Details

analyze700.0ms (16.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	251×	body	128	valid
2.0ms	51×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify106.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 (+.f64 y z) 2) t)
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_4192` `add-log-exp_binary64_4209`
5×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205`
3×	`associate-l_binary64_4111` `flip-+_binary64_4144` `associate-r_binary64_4110` `flip3-+_binary64_4173`
2×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `associate-*r/_binary64_4112` `+-commutative_binary64_4100` `sum-log_binary64_4261` `associate-+l+_binary64_4103`
1×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `*-commutative_binary64_4101` `pow-prod-down_binary64_4241` `unswap-sqr_binary64_4138`

Counts

3 → 46

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
6.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

series111.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

54.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
39.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
17.0ms	(+.f64 (*.f64 (+.f64 y z) 2) t)

simplify30.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5106	974

prune58.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	50	5	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	5	56

Error

0.0b

Counts

56 → 5

Compiler

Compiled 1161 to 678 computations (41.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 (+.f64 y z) 2) x)
0.0b	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
0.0b	(+.f64 (.f64 y 5) (.f64 x t))

rewrite28.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64_4113`
10×	`add-log-exp_binary64_4209`
8×	`pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
7×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
4×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170` `sum-log_binary64_4261` `add-cube-cbrt_binary64_4205` `frac-add_binary64_4178`
3×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `associate-r_binary64_4110` `pow-prod-down_binary64_4241`
2×	`+-commutative_binary64_4100`
1×	`associate-l_binary64_4111` `associate-+r+_binary64_4102` `*-commutative_binary64_4101`

Counts

3 → 48

Calls

3 calls:

13.0ms	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
7.0ms	(.f64 (.f64 (+.f64 y z) 2) x)
4.0ms	(+.f64 (.f64 y 5) (.f64 x t))

series108.0ms (2.5%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
30.0ms	(.f64 (.f64 (+.f64 y z) 2) x)
28.0ms	(+.f64 (.f64 y 5) (.f64 x t))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4961	1221
1	4961	1221

prune61.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Error

0.0b

Counts

62 → 5

Compiler

Compiled 1378 to 739 computations (46.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4201`
23×	`add-sqr-sqrt_binary64_4192`
15×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
11×	`pow1_binary64_4231`
9×	`pow1/3_binary64_4252`
6×	`swap-sqr_binary64_4137` `associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110`
4×	`add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209` `unswap-sqr_binary64_4138`
2×	`pow-prod-up_binary64_4240` `pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
1×	`pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `*-commutative_binary64_4101`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series353.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

100.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
89.0ms	(cbrt.f64 x)
84.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)

simplify61.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune83.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	85	5	90

Error

0.0b

Counts

90 → 5

Compiler

Compiled 1996 to 969 computations (51.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.3b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

rewrite66.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_4192`
24×	`sqrt-prod_binary64_4186`
21×	`pow1_binary64_4231`
16×	`sqrt-div_binary64_4187`
14×	`*-un-lft-identity_binary64_4170` `add-cube-cbrt_binary64_4205`
10×	`pow1/2_binary64_4250` `sqrt-pow1_binary64_4188`
9×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
8×	`swap-sqr_binary64_4137`
6×	`associate-l_binary64_4111` `add-exp-log_binary64_4208` `associate-r_binary64_4110` `add-cbrt-cube_binary64_4206` `add-log-exp_binary64_4209`
5×	`pow-prod-up_binary64_4240`
4×	`frac-times_binary64_4180` `rem-sqrt-square_binary64_4183` `unswap-sqr_binary64_4138`
3×	`pow-prod-down_binary64_4241` `pow-sqr_binary64_4143`
2×	`associate-r/_binary64_4112` `associate-l/_binary64_4113` `associate-+l+_binary64_4103`
1×	`distribute-lft-in_binary64_4119` `distribute-rgt-in_binary64_4120` `sqr-abs_binary64_4185` `pow-plus_binary64_4233` `prod-exp_binary64_4219` `cbrt-unprod_binary64_4203` `pow2_binary64_4251` `sqrt-unprod_binary64_4190` `rem-square-sqrt_binary64_4182` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `sum-log_binary64_4261`

Counts

4 → 101

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
10.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
9.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
9.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series817.0ms (18.9%)

Counts

4 → 12

Calls

4 calls:

361.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
350.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
55.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
50.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4971	3289
1	4971	3289

prune157.0ms (3.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	110	8	118

Error

0.0b

Counts

118 → 8

Compiler

Compiled 3833 to 2311 computations (39.7% saved)

regimes213.0ms (5%)

Accuracy

Total 0.0b remaining (46.9%)

Threshold costs 0.0b (46.9%)

Compiler

Compiled 2513 to 2006 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.1s (25.5%)

Algorithm

1×

intervals

Results

312.0ms	7726×	body	128	valid
76.0ms	1856×	body	128	invalid
19.0ms	136×	body	1024	valid
9.0ms	82×	body	512	valid
4.0ms	56×	body	256	valid

Compiler

Compiled 526 to 420 computations (20.2% saved)

Details

analyze700.0ms (16.2%)

sample23.0ms (0.5%)

simplify106.0ms (2.5%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite29.0ms (0.7%)

series111.0ms (2.6%)

simplify30.0ms (0.7%)

prune58.0ms (1.3%)

localize10.0ms (0.2%)

rewrite28.0ms (0.7%)

series108.0ms (2.5%)

simplify70.0ms (1.6%)

prune61.0ms (1.4%)

localize12.0ms (0.3%)

rewrite15.0ms (0.3%)

series353.0ms (8.2%)

simplify61.0ms (1.4%)

prune83.0ms (1.9%)

localize14.0ms (0.3%)

rewrite66.0ms (1.5%)

series817.0ms (18.9%)

simplify69.0ms (1.6%)

prune157.0ms (3.6%)

regimes213.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (25.5%)

Profiling