Details

analyze166.0ms (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)

sample31.0ms (0.6%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify102.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	54	23
1	54	23

prune8.0ms (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)

localize12.0ms (0.2%)

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)

rewrite107.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_6579`
14×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
9×	`times-frac_binary64_6563`
8×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
6×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `div-sub_binary64_6562`
4×	`associate-+r-_binary64_6491`
3×	`associate-l_binary64_6498` `associate-r_binary64_6497` `distribute-frac-neg_binary64_6520` `acos-neg_binary64_6740` `acos-asin_binary64_6738` `associate-/l_binary64_6502` `associate-/r_binary64_6501`
2×	`cos-diff_binary64_6694`
1×	`pow-prod-down_binary64_6628` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `unswap-sqr_binary64_6525` `*-commutative_binary64_6488` `cos-sum_binary64_6691` `sum-log_binary64_6648` `flip3-+_binary64_6560` `flip-+_binary64_6531` `+-commutative_binary64_6487` `div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554`

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)

series261.0ms (4.7%)

Error

1.0b

Counts

4 → 18

Calls

4 calls:

138.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
67.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
42.0ms	(/.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)

simplify99.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5183	1544

prune91.0ms (1.6%)

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 1707 to 1015 computations (40.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite51.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
9×	`times-frac_binary64_6563`
4×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
3×	`associate-/l_binary64_6502` `associate-/r_binary64_6501`
2×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `acos-asin_binary64_6738` `div-sub_binary64_6562`
1×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568` `clear-num_binary64_6556` `div-inv_binary64_6554` `cos-diff_binary64_6694`

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)

series165.0ms (3%)

Error

0.9b

Counts

2 → 12

Calls

2 calls:

112.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
44.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

Compiler

Compiled 432 to 388 computations (10.2% saved)

simplify149.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4749	701
1	4749	701

prune54.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Compiler

Compiled 856 to 562 computations (34.3% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite470.0ms (8.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

276×	`times-frac_binary64_6563`
155×	`add-cube-cbrt_binary64_6592` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`
144×	`sqrt-prod_binary64_6573`
25×	`associate-/l*_binary64_6502`
12×	`associate-/r*_binary64_6501`
10×	`add-exp-log_binary64_6595` `add-cbrt-cube_binary64_6593`
9×	`div-inv_binary64_6554`
5×	`div-sub_binary64_6562`
4×	`div-exp_binary64_6608` `cbrt-undiv_binary64_6591`
3×	`pow1_binary64_6618` `add-log-exp_binary64_6596` `acos-asin_binary64_6738`
2×	`frac-2neg_binary64_6568` `clear-num_binary64_6556`
1×	`associate-/l/_binary64_6504` `cos-diff_binary64_6694`

Counts

3 → 224

Calls

3 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))

Compiler

Compiled 6762 to 4814 computations (28.8% saved)

series423.0ms (7.6%)

Error

Counts

3 → 18

Calls

3 calls:

199.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
127.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
82.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

Compiler

Compiled 828 to 760 computations (8.2% saved)

simplify131.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

242 → 242

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4947	6209
1	4947	6209

prune311.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	242	0	242
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	242	3	245

Error

Counts

245 → 3

Compiler

Compiled 5986 to 4009 computations (33% saved)

localize15.0ms (0.3%)

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))))

rewrite116.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`cbrt-prod_binary64_6588`
23×	`add-sqr-sqrt_binary64_6579`
15×	`add-cube-cbrt_binary64_6592` `*-un-lft-identity_binary64_6557`
11×	`pow1_binary64_6618`
9×	`pow1/3_binary64_6639`
6×	`add-exp-log_binary64_6595` `swap-sqr_binary64_6524` `associate-l_binary64_6498` `associate-r_binary64_6497`
4×	`add-log-exp_binary64_6596` `add-cbrt-cube_binary64_6593` `unswap-sqr_binary64_6525`
2×	`pow-prod-down_binary64_6628` `pow-prod-up_binary64_6627` `pow-sqr_binary64_6530`
1×	`pow2_binary64_6638` `pow-plus_binary64_6620` `prod-exp_binary64_6606` `cbrt-unprod_binary64_6590` `*-commutative_binary64_6488`

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 2653 to 1111 computations (58.1% saved)

series768.0ms (13.8%)

Error

Counts

4 → 24

Calls

4 calls:

227.0ms	(*.f64 (cbrt.f64 (acos.f64 (/.f64 g h))) (cbrt.f64 (acos.f64 (/.f64 g h))))
177.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
168.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))
168.0ms	(cbrt.f64 (acos.f64 (/.f64 g h)))

Compiler

Compiled 2088 to 1410 computations (32.5% saved)

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4827	1113
1	4827	1113

prune121.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Error

Counts

100 → 3

Compiler

Compiled 3006 to 1472 computations (51% saved)

regimes413.0ms (7.4%)

Accuracy

Total 0.0b remaining (98.8%)

Threshold costs 0.0b (98.8%)

Compiler

Compiled 4791 to 4320 computations (9.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample1.4s (25.2%)

Algorithm

1×

intervals

Results

615.0ms	8000×	body	128	valid
33.0ms	523×	body	128	nan

Compiler

Compiled 472 to 427 computations (9.5% saved)

Details

analyze166.0ms (3%)

sample31.0ms (0.6%)

simplify102.0ms (1.8%)

prune8.0ms (0.1%)

localize12.0ms (0.2%)

rewrite107.0ms (1.9%)

series261.0ms (4.7%)

simplify99.0ms (1.8%)

prune91.0ms (1.6%)

localize9.0ms (0.2%)

rewrite51.0ms (0.9%)

series165.0ms (3%)

simplify149.0ms (2.7%)

prune54.0ms (1%)

localize12.0ms (0.2%)

rewrite470.0ms (8.4%)

series423.0ms (7.6%)

simplify131.0ms (2.3%)

prune311.0ms (5.6%)

localize15.0ms (0.3%)

rewrite116.0ms (2.1%)

series768.0ms (13.8%)

simplify86.0ms (1.5%)

prune121.0ms (2.2%)

regimes413.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (25.2%)

Profiling