Details

analyze152.0ms (3%)

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)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
1.0ms	14×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify119.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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	(/.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)

rewrite104.0ms (2%)

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` `cos-sum_binary64_4645` `div-exp_binary64_4562` `cbrt-undiv_binary64_4545` `frac-2neg_binary64_4522` `clear-num_binary64_4510` `div-inv_binary64_4508`

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 1595 to 940 computations (41.1% saved)

series283.0ms (5.5%)

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)))
73.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
46.0ms	(/.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)

simplify97.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5183	1544

prune93.0ms (1.8%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.0b

Counts

89 → 1

Compiler

Compiled 1691 to 999 computations (40.9% saved)

localize9.0ms (0.2%)

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)

rewrite50.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_4546` `add-sqr-sqrt_binary64_4533` `*-un-lft-identity_binary64_4511`
9×	`times-frac_binary64_4517`
4×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
3×	`associate-/l_binary64_4456` `associate-/r_binary64_4455`
2×	`pow1_binary64_4572` `add-log-exp_binary64_4550` `acos-asin_binary64_4692` `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

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
2.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

Compiler

Compiled 727 to 465 computations (36% saved)

series166.0ms (3.2%)

Error

1.0b

Counts

2 → 12

Calls

2 calls:

113.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
45.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify143.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune54.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	2	49

Error

Counts

49 → 2

Compiler

Compiled 864 to 570 computations (34% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

0.0b

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

rewrite235.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

54×	`add-sqr-sqrt_binary64_4533`
51×	`times-frac_binary64_4517`
50×	`add-exp-log_binary64_4549`
36×	`*-un-lft-identity_binary64_4511`
33×	`add-cube-cbrt_binary64_4546`
24×	`cbrt-prod_binary64_4542`
22×	`associate-r_binary64_4451`
20×	`prod-exp_binary64_4560`
18×	`add-cbrt-cube_binary64_4547`
16×	`div-exp_binary64_4562`
9×	`unswap-sqr_binary64_4479`
8×	`cbrt-undiv_binary64_4545` `cbrt-unprod_binary64_4544`
7×	`associate-l_binary64_4452`
6×	`associate-/r*_binary64_4455`
5×	`pow1_binary64_4572`
4×	`1-exp_binary64_4555` `rec-exp_binary64_4561`
3×	`add-log-exp_binary64_4550` `div-inv_binary64_4508` `associate-/l*_binary64_4456`
1×	`frac-2neg_binary64_4522` `acos-asin_binary64_4692` `div-sub_binary64_4516` `clear-num_binary64_4510` `pow-prod-down_binary64_4582` `frac-times_binary64_4521` `associate-l/_binary64_4454` `associate-r/_binary64_4453` `*-commutative_binary64_4442`

Counts

3 → 117

Calls

3 calls:

18.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

5.0ms

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

2.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

Compiler

Compiled 3675 to 2792 computations (24% saved)

series502.0ms (9.8%)

Error

Counts

3 → 18

Calls

3 calls:

236.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

156.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

93.0ms

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

Compiler

Compiled 918 to 850 computations (7.4% saved)

simplify108.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5016	2590

prune178.0ms (3.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	2	137

Error

Counts

137 → 2

Compiler

Compiled 3275 to 2404 computations (26.6% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0b	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))

rewrite124.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`add-cube-cbrt_binary64_4546` `*-un-lft-identity_binary64_4511`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `swap-sqr_binary64_4478` `associate-l_binary64_4452` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550` `add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479`
2×	`pow-prod-down_binary64_4582` `pow-prod-up_binary64_4581` `pow-sqr_binary64_4484`
1×	`pow2_binary64_4592` `pow-plus_binary64_4574` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
1.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 2872 to 1330 computations (53.7% saved)

series779.0ms (15.2%)

Error

Counts

4 → 24

Calls

4 calls:

230.0ms	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))
175.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
173.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
169.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 2304 to 1626 computations (29.4% saved)

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4827	1113
1	4827	1113

prune139.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	97	2	99

Error

Counts

99 → 2

Compiler

Compiled 3297 to 1763 computations (46.5% saved)

regimes337.0ms (6.6%)

Accuracy

Total 0.0b remaining (99.1%)

Threshold costs 0.0b (99.1%)

Compiler

Compiled 3744 to 3299 computations (11.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms (0%)

sample1.3s (25.2%)

Algorithm

1×

intervals

Results

594.0ms	8000×	body	128	valid
37.0ms	542×	body	128	nan

Compiler

Compiled 388 to 345 computations (11.1% saved)

Details

analyze152.0ms (3%)

sample30.0ms (0.6%)

simplify119.0ms (2.3%)

prune4.0ms (0.1%)

localize11.0ms (0.2%)

rewrite104.0ms (2%)

series283.0ms (5.5%)

simplify97.0ms (1.9%)

prune93.0ms (1.8%)

localize9.0ms (0.2%)

rewrite50.0ms (1%)

series166.0ms (3.2%)

simplify143.0ms (2.8%)

prune54.0ms (1.1%)

localize14.0ms (0.3%)

rewrite235.0ms (4.6%)

series502.0ms (9.8%)

simplify108.0ms (2.1%)

prune178.0ms (3.5%)

localize19.0ms (0.4%)

rewrite124.0ms (2.4%)

series779.0ms (15.2%)

simplify80.0ms (1.6%)

prune139.0ms (2.7%)

regimes337.0ms (6.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.3s (25.2%)

Profiling