Details

analyze351.0ms (8.9%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample39.0ms (1%)

Algorithm

1×

intervals

Results

15.0ms	46×	body	1024	valid
11.0ms	191×	body	128	valid
3.0ms	13×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify164.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune7.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 z (cos.f64 y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_5605`
3×	`associate-r_binary64_5523` `pow1_binary64_5644` `-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618` `add-exp-log_binary64_5621` `add-cbrt-cube_binary64_5619` `associate-l*_binary64_5524`
1×	`unswap-sqr_binary64_5551` `prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `pow-prod-down_binary64_5654` `*-commutative_binary64_5514` `add-log-exp_binary64_5622`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 z (cos.f64 y))

series54.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

54.0ms

(*.f64 z (cos.f64 y))

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5401	169

prune39.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

Compiler

Compiled 539 to 269 computations (50.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5614`
23×	`add-sqr-sqrt_binary64_5605`
15×	`*-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618`
11×	`pow1_binary64_5644`
9×	`pow1/3_binary64_5665`
6×	`associate-r_binary64_5523` `add-exp-log_binary64_5621` `swap-sqr_binary64_5550` `associate-l_binary64_5524`
4×	`unswap-sqr_binary64_5551` `add-cbrt-cube_binary64_5619` `add-log-exp_binary64_5622`
2×	`pow-prod-down_binary64_5654` `pow-prod-up_binary64_5653` `pow-sqr_binary64_5556`
1×	`pow-plus_binary64_5646` `pow2_binary64_5664` `prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `*-commutative_binary64_5514`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series631.0ms (16.1%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
162.0ms	(cbrt.f64 z)
148.0ms	(cbrt.f64 z)
143.0ms	(cbrt.f64 z)

simplify56.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5245	563

prune79.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

Compiler

Compiled 1782 to 532 computations (70.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.0b	(sqrt.f64 (cos.f64 y))
0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_5605`
13×	`pow1_binary64_5644` `sqrt-prod_binary64_5599`
12×	`associate-r_binary64_5523`
11×	`*-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618` `add-exp-log_binary64_5621` `add-cbrt-cube_binary64_5619`
4×	`prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `pow-prod-down_binary64_5654` `add-log-exp_binary64_5622` `associate-l_binary64_5524`
2×	`sqrt-pow1_binary64_5601` `unswap-sqr_binary64_5551` `pow1/2_binary64_5663` `rem-sqrt-square_binary64_5596` `*-commutative_binary64_5514`

Counts

4 → 69

Calls

4 calls:

8.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
6.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
2.0ms	(sqrt.f64 (cos.f64 y))
2.0ms	(sqrt.f64 (cos.f64 y))

series191.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
60.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
27.0ms	(sqrt.f64 (cos.f64 y))
27.0ms	(sqrt.f64 (cos.f64 y))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4951	724
1	4951	724

prune93.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	80	6	86

Merged error: 0.0b

Counts

86 → 6

Compiler

Compiled 1832 to 581 computations (68.3% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (cos.f64 y))
0.1b	(.f64 (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
0.1b	(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`sqrt-prod_binary64_5599`
24×	`associate-r_binary64_5523`
21×	`pow1_binary64_5644`
20×	`add-exp-log_binary64_5621` `add-cbrt-cube_binary64_5619`
19×	`add-sqr-sqrt_binary64_5605`
14×	`*-un-lft-identity_binary64_5583` `add-cube-cbrt_binary64_5618`
10×	`prod-exp_binary64_5632` `cbrt-unprod_binary64_5616` `pow-prod-down_binary64_5654`
5×	`associate-l_binary64_5524`
4×	`add-log-exp_binary64_5622`
3×	`*-commutative_binary64_5514`
2×	`unswap-sqr_binary64_5551`
1×	`sqrt-pow1_binary64_5601` `pow1/2_binary64_5663` `rem-sqrt-square_binary64_5596`

Counts

4 → 86

Calls

4 calls:

15.0ms	(.f64 (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
11.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
6.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
2.0ms	(sqrt.f64 (cos.f64 y))

series351.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(.f64 (.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
89.0ms	(*.f64 z (sqrt.f64 (cos.f64 y)))
61.0ms	(.f64 (.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (sqrt.f64 (cos.f64 y)))) (sqrt.f64 (sqrt.f64 (cos.f64 y))))
25.0ms	(sqrt.f64 (cos.f64 y))

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4885	1122
1	4885	1122

prune87.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

Compiler

Compiled 2184 to 501 computations (77.1% saved)

regimes63.0ms (1.6%)

Compiler: Compiled 416 to 294 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.4s (34.8%)

Algorithm

1×

intervals

Results

451.0ms	1316×	body	1024	valid
374.0ms	5723×	body	128	valid
143.0ms	639×	body	512	valid
44.0ms	317×	body	256	valid
5.0ms	5×	body	2048	valid

Compiler

Compiled 117 to 85 computations (27.4% saved)

Details

analyze351.0ms (8.9%)

sample39.0ms (1%)

simplify164.0ms (4.2%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite6.0ms (0.2%)

series54.0ms (1.4%)

simplify58.0ms (1.5%)

prune39.0ms (1%)

localize13.0ms (0.3%)

rewrite17.0ms (0.4%)

series631.0ms (16.1%)

simplify56.0ms (1.4%)

prune79.0ms (2%)

localize11.0ms (0.3%)

rewrite23.0ms (0.6%)

series191.0ms (4.9%)

simplify79.0ms (2%)

prune93.0ms (2.4%)

localize14.0ms (0.4%)

rewrite43.0ms (1.1%)

series351.0ms (8.9%)

simplify79.0ms (2%)

prune87.0ms (2.2%)

regimes63.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.4s (34.8%)

Profiling