Details

analyze495.0ms (6.6%)

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
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)

sample83.0ms (1.1%)

Algorithm

1×

intervals

Results

33.0ms	61×	body	1024	valid
20.0ms	153×	body	128	valid
11.0ms	30×	body	512	valid
3.0ms	12×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify166.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune4.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_4874`
7×	`add-exp-log_binary64_4890` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `pow1_binary64_4913`
6×	`associate-l_binary64_4793` `associate-r_binary64_4792`
5×	`add-log-exp_binary64_4891`
2×	`unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `pow-prod-down_binary64_4923` `*-commutative_binary64_4783`
1×	`+-commutative_binary64_4782` `flip-+_binary64_4826` `flip3-+_binary64_4855` `sum-log_binary64_4943`

Counts

3 → 47

Calls

3 calls:

8.0ms	(*.f64 z (sin.f64 y))
7.0ms	(*.f64 x (cos.f64 y))
7.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

series211.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

106.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
54.0ms	(*.f64 z (sin.f64 y))
50.0ms	(*.f64 x (cos.f64 y))

simplify146.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	5082	619

prune108.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	47	9	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

Compiler

Compiled 888 to 250 computations (71.8% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.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))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
6×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `associate-r_binary64_4792` `swap-sqr_binary64_4819`
4×	`unswap-sqr_binary64_4820` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
2×	`pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `pow-prod-down_binary64_4923`
1×	`cbrt-unprod_binary64_4885` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `pow2_binary64_4933` `*-commutative_binary64_4783`

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
3.0ms	(cbrt.f64 (cos.f64 y))
3.0ms	(cbrt.f64 (cos.f64 y))
2.0ms	(cbrt.f64 (cos.f64 y))

series577.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
144.0ms	(cbrt.f64 (cos.f64 y))
133.0ms	(cbrt.f64 (cos.f64 y))
116.0ms	(cbrt.f64 (cos.f64 y))

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune161.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1935 to 557 computations (71.2% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_4890`
13×	`add-sqr-sqrt_binary64_4874`
12×	`prod-exp_binary64_4901`
11×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
10×	`add-cbrt-cube_binary64_4888`
9×	`associate-r_binary64_4792` `pow1_binary64_4913`
6×	`cbrt-unprod_binary64_4885` `cbrt-prod_binary64_4883`
5×	`pow-exp_binary64_4920`
4×	`associate-l_binary64_4793` `add-log-exp_binary64_4891`
3×	`pow-to-exp_binary64_4921` `unpow-prod-down_binary64_4931` `pow-unpow_binary64_4929`
2×	`pow-prod-down_binary64_4923` `*-commutative_binary64_4783`
1×	`pow-pow_binary64_4924` `unswap-sqr_binary64_4820` `pow1/3_binary64_4934` `unpow1/3_binary64_4919` `unpow2_binary64_4917` `sqr-pow_binary64_4824`

Counts

4 → 72

Calls

4 calls:

19.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (sin.f64 y))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series268.0ms (3.6%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt.f64 (cos.f64 y))
55.0ms	(*.f64 z (sin.f64 y))
53.0ms	(.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)

simplify134.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	4951	705
1	4951	705

prune155.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	84	10	94

Merged error: 0.0b

Counts

94 → 10

Compiler

Compiled 1679 to 711 computations (57.7% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite27.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_4874`
11×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `cbrt-prod_binary64_4883`
7×	`add-exp-log_binary64_4890` `pow1_binary64_4913`
6×	`add-cbrt-cube_binary64_4888` `unpow-prod-down_binary64_4931`
4×	`add-log-exp_binary64_4891`
3×	`associate-l_binary64_4793` `associate-r_binary64_4792` `pow-unpow_binary64_4929`
2×	`pow1/3_binary64_4934` `unpow2_binary64_4917` `sqr-pow_binary64_4824`
1×	`pow-pow_binary64_4924` `unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `pow-to-exp_binary64_4921` `prod-exp_binary64_4901` `pow-exp_binary64_4920` `pow-prod-down_binary64_4923` `*-commutative_binary64_4783`

Counts

4 → 63

Calls

4 calls:

8.0ms	(*.f64 z (sin.f64 y))
4.0ms	(pow.f64 (cos.f64 y) 2)
4.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
2.0ms	(cbrt.f64 (cos.f64 y))

series397.0ms (5.3%)

Counts

4 → 12

Calls

4 calls:

197.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
122.0ms	(cbrt.f64 (cos.f64 y))
55.0ms	(*.f64 z (sin.f64 y))
24.0ms	(pow.f64 (cos.f64 y) 2)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4943	623
1	4943	623

prune122.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	75	10	85

Merged error: 0.0b

Counts

85 → 10

Compiler

Compiled 1429 to 569 computations (60.2% saved)

regimes388.0ms (5.2%)

Compiler: Compiled 1888 to 1326 computations (29.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample3.5s (47%)

Algorithm

1×

intervals

Results

1.1s	1971×	body	1024	valid
574.0ms	4522×	body	128	valid
384.0ms	1030×	body	512	valid
125.0ms	471×	body	256	valid
6.0ms	6×	body	2048	valid

Compiler

Compiled 485 to 343 computations (29.3% saved)

Details

analyze495.0ms (6.6%)

sample83.0ms (1.1%)

simplify166.0ms (2.2%)

prune4.0ms (0.1%)

localize21.0ms (0.3%)

rewrite28.0ms (0.4%)

series211.0ms (2.8%)

simplify146.0ms (2%)

prune108.0ms (1.5%)

localize23.0ms (0.3%)

rewrite34.0ms (0.5%)

series577.0ms (7.7%)

simplify150.0ms (2%)

prune161.0ms (2.2%)

localize29.0ms (0.4%)

rewrite49.0ms (0.7%)

series268.0ms (3.6%)

simplify134.0ms (1.8%)

prune155.0ms (2.1%)

localize25.0ms (0.3%)

rewrite27.0ms (0.4%)

series397.0ms (5.3%)

simplify145.0ms (1.9%)

prune122.0ms (1.6%)

regimes388.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.5s (47%)

Profiling