Details

analyze349.0ms (9.2%)

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)

sample40.0ms (1.1%)

Algorithm

1×

intervals

Results

13.0ms	47×	body	1024	valid
11.0ms	181×	body	128	valid
7.0ms	22×	body	512	valid
1.0ms	6×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	14

prune2.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_4550`
6×	`add-sqr-sqrt_binary64_4533`
4×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451` `sum-log_binary64_4602`
1×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `unswap-sqr_binary64_4479` `+-commutative_binary64_4441` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-+l+_binary64_4444` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

2 → 31

Calls

2 calls:

7.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
5.0ms	(*.f64 z (cos.f64 y))

series78.0ms (2%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(+.f64 (+.f64 x (sin.f64 y)) (*.f64 z (cos.f64 y)))
30.0ms	(*.f64 z (cos.f64 y))

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5120	480

prune30.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	32	5	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Error

0.0b

Counts

38 → 6

Compiler

Compiled 584 to 152 computations (74% saved)

localize11.0ms (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))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478`
4×	`add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479` `add-log-exp_binary64_4550`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582`
1×	`pow-plus_binary64_4574` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
3.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

series312.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
72.0ms	(cbrt.f64 (cos.f64 y))
67.0ms	(cbrt.f64 (cos.f64 y))
66.0ms	(cbrt.f64 (cos.f64 y))

simplify83.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4921	772
1	4921	772

prune83.0ms (2.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Error

Counts

91 → 7

Compiler

Compiled 1873 to 520 computations (72.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_4549`
22×	`add-sqr-sqrt_binary64_4533`
19×	`unpow-prod-down_binary64_4590`
18×	`associate-r_binary64_4451`
16×	`prod-exp_binary64_4560`
13×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`add-cbrt-cube_binary64_4547`
9×	`pow-exp_binary64_4579`
7×	`pow1_binary64_4572` `cbrt-unprod_binary64_4544`
6×	`unswap-sqr_binary64_4479` `cbrt-prod_binary64_4542`
5×	`sqr-pow_binary64_4483` `pow-to-exp_binary64_4580`
4×	`add-log-exp_binary64_4550` `associate-l_binary64_4452`
3×	`unpow2_binary64_4576` `pow-unpow_binary64_4588`
2×	`unpow1/3_binary64_4578` `*-commutative_binary64_4442`
1×	`pow1/3_binary64_4593` `pow-prod-down_binary64_4582` `pow-pow_binary64_4583`

Counts

4 → 90

Calls

4 calls:

9.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
8.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
2.0ms	(pow.f64 (cos.f64 y) 2)
1.0ms	(cbrt.f64 (cos.f64 y))

series207.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

90.0ms	(*.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3))
73.0ms	(cbrt.f64 (cos.f64 y))
31.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
13.0ms	(pow.f64 (cos.f64 y) 2)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5027	984

prune90.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Error

Counts

109 → 7

Compiler

Compiled 1964 to 775 computations (60.5% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.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))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_4542`
11×	`*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546`
10×	`pow1_binary64_4572` `add-exp-log_binary64_4549`
6×	`add-cbrt-cube_binary64_4547` `unpow-prod-down_binary64_4590` `associate-r_binary64_4451`
4×	`add-log-exp_binary64_4550`
3×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `pow-prod-down_binary64_4582` `pow-unpow_binary64_4588`
2×	`unpow2_binary64_4576` `pow1/3_binary64_4593` `sqr-pow_binary64_4483`
1×	`pow-exp_binary64_4579` `associate-l_binary64_4452` `pow-to-exp_binary64_4580` `*-commutative_binary64_4442` `pow-pow_binary64_4583`

Counts

4 → 66

Calls

4 calls:

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

series232.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
73.0ms	(cbrt.f64 (cos.f64 y))
34.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
13.0ms	(pow.f64 (cos.f64 y) 2)

simplify91.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4903	685
1	4903	685

prune63.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	78	7	85

Error

Counts

85 → 7

Compiler

Compiled 1368 to 500 computations (63.5% saved)

regimes145.0ms (3.8%)

Accuracy

Total 0.0b remaining (76.7%)

Threshold costs 0.0b (76.7%)

Compiler

Compiled 1328 to 926 computations (30.3% 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%)

sample1.6s (43%)

Algorithm

1×

intervals

Results

379.0ms	5744×	body	128	valid
364.0ms	1277×	body	1024	valid
279.0ms	679×	body	512	valid
39.0ms	296×	body	256	valid
7.0ms	4×	body	2048	valid

Compiler

Compiled 345 to 243 computations (29.6% saved)

Details

analyze349.0ms (9.2%)

sample40.0ms (1.1%)

simplify90.0ms (2.4%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite13.0ms (0.4%)

series78.0ms (2%)

simplify79.0ms (2.1%)

prune30.0ms (0.8%)

localize11.0ms (0.3%)

rewrite18.0ms (0.5%)

series312.0ms (8.2%)

simplify83.0ms (2.2%)

prune83.0ms (2.2%)

localize14.0ms (0.4%)

rewrite28.0ms (0.7%)

series207.0ms (5.5%)

simplify64.0ms (1.7%)

prune90.0ms (2.4%)

localize13.0ms (0.3%)

rewrite19.0ms (0.5%)

series232.0ms (6.1%)

simplify91.0ms (2.4%)

prune63.0ms (1.7%)

regimes145.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (43%)

Profiling