 2

Compiler

Compiled 6216 to 4180 computations (32.8% saved)

regimes375.0ms (8.3%)

Accuracy

Total 0.0b remaining (95.6%)

Threshold costs 0.0b (95.6%)

Compiler

Compiled 4127 to 3812 computations (7.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.4s (30%)

Algorithm

1×

intervals

Results

623.0ms	8000×	body	128	valid
40.0ms	578×	body	128	nan

Compiler

Compiled 384 to 359 computations (6.5% saved)

Details

analyze158.0ms (3.5%)

sample31.0ms (0.7%)

simplify101.0ms (2.3%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite109.0ms (2.4%)

series279.0ms (6.2%)

simplify95.0ms (2.1%)

prune92.0ms (2%)

localize9.0ms (0.2%)

rewrite56.0ms (1.2%)

series195.0ms (4.3%)

simplify145.0ms (3.2%)

prune58.0ms (1.3%)

localize14.0ms (0.3%)

rewrite447.0ms (9.9%)

series473.0ms (10.5%)

simplify135.0ms (3%)

prune362.0ms (8%)

regimes375.0ms (8.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.4s (30%)

Profiling