Details

analyze266.0ms (5.7%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample55.0ms (1.2%)

Algorithm

1×

intervals

Results

26.0ms	68×	body	1024	valid
10.0ms	144×	body	128	valid
7.0ms	30×	body	512	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify168.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (0.1%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.1b	(*.f64 x (cos.f64 y))
0.1b	(*.f64 z (sin.f64 y))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5827`
7×	`pow1_binary64_5864` `add-exp-log_binary64_5841` `add-cbrt-cube_binary64_5839` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
6×	`associate-l_binary64_5749` `associate-r_binary64_5748`
5×	`add-log-exp_binary64_5842`
2×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `unswap-sqr_binary64_5774` `*-commutative_binary64_5739` `pow-prod-down_binary64_5874`
1×	`flip3-+_binary64_5809` `flip-+_binary64_5780` `+-commutative_binary64_5738` `sum-log_binary64_5894`

Counts

3 → 47

Calls

3 calls:

5.0ms	(*.f64 z (sin.f64 y))
5.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
5.0ms	(*.f64 x (cos.f64 y))

series240.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

125.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
59.0ms	(*.f64 x (cos.f64 y))
56.0ms	(*.f64 z (sin.f64 y))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4831	619
1	4831	619

prune62.0ms (1.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 0.0b

Counts

57 → 11

Compiler

Compiled 938 to 276 computations (70.6% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5834`
23×	`add-sqr-sqrt_binary64_5827`
15×	`add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
11×	`pow1_binary64_5864`
9×	`pow1/3_binary64_5885`
6×	`swap-sqr_binary64_5773` `associate-l_binary64_5749` `associate-r_binary64_5748` `add-exp-log_binary64_5841`
4×	`unswap-sqr_binary64_5774` `add-log-exp_binary64_5842` `add-cbrt-cube_binary64_5839`
2×	`pow-prod-up_binary64_5873` `pow-sqr_binary64_5779` `pow-prod-down_binary64_5874`
1×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `pow-plus_binary64_5866` `pow2_binary64_5884` `*-commutative_binary64_5739`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series549.0ms (11.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
133.0ms	(cbrt.f64 (cos.f64 y))
119.0ms	(cbrt.f64 (cos.f64 y))
117.0ms	(cbrt.f64 (cos.f64 y))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4906	772
1	4906	772

prune98.0ms (2.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 1997 to 591 computations (70.4% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 z (sin.f64 y))
0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (cos.f64 y))

rewrite25.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5841`
13×	`add-sqr-sqrt_binary64_5827`
12×	`prod-exp_binary64_5852`
11×	`add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
10×	`add-cbrt-cube_binary64_5839`
9×	`pow1_binary64_5864` `associate-r_binary64_5748`
6×	`cbrt-unprod_binary64_5836` `cbrt-prod_binary64_5834`
5×	`pow-exp_binary64_5871`
4×	`associate-l_binary64_5749` `add-log-exp_binary64_5842`
3×	`unpow-prod-down_binary64_5882` `pow-unpow_binary64_5880` `pow-to-exp_binary64_5872`
2×	`*-commutative_binary64_5739` `pow-prod-down_binary64_5874`
1×	`unpow1/3_binary64_5870` `pow-pow_binary64_5875` `unswap-sqr_binary64_5774` `unpow2_binary64_5868` `sqr-pow_binary64_5778` `pow1/3_binary64_5885`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
4.0ms	(*.f64 z (sin.f64 y))
3.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series257.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 (cos.f64 y))
56.0ms	(*.f64 z (sin.f64 y))
54.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
23.0ms	(pow.f64 (cos.f64 y) 2)

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4822	705
1	4822	705

prune86.0ms (1.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	84	12	96

Merged error: 0.0b

Counts

96 → 12

Compiler

Compiled 1733 to 738 computations (57.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
0.3b	(pow.f64 (cos.f64 y) 2)
0.3b	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_5834`
11×	`add-sqr-sqrt_binary64_5827` `add-cube-cbrt_binary64_5838` `*-un-lft-identity_binary64_5806`
10×	`pow1_binary64_5864` `add-exp-log_binary64_5841`
6×	`unpow-prod-down_binary64_5882` `associate-r_binary64_5748` `add-cbrt-cube_binary64_5839`
4×	`add-log-exp_binary64_5842`
3×	`prod-exp_binary64_5852` `cbrt-unprod_binary64_5836` `pow-unpow_binary64_5880` `pow-prod-down_binary64_5874`
2×	`unpow2_binary64_5868` `sqr-pow_binary64_5778` `pow1/3_binary64_5885`
1×	`pow-pow_binary64_5875` `associate-l_binary64_5749` `*-commutative_binary64_5739` `pow-exp_binary64_5871` `pow-to-exp_binary64_5872`

Counts

4 → 66

Calls

4 calls:

8.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
1.0ms	(cbrt.f64 (cos.f64 y))

series395.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
124.0ms	(cbrt.f64 (cos.f64 y))
57.0ms	(.f64 (.f64 x (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
24.0ms	(pow.f64 (cos.f64 y) 2)

simplify55.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4972	852
1	4972	852

prune72.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	10	10
Picked	0	1	1
Done	1	0	1
Total	78	12	90

Merged error: 0.0b

Counts

90 → 12

Compiler

Compiled 1464 to 583 computations (60.2% saved)

regimes83.0ms (1.8%)

Compiler: Compiled 714 to 471 computations (34% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	26
1	18	26

end0.0ms (0%)

sample1.9s (40.7%)

Algorithm

1×

intervals

Results

755.0ms	2020×	body	1024	valid
337.0ms	4516×	body	128	valid
214.0ms	968×	body	512	valid
86.0ms	491×	body	256	valid
4.0ms	5×	body	2048	valid

Compiler

Compiled 262 to 176 computations (32.8% saved)

Details

analyze266.0ms (5.7%)

sample55.0ms (1.2%)

simplify168.0ms (3.6%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite17.0ms (0.4%)

series240.0ms (5.2%)

simplify78.0ms (1.7%)

prune62.0ms (1.3%)

localize16.0ms (0.4%)

rewrite19.0ms (0.4%)

series549.0ms (11.8%)

simplify87.0ms (1.9%)

prune98.0ms (2.1%)

localize17.0ms (0.4%)

rewrite25.0ms (0.5%)

series257.0ms (5.5%)

simplify69.0ms (1.5%)

prune86.0ms (1.9%)

localize14.0ms (0.3%)

rewrite20.0ms (0.4%)

series395.0ms (8.5%)

simplify55.0ms (1.2%)

prune72.0ms (1.6%)

regimes83.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (40.7%)

Profiling