Details

analyze371.0ms (6.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	56
1	34	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
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)

sample49.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	55×	body	1024	valid
9.0ms	146×	body	128	valid
7.0ms	36×	body	512	valid
6.0ms	19×	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	12	14
1	12	14

prune2.0ms (0%)

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)

localize8.0ms (0.1%)

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))

rewrite57.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

3 → 47

Calls

3 calls:

4.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
4.0ms	(*.f64 z (cos.f64 y))
4.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 730 to 175 computations (76% saved)

series386.0ms (6.8%)

Error

0.1b

Counts

3 → 36

Calls

3 calls:

214.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
75.0ms	(*.f64 z (cos.f64 y))
73.0ms	(*.f64 x (sin.f64 y))

Compiler

Compiled 918 to 589 computations (35.8% saved)

simplify76.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4887	958
1	4887	958

prune71.0ms (1.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	73	10	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	10	84

Error

0.0b

Counts

84 → 10

Compiler

Compiled 1189 to 349 computations (70.6% saved)

localize14.0ms (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))

rewrite90.0ms (1.6%)

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:

8.0ms	(*.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)

series380.0ms (6.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

112.0ms	(*.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))
74.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1212 to 763 computations (37% saved)

simplify92.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4915	928
1	4915	928

prune97.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	95	12	107

Error

0.0b

Counts

107 → 12

Compiler

Compiled 2252 to 699 computations (69% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.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))

rewrite86.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 66

Calls

4 calls:

9.0ms	(.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))

Compiler

Compiled 1449 to 639 computations (55.9% saved)

series319.0ms (5.6%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

121.0ms	(cbrt.f64 (pow.f64 (cos.f64 y) 2))
76.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (cos.f64 y) 2))) (cbrt.f64 (cos.f64 y)))
73.0ms	(cbrt.f64 (cos.f64 y))
26.0ms	(pow.f64 (cos.f64 y) 2)

Compiler

Compiled 1095 to 771 computations (29.6% saved)

simplify85.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4907	880
1	4907	880

prune87.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	92	13	105

Error

0.0b

Counts

105 → 13

Compiler

Compiled 1848 to 762 computations (58.8% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(log.f64 (exp.f64 (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))

rewrite59.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

12×	`cbrt-prod_binary64_5224`
10×	`add-cube-cbrt_binary64_5228` `add-sqr-sqrt_binary64_5215` `*-un-lft-identity_binary64_5193`
7×	`log-pow_binary64_5282`
6×	`exp-prod_binary64_5245`
5×	`pow1_binary64_5254`
4×	`add-log-exp_binary64_5232` `add-exp-log_binary64_5231` `add-cbrt-cube_binary64_5229`
3×	`pow1/3_binary64_5275` `log-prod_binary64_5279`
1×	`rem-log-exp_binary64_5234`

Counts

4 → 51

Calls

4 calls:

3.0ms	(log.f64 (exp.f64 (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 1289 to 266 computations (79.4% saved)

series392.0ms (6.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

133.0ms	(log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))
80.0ms	(cbrt.f64 (cos.f64 y))
80.0ms	(cbrt.f64 (cos.f64 y))
74.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1352 to 827 computations (38.8% saved)

simplify39.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4959	701
1	4959	701

prune64.0ms (1.1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	74	14	88

Error

0.0b

Counts

88 → 14

Compiler

Compiled 1781 to 408 computations (77.1% saved)

regimes351.0ms (6.2%)

Accuracy

Total 0.1b remaining (78.7%)

Threshold costs 0.1b (78.7%)

Compiler

Compiled 3368 to 2342 computations (30.5% 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%)

sample2.5s (43.4%)

Algorithm

1×

intervals

Results

578.0ms	2065×	body	1024	valid
507.0ms	4463×	body	128	valid
191.0ms	996×	body	512	valid
62.0ms	469×	body	256	valid
3.0ms	7×	body	2048	valid

Compiler

Compiled 855 to 597 computations (30.2% saved)

Details

analyze371.0ms (6.5%)

sample49.0ms (0.9%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite57.0ms (1%)

series386.0ms (6.8%)

simplify76.0ms (1.3%)

prune71.0ms (1.2%)

localize14.0ms (0.3%)

rewrite90.0ms (1.6%)

series380.0ms (6.7%)

simplify92.0ms (1.6%)

prune97.0ms (1.7%)

localize15.0ms (0.3%)

rewrite86.0ms (1.5%)

series319.0ms (5.6%)

simplify85.0ms (1.5%)

prune87.0ms (1.5%)

localize15.0ms (0.3%)

rewrite59.0ms (1%)

series392.0ms (6.9%)

simplify39.0ms (0.7%)

prune64.0ms (1.1%)

regimes351.0ms (6.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (43.4%)

Profiling