Details

analyze164.0ms (5.6%)

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 (1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
1.0ms	15×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify178.0ms (6.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	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

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.9b	(/.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)

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1469`
14×	`add-cube-cbrt_binary64_1482` `*-un-lft-identity_binary64_1447`
9×	`times-frac_binary64_1453`
8×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
6×	`pow1_binary64_1508` `div-sub_binary64_1452` `add-log-exp_binary64_1486`
4×	`associate-+r-_binary64_1381`
3×	`associate-r_binary64_1387` `acos-asin_binary64_1628` `associate-l_binary64_1388` `associate-/r_binary64_1391` `associate-/l_binary64_1392` `distribute-frac-neg_binary64_1410` `acos-neg_binary64_1630`
2×	`cos-diff_binary64_1584`
1×	`frac-2neg_binary64_1458` `flip3-+_binary64_1450` `prod-exp_binary64_1496` `cbrt-unprod_binary64_1480` `clear-num_binary64_1446` `cos-sum_binary64_1581` `pow-prod-down_binary64_1518` `*-commutative_binary64_1378` `unswap-sqr_binary64_1415` `cbrt-undiv_binary64_1481` `sum-log_binary64_1538` `div-inv_binary64_1444` `flip-+_binary64_1421` `+-commutative_binary64_1377` `div-exp_binary64_1498`

Counts

4 → 70

Calls

4 calls:

8.0ms	(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)

series209.0ms (7.2%)

Counts

4 → 10

Calls

4 calls:

140.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
46.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
23.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5181	1420

prune89.0ms (3.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	3	81

Merged error: 0.9b

Counts

81 → 3

Compiler

Compiled 1619 to 963 computations (40.5% saved)

localize9.0ms (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)

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cube-cbrt_binary64_1482` `add-sqr-sqrt_binary64_1469` `*-un-lft-identity_binary64_1447`
9×	`times-frac_binary64_1453`
4×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
3×	`associate-/r_binary64_1391` `associate-/l_binary64_1392`
2×	`acos-asin_binary64_1628` `pow1_binary64_1508` `div-sub_binary64_1452` `add-log-exp_binary64_1486`
1×	`frac-2neg_binary64_1458` `clear-num_binary64_1446` `cbrt-undiv_binary64_1481` `div-inv_binary64_1444` `cos-diff_binary64_1584` `div-exp_binary64_1498`

Counts

2 → 36

Calls

2 calls:

4.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series100.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
19.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify137.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune47.0ms (1.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

Compiler

Compiled 755 to 495 computations (34.4% saved)

localize11.0ms (0.4%)

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))

rewrite64.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_1453`
155×	`add-cube-cbrt_binary64_1482` `add-sqr-sqrt_binary64_1469` `*-un-lft-identity_binary64_1447`
144×	`sqrt-prod_binary64_1463`
25×	`associate-/l*_binary64_1392`
12×	`associate-/r*_binary64_1391`
10×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
9×	`div-inv_binary64_1444`
5×	`div-sub_binary64_1452`
4×	`cbrt-undiv_binary64_1481` `div-exp_binary64_1498`
3×	`acos-asin_binary64_1628` `pow1_binary64_1508` `add-log-exp_binary64_1486`
2×	`frac-2neg_binary64_1458` `clear-num_binary64_1446`
1×	`associate-/l/_binary64_1394` `cos-diff_binary64_1584`

Counts

3 → 224

Calls

3 calls:

14.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
13.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
5.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

series299.0ms (10.3%)

Counts

3 → 9

Calls

3 calls:

156.0ms	(cos.f64 (/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3)))
92.0ms	(/.f64 (/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3)) (sqrt.f64 3))
50.0ms	(/.f64 (acos.f64 (/.f64 g h)) (sqrt.f64 3))

simplify126.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

233 → 233

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4947	6116
1	4947	6116

prune306.0ms (10.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	233	2	235

Merged error: 0b

Counts

235 → 2

Compiler

Compiled 5837 to 3912 computations (33% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 60 to 64 computations (-6.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	23
1	37	23

end0.0ms (0%)

sample961.0ms (33.2%)

Algorithm

1×

intervals

Results

662.0ms	8000×	body	128	valid
31.0ms	493×	body	128	nan

Compiler

Compiled 59 to 61 computations (-3.4% saved)

Details

analyze164.0ms (5.6%)

sample30.0ms (1%)

simplify178.0ms (6.1%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite28.0ms (1%)

series209.0ms (7.2%)

simplify91.0ms (3.2%)

prune89.0ms (3.1%)

localize9.0ms (0.3%)

rewrite9.0ms (0.3%)

series100.0ms (3.4%)

simplify137.0ms (4.7%)

prune47.0ms (1.6%)

localize11.0ms (0.4%)

rewrite64.0ms (2.2%)

series299.0ms (10.3%)

simplify126.0ms (4.3%)

prune306.0ms (10.6%)

regimes18.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample961.0ms (33.2%)

Profiling