Details

analyze356.0ms (9.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	40
1	134	40
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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.4%	11.4%	12
61.3%	24.7%	14%	13
65%	19.9%	15.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	52	10
1	52	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 z x)))
0.0b	(*.f64 y (+.f64 z x))

rewrite40.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
4×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-log-exp_binary64_4891` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `associate-r_binary64_4792`
3×	`associate-l_binary64_4793`
2×	`distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `flip3-+_binary64_4855` `associate-*r/_binary64_4794` `flip-+_binary64_4826` `associate-+r+_binary64_4784`
1×	`pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `distribute-lft-out_binary64_4803` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

2 → 36

Calls

2 calls:

8.0ms	(*.f64 y (+.f64 z x))
3.0ms	(+.f64 x (*.f64 y (+.f64 z x)))

Compiler

Compiled 491 to 140 computations (71.5% saved)

series217.0ms (5.7%)

Error

0.0b

Counts

2 → 33

Calls

2 calls:

118.0ms	(+.f64 x (*.f64 y (+.f64 z x)))
81.0ms	(*.f64 y (+.f64 z x))

Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify72.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4971	641
1	4971	641

prune41.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 670 to 149 computations (77.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
0.0b	(+.f64 (.f64 y z) (.f64 y x))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64_4891`
4×	`sum-log_binary64_4943` `*-un-lft-identity_binary64_4852`
2×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `flip3-+_binary64_4855` `flip-+_binary64_4826` `distribute-lft-out_binary64_4803` `+-commutative_binary64_4782`
1×	`associate-+r+_binary64_4784`

Counts

2 → 26

Calls

2 calls:

6.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
4.0ms	(+.f64 (.f64 y z) (.f64 y x))

Compiler

Compiled 460 to 95 computations (79.3% saved)

series237.0ms (6.2%)

Error

Counts

2 → 33

Calls

2 calls:

125.0ms	(+.f64 x (+.f64 (.f64 y z) (.f64 y x)))
98.0ms	(+.f64 (.f64 y z) (.f64 y x))

Compiler

Compiled 598 to 338 computations (43.5% saved)

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4979	584
1	4979	584

prune30.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	4	63

Error

Counts

63 → 4

Compiler

Compiled 564 to 108 computations (80.9% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (+.f64 x z))
0.2b	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
3.2b	(sqrt.f64 (*.f64 y (+.f64 x z)))
3.2b	(sqrt.f64 (*.f64 y (+.f64 x z)))

rewrite117.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_4913`
32×	`sqrt-pow1_binary64_4870`
23×	`pow-prod-down_binary64_4923`
20×	`associate-*r/_binary64_4794`
16×	`sqrt-div_binary64_4869`
14×	`add-sqr-sqrt_binary64_4874`
12×	`pow1/2_binary64_4932` `*-un-lft-identity_binary64_4852`
10×	`add-cube-cbrt_binary64_4887` `pow-prod-up_binary64_4922`
9×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
8×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `associate-r_binary64_4792`
7×	`associate-l_binary64_4793`
6×	`sqrt-prod_binary64_4868` `pow-sqr_binary64_4825`
4×	`add-log-exp_binary64_4891` `frac-times_binary64_4862` `swap-sqr_binary64_4819`
2×	`prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `associate-l/_binary64_4795` `-commutative_binary64_4783`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `sqrt-unprod_binary64_4872` `rem-square-sqrt_binary64_4864` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `distribute-lft-out_binary64_4803`

Counts

4 → 106

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
7.0ms	(*.f64 y (+.f64 x z))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))
5.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))

Compiler

Compiled 2259 to 547 computations (75.8% saved)

series348.0ms (9.1%)

Error

Counts

4 → 48

Calls

4 calls:

98.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 x z))) (sqrt.f64 (*.f64 y (+.f64 x z))))
91.0ms	(*.f64 y (+.f64 x z))
68.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))
68.0ms	(sqrt.f64 (*.f64 y (+.f64 x z)))

Compiler

Compiled 2070 to 1140 computations (44.9% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4947	1403
1	4947	1403

prune90.0ms (2.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	154	4	158

Error

Counts

158 → 4

Compiler

Compiled 2328 to 477 computations (79.5% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (+.f64 x z)))
0.0b	(*.f64 y (+.f64 x z))
0.2b	(pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3)
38.0b	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3))

rewrite90.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_4874` `*-un-lft-identity_binary64_4852`
12×	`add-cube-cbrt_binary64_4887` `cbrt-prod_binary64_4883`
7×	`pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
6×	`add-log-exp_binary64_4891` `unpow-prod-down_binary64_4931` `cube-prod_binary64_4880`
4×	`flip3-+_binary64_4855` `cube-div_binary64_4881` `flip-+_binary64_4826` `associate-r_binary64_4792`
3×	`pow-unpow_binary64_4929` `associate-l_binary64_4793`
2×	`cbrt-div_binary64_4884` `unpow3_binary64_4918` `cube-mult_binary64_4882` `sqr-pow_binary64_4824` `distribute-rgt-in_binary64_4802` `distribute-lft-in_binary64_4801` `associate-*r/_binary64_4794` `associate-+r+_binary64_4784`
1×	`pow1/3_binary64_4934` `rem-cbrt-cube_binary64_4876` `pow-pow_binary64_4924` `pow-to-exp_binary64_4921` `pow-exp_binary64_4920` `rem-cube-cbrt_binary64_4875` `pow-prod-down_binary64_4923` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `unswap-sqr_binary64_4820` `distribute-lft-out_binary64_4803` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

4 → 84

Calls

4 calls:

7.0ms	(*.f64 y (+.f64 x z))
4.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3))
4.0ms	(pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3)
4.0ms	(+.f64 x (*.f64 y (+.f64 x z)))

Compiler

Compiled 1622 to 564 computations (65.2% saved)

series773.0ms (20.3%)

Error

Counts

4 → 87

Calls

4 calls:

333.0ms	(pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3)
121.0ms	(+.f64 x (*.f64 y (+.f64 x z)))
118.0ms	(cbrt.f64 (pow.f64 (+.f64 x (*.f64 y (+.f64 x z))) 3))
82.0ms	(*.f64 y (+.f64 x z))

Compiler

Compiled 5363 to 3992 computations (25.6% saved)

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5228	3993

prune137.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	171	4	175

Error

Counts

175 → 4

Compiler

Compiled 3321 to 1273 computations (61.7% saved)

regimes156.0ms (4.1%)

Accuracy

Total 0.0b remaining (73.5%)

Threshold costs 0.0b (73.5%)

Compiler

Compiled 1028 to 798 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample774.0ms (20.3%)

Algorithm

1×

intervals

Results

193.0ms	8000×	body	128	valid
13.0ms	587×	body	128	invalid

Compiler

Compiled 267 to 208 computations (22.1% saved)

Details

analyze356.0ms (9.3%)

sample16.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite40.0ms (1.1%)

series217.0ms (5.7%)

simplify72.0ms (1.9%)

prune41.0ms (1.1%)

localize6.0ms (0.2%)

rewrite27.0ms (0.7%)

series237.0ms (6.2%)

simplify90.0ms (2.4%)

prune30.0ms (0.8%)

localize7.0ms (0.2%)

rewrite117.0ms (3.1%)

series348.0ms (9.1%)

simplify78.0ms (2%)

prune90.0ms (2.4%)

localize8.0ms (0.2%)

rewrite90.0ms (2.4%)

series773.0ms (20.3%)

simplify86.0ms (2.2%)

prune137.0ms (3.6%)

regimes156.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample774.0ms (20.3%)

Profiling