Details

analyze543.0ms (7.1%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample79.0ms (1%)

Algorithm

1×

intervals

Results

32.0ms	62×	body	1024	valid
19.0ms	159×	body	128	valid
10.0ms	27×	body	512	valid
2.0ms	8×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify167.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune12.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5215`
7×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231` `pow1_binary64_5254`
6×	`associate-l_binary64_5134` `associate-r_binary64_5133`
5×	`add-log-exp_binary64_5232`
2×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `unswap-sqr_binary64_5161` `cbrt-unprod_binary64_5226`
1×	`sum-log_binary64_5284` `flip-+_binary64_5167` `+-commutative_binary64_5123` `flip3-+_binary64_5196`

Counts

3 → 47

Calls

3 calls:

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

series224.0ms (3%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
52.0ms	(*.f64 x (sin.f64 y))
51.0ms	(*.f64 z (cos.f64 y))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	5087	625

prune98.0ms (1.3%)

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: 0.0b

Counts

57 → 9

Compiler

Compiled 895 to 251 computations (72% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (cos.f64 y))
0.2b	(cbrt.f64 (cos.f64 y))
0.2b	(cbrt.f64 (cos.f64 y))
0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
6×	`associate-l_binary64_5134` `add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`

Counts

4 → 73

Calls

4 calls:

13.0ms	(*.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))

series601.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
141.0ms	(cbrt.f64 (cos.f64 y))
128.0ms	(cbrt.f64 (cos.f64 y))
128.0ms	(cbrt.f64 (cos.f64 y))

simplify152.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune151.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1922 to 546 computations (71.6% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_5231`
13×	`add-sqr-sqrt_binary64_5215`
12×	`prod-exp_binary64_5242`
11×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
10×	`add-cbrt-cube_binary64_5229`
9×	`associate-r_binary64_5133` `pow1_binary64_5254`
6×	`cbrt-prod_binary64_5224` `cbrt-unprod_binary64_5226`
5×	`pow-exp_binary64_5261`
4×	`associate-l_binary64_5134` `add-log-exp_binary64_5232`
3×	`pow-unpow_binary64_5270` `pow-to-exp_binary64_5262` `unpow-prod-down_binary64_5272`
2×	`pow-prod-down_binary64_5264` `*-commutative_binary64_5124`
1×	`unpow2_binary64_5258` `pow-pow_binary64_5265` `unpow1/3_binary64_5260` `pow1/3_binary64_5275` `unswap-sqr_binary64_5161` `sqr-pow_binary64_5165`

Counts

4 → 72

Calls

4 calls:

20.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
9.0ms	(*.f64 x (sin.f64 y))
5.0ms	(pow.f64 (cos.f64 y) 2)
2.0ms	(cbrt.f64 (cos.f64 y))

series295.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 (cos.f64 y))
62.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
58.0ms	(*.f64 x (sin.f64 y))
26.0ms	(pow.f64 (cos.f64 y) 2)

simplify140.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	4951	705
1	4951	705

prune157.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

Compiler

Compiled 1660 to 697 computations (58% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5224`
23×	`add-sqr-sqrt_binary64_5215`
15×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193`
11×	`pow1_binary64_5254`
9×	`pow1/3_binary64_5275`
6×	`associate-l_binary64_5134` `add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-r_binary64_5133`
4×	`add-cbrt-cube_binary64_5229` `add-log-exp_binary64_5232` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow-plus_binary64_5256` `pow2_binary64_5274` `*-commutative_binary64_5124` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226`

Counts

4 → 73

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))
3.0ms	(cbrt.f64 (sin.f64 y))

series596.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
146.0ms	(cbrt.f64 (sin.f64 y))
138.0ms	(cbrt.f64 (sin.f64 y))
131.0ms	(cbrt.f64 (sin.f64 y))

simplify150.0ms (2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4888	797
1	4888	797

prune137.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 1782 to 460 computations (74.2% saved)

regimes323.0ms (4.2%)

Compiler: Compiled 1484 to 1070 computations (27.9% 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%)

sample3.4s (44.6%)

Algorithm

1×

intervals

Results

1.1s	2060×	body	1024	valid
558.0ms	4488×	body	128	valid
358.0ms	952×	body	512	valid
129.0ms	494×	body	256	valid
6.0ms	6×	body	2048	valid

Compiler

Compiled 384 to 279 computations (27.3% saved)

Details

analyze543.0ms (7.1%)

sample79.0ms (1%)

simplify167.0ms (2.2%)

prune12.0ms (0.2%)

localize16.0ms (0.2%)

rewrite30.0ms (0.4%)

series224.0ms (3%)

simplify152.0ms (2%)

prune98.0ms (1.3%)

localize23.0ms (0.3%)

rewrite31.0ms (0.4%)

series601.0ms (7.9%)

simplify152.0ms (2%)

prune151.0ms (2%)

localize28.0ms (0.4%)

rewrite47.0ms (0.6%)

series295.0ms (3.9%)

simplify140.0ms (1.8%)

prune157.0ms (2.1%)

localize24.0ms (0.3%)

rewrite34.0ms (0.4%)

series596.0ms (7.8%)

simplify150.0ms (2%)

prune137.0ms (1.8%)

regimes323.0ms (4.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.4s (44.6%)

Profiling