Details

analyze24.0ms (0.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample13.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	251×	body	128	valid
0.0ms	3×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify173.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	55	12
1	55	12

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_5239` `add-log-exp_binary64_5278`
1×	`add-cbrt-cube_binary64_5275` `sum-log_binary64_5330` `add-cube-cbrt_binary64_5274` `flip-+_binary64_5213` `pow1_binary64_5300` `+-commutative_binary64_5169` `add-sqr-sqrt_binary64_5261` `distribute-lft-out_binary64_5190` `flip3-+_binary64_5242` `add-exp-log_binary64_5277`

Counts

1 → 12

Calls

1 calls:

7.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series39.0ms (1%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5763	255

prune25.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

Compiler

Compiled 446 to 257 computations (42.4% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite51.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_5270`
35×	`*-un-lft-identity_binary64_5239`
23×	`add-sqr-sqrt_binary64_5261`
18×	`cbrt-div_binary64_5271`
15×	`add-cube-cbrt_binary64_5274`
11×	`pow1_binary64_5300`
9×	`flip-+_binary64_5213` `distribute-lft-out_binary64_5190` `swap-sqr_binary64_5206` `pow1/3_binary64_5321` `flip3-+_binary64_5242`
7×	`associate-r_binary64_5179` `associate-l_binary64_5180`
6×	`add-exp-log_binary64_5277`
4×	`add-cbrt-cube_binary64_5275` `unswap-sqr_binary64_5207` `frac-times_binary64_5249` `add-log-exp_binary64_5278`
2×	`pow-prod-up_binary64_5309` `associate-r/_binary64_5181` `associate-l/_binary64_5182` `pow-prod-down_binary64_5310` `pow-sqr_binary64_5212`
1×	`pow-plus_binary64_5302` `pow2_binary64_5320` `prod-exp_binary64_5288` `*-commutative_binary64_5170` `cbrt-unprod_binary64_5272`

Counts

4 → 95

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series845.0ms (22.5%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
207.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
204.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
184.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4962	3175
1	4962	3175

prune195.0ms (5.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0.0b

Counts

111 → 5

Compiler

Compiled 4404 to 2363 computations (46.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
0.0b	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.0b	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.4b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod_binary64_5255` `*-un-lft-identity_binary64_5239`
30×	`add-sqr-sqrt_binary64_5261`
21×	`pow1_binary64_5300`
16×	`sqrt-div_binary64_5256`
14×	`add-cube-cbrt_binary64_5274`
11×	`swap-sqr_binary64_5206`
10×	`sqrt-pow1_binary64_5257` `pow1/2_binary64_5319`
9×	`flip-+_binary64_5213` `distribute-lft-out_binary64_5190` `flip3-+_binary64_5242`
7×	`associate-r_binary64_5179` `associate-l_binary64_5180`
6×	`add-cbrt-cube_binary64_5275` `add-log-exp_binary64_5278` `add-exp-log_binary64_5277`
5×	`pow-prod-up_binary64_5309`
4×	`unswap-sqr_binary64_5207` `rem-sqrt-square_binary64_5252` `frac-times_binary64_5249`
3×	`pow-prod-down_binary64_5310` `pow-sqr_binary64_5212`
2×	`associate-r/_binary64_5181` `associate-l/_binary64_5182`
1×	`pow-plus_binary64_5302` `sum-log_binary64_5330` `sqr-abs_binary64_5254` `sqrt-unprod_binary64_5259` `pow2_binary64_5320` `+-commutative_binary64_5169` `prod-exp_binary64_5288` `rem-square-sqrt_binary64_5251` `*-commutative_binary64_5170` `cbrt-unprod_binary64_5272`

Counts

4 → 107

Calls

4 calls:

19.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series335.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
120.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
44.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
37.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify77.0ms (2%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5498	2436

prune155.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	116	3	119
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	117	7	124

Merged error: 0b

Counts

124 → 7

Compiler

Compiled 3399 to 1826 computations (46.3% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.4b	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
0.4b	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite88.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-div_binary64_5271`
44×	`sqrt-div_binary64_5256`
35×	`flip-+_binary64_5213` `flip3-+_binary64_5242`
32×	`frac-times_binary64_5249`
31×	`cbrt-prod_binary64_5270`
28×	`add-sqr-sqrt_binary64_5261`
24×	`*-un-lft-identity_binary64_5239`
16×	`associate-*r/_binary64_5181`
14×	`add-cube-cbrt_binary64_5274` `sqrt-prod_binary64_5255` `associate-l_binary64_5180`
11×	`associate-r_binary64_5179` `pow1_binary64_5300` `add-exp-log_binary64_5277`
10×	`associate-*l/_binary64_5182`
7×	`add-cbrt-cube_binary64_5275`
6×	`unswap-sqr_binary64_5207`
5×	`distribute-lft-out_binary64_5190` `pow-prod-down_binary64_5310`
4×	`prod-exp_binary64_5288` `cbrt-unprod_binary64_5272` `pow1/3_binary64_5321` `add-log-exp_binary64_5278`
2×	`*-commutative_binary64_5170`
1×	`rem-3cbrt-lft_binary64_5264` `pow3_binary64_5322`

Counts

4 → 124

Calls

4 calls:

31.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))
20.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
7.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series585.0ms (15.5%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
199.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
133.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
48.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))))

simplify107.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5412	5708

prune242.0ms (6.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	136	7	143

Merged error: 0b

Counts

143 → 7

Compiler

Compiled 5786 to 3040 computations (47.5% saved)

regimes55.0ms (1.5%)

Compiler: Compiled 479 to 331 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms (0%)

sample522.0ms (13.9%)

Algorithm

1×

intervals

Results

194.0ms	7704×	body	128	valid
9.0ms	83×	body	2048	valid
8.0ms	99×	body	1024	valid
5.0ms	76×	body	512	valid
2.0ms	38×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 170 to 120 computations (29.4% saved)

Details

analyze24.0ms (0.7%)

sample13.0ms (0.3%)

simplify173.0ms (4.6%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite8.0ms (0.2%)

series39.0ms (1%)

simplify64.0ms (1.7%)

prune25.0ms (0.7%)

localize12.0ms (0.3%)

rewrite51.0ms (1.4%)

series845.0ms (22.5%)

simplify63.0ms (1.7%)

prune195.0ms (5.2%)

localize8.0ms (0.2%)

rewrite56.0ms (1.5%)

series335.0ms (8.9%)

simplify77.0ms (2%)

prune155.0ms (4.1%)

localize11.0ms (0.3%)

rewrite88.0ms (2.3%)

series585.0ms (15.5%)

simplify107.0ms (2.9%)

prune242.0ms (6.4%)

regimes55.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample522.0ms (13.9%)

Profiling