Details

analyze445.0ms (8.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	56
1	66	56
0	3	3
1	3	3

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)

sample41.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	31×	body	1024	valid
12.0ms	200×	body	128	valid
3.0ms	15×	body	512	valid
1.0ms	10×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	14
1	20	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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-sqr-sqrt_binary64_5215`
3×	`pow1_binary64_5254` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `-un-lft-identity_binary64_5193` `associate-l_binary64_5134` `associate-r*_binary64_5133`
1×	`pow-prod-down_binary64_5264` `prod-exp_binary64_5242` `add-log-exp_binary64_5232` `cbrt-unprod_binary64_5226` `unswap-sqr_binary64_5161` `*-commutative_binary64_5124`

Counts

1 → 18

Calls

1 calls:

4.0ms

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

Compiler

Compiled 255 to 75 computations (70.6% saved)

series83.0ms (1.6%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

75.0ms

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

Compiler

Compiled 279 to 188 computations (32.6% saved)

simplify136.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4763	253
1	4763	253

prune28.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

0.0b

Counts

28 → 6

Compiler

Compiled 431 to 152 computations (64.7% saved)

localize11.0ms (0.2%)

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))

rewrite78.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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×	`add-exp-log_binary64_5231` `swap-sqr_binary64_5160` `associate-l_binary64_5134` `associate-r_binary64_5133`
4×	`add-log-exp_binary64_5232` `add-cbrt-cube_binary64_5229` `unswap-sqr_binary64_5161`
2×	`pow-prod-down_binary64_5264` `pow-prod-up_binary64_5263` `pow-sqr_binary64_5166`
1×	`pow2_binary64_5274` `pow-plus_binary64_5256` `prod-exp_binary64_5242` `cbrt-unprod_binary64_5226` `*-commutative_binary64_5124`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1730 to 366 computations (78.8% saved)

series347.0ms (6.5%)

Error

0.0b

Counts

4 → 19

Calls

4 calls:

87.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
85.0ms	(cbrt.f64 (cos.f64 y))
84.0ms	(cbrt.f64 (cos.f64 y))
73.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1026 to 646 computations (37% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5140	797

prune80.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Error

0.0b

Counts

98 → 4

Compiler

Compiled 1939 to 515 computations (73.4% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite98.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 75

Calls

4 calls:

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

Compiler

Compiled 1670 to 754 computations (54.9% saved)

series461.0ms (8.7%)

Error

0.0b

Counts

4 → 20

Calls

4 calls:

250.0ms	(*.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2)))
99.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
75.0ms	(cbrt.f64 (cos.f64 y))
21.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 956 to 682 computations (28.7% saved)

simplify90.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4940	867
1	4940	867

prune81.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Error

0.0b

Counts

99 → 4

Compiler

Compiled 1822 to 694 computations (61.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite69.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
4.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
2.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 1596 to 245 computations (84.6% saved)

series1.0s (19.3%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

312.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 y) z)) (cbrt.f64 (*.f64 (cos.f64 y) z)))
229.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
227.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))
224.0ms	(cbrt.f64 (*.f64 (cos.f64 y) z))

Compiler

Compiled 2366 to 1404 computations (40.7% saved)

simplify66.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4995	919
1	4995	919

prune73.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Error

0.0b

Counts

93 → 5

Compiler

Compiled 2082 to 402 computations (80.7% saved)

regimes169.0ms (3.2%)

Accuracy

Total 0.0b remaining (69.7%)

Threshold costs 0.0b (69.7%)

Compiler

Compiled 1728 to 1074 computations (37.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.8s (33.7%)

Algorithm

1×

intervals

Results

584.0ms	5734×	body	128	valid
350.0ms	1282×	body	1024	valid
123.0ms	647×	body	512	valid
43.0ms	335×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 445 to 280 computations (37.1% saved)

Details

analyze445.0ms (8.4%)

sample41.0ms (0.8%)

simplify7.0ms (0.1%)

prune3.0ms (0.1%)

localize8.0ms (0.1%)

rewrite20.0ms (0.4%)

series83.0ms (1.6%)

simplify136.0ms (2.6%)

prune28.0ms (0.5%)

localize11.0ms (0.2%)

rewrite78.0ms (1.5%)

series347.0ms (6.5%)

simplify78.0ms (1.5%)

prune80.0ms (1.5%)

localize12.0ms (0.2%)

rewrite98.0ms (1.8%)

series461.0ms (8.7%)

simplify90.0ms (1.7%)

prune81.0ms (1.5%)

localize11.0ms (0.2%)

rewrite69.0ms (1.3%)

series1.0s (19.3%)

simplify66.0ms (1.2%)

prune73.0ms (1.4%)

regimes169.0ms (3.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.8s (33.7%)

Profiling