Details

analyze145.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	246	24
1	246	24
0	2	2
1	2	2

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)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	247×	body	128	valid
1.0ms	5×	body	1024	valid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	159	12
1	159	12

prune4.0ms (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

0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5573` `*-un-lft-identity_binary64_5534`
1×	`sum-log_binary64_5625` `pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570` `add-cube-cbrt_binary64_5569` `add-sqr-sqrt_binary64_5556` `flip3-+_binary64_5537` `flip-+_binary64_5508` `distribute-lft-out_binary64_5485` `+-commutative_binary64_5464`

Counts

1 → 12

Calls

1 calls:

17.0ms

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

Compiler

Compiled 209 to 102 computations (51.2% saved)

series102.0ms (1.4%)

Error

0.1b

Counts

1 → 9

Calls

1 calls:

93.0ms

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

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5086	302

prune35.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	5	22

Error

0.0b

Counts

22 → 5

Compiler

Compiled 339 to 174 computations (48.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

rewrite274.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
18×	`cbrt-div_binary64_5566`
15×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616` `flip3-+_binary64_5537` `flip-+_binary64_5508`
6×	`add-exp-log_binary64_5572` `swap-sqr_binary64_5501` `associate-l_binary64_5475` `associate-r_binary64_5474`
4×	`add-log-exp_binary64_5573` `add-cbrt-cube_binary64_5570` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`pow-prod-down_binary64_5605` `pow-prod-up_binary64_5604` `pow-sqr_binary64_5507` `associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`pow2_binary64_5615` `pow-plus_binary64_5597` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3758 to 1915 computations (49% saved)

series1.5s (19.8%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

421.0ms	(.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
348.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
337.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
280.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4654 to 3002 computations (35.5% saved)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4906	3965
1	4906	3965

prune275.0ms (3.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	134	4	138
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	134	9	143

Error

0.0b

Counts

143 → 9

Compiler

Compiled 5379 to 2818 computations (47.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
0.1b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.1b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

rewrite181.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_5556`
24×	`sqrt-prod_binary64_5550`
21×	`pow1_binary64_5595`
16×	`sqrt-div_binary64_5551`
14×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
10×	`pow1/2_binary64_5614` `sqrt-pow1_binary64_5552`
9×	`flip3-+_binary64_5537` `flip-+_binary64_5508`
8×	`swap-sqr_binary64_5501`
6×	`add-exp-log_binary64_5572` `add-log-exp_binary64_5573` `add-cbrt-cube_binary64_5570` `associate-l_binary64_5475` `associate-r_binary64_5474`
5×	`pow-prod-up_binary64_5604`
4×	`rem-sqrt-square_binary64_5547` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
3×	`pow-prod-down_binary64_5605` `pow-sqr_binary64_5507`
2×	`associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`pow2_binary64_5615` `pow-plus_binary64_5597` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `sqrt-unprod_binary64_5554` `sqr-abs_binary64_5549` `rem-square-sqrt_binary64_5546` `*-commutative_binary64_5465` `sum-log_binary64_5625` `+-commutative_binary64_5464`

Counts

4 → 99

Calls

4 calls:

11.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
3.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3144 to 1616 computations (48.6% saved)

series455.0ms (6.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

129.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
126.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
87.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
75.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))

Compiler

Compiled 1846 to 1207 computations (34.6% saved)

simplify122.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5004	2577

prune193.0ms (2.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	135	9	144

Error

0.0b

Counts

144 → 9

Compiler

Compiled 3145 to 1628 computations (48.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
0.3b	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.6b	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

rewrite275.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_5556`
14×	`sqrt-div_binary64_5551`
12×	`add-cube-cbrt_binary64_5569` `-un-lft-identity_binary64_5534` `associate-r*_binary64_5474`
11×	`pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
10×	`cbrt-div_binary64_5566` `sqrt-prod_binary64_5550` `associate-*l/_binary64_5477`
9×	`flip3-+_binary64_5537` `flip-+_binary64_5508` `cbrt-prod_binary64_5565`
7×	`associate-l_binary64_5475`
4×	`add-log-exp_binary64_5573` `pow-prod-down_binary64_5605` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `frac-times_binary64_5544`
2×	`pow1/3_binary64_5616` `unswap-sqr_binary64_5502` `-commutative_binary64_5465` `associate-r/_binary64_5476`

Counts

4 → 82

Calls

4 calls:

26.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
14.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
5.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3977 to 2114 computations (46.8% saved)

series1.6s (21%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

657.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))))) (sqrt.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))
320.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
288.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
203.0ms	(.f64 (sqrt.f64 (+.f64 x (.f64 1/2 (fabs.f64 (-.f64 y x))))) (fabs.f64 (cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))))

Compiler

Compiled 5214 to 3401 computations (34.8% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5752	5513

prune263.0ms (3.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	130	9	139

Error

0.0b

Counts

139 → 9

Compiler

Compiled 5522 to 3002 computations (45.6% saved)

regimes233.0ms (3.1%)

Accuracy

Total 0.0b remaining (83.2%)

Threshold costs 0.0b (83.2%)

Compiler

Compiled 2702 to 1732 computations (35.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms (0%)

sample1.4s (18.5%)

Algorithm

1×

intervals

Results

250.0ms	7714×	body	128	valid
12.0ms	86×	body	2048	valid
11.0ms	96×	body	1024	valid
6.0ms	75×	body	512	valid
2.0ms	29×	body	256	valid

Compiler

Compiled 911 to 587 computations (35.6% saved)

Details

analyze145.0ms (1.9%)

sample19.0ms (0.3%)

simplify28.0ms (0.4%)

prune4.0ms (0.1%)

localize11.0ms (0.1%)

rewrite41.0ms (0.5%)

series102.0ms (1.4%)

simplify89.0ms (1.2%)

prune35.0ms (0.5%)

localize10.0ms (0.1%)

rewrite274.0ms (3.7%)

series1.5s (19.8%)

simplify128.0ms (1.7%)

prune275.0ms (3.7%)

localize8.0ms (0.1%)

rewrite181.0ms (2.4%)

series455.0ms (6.1%)

simplify122.0ms (1.6%)

prune193.0ms (2.6%)

localize12.0ms (0.2%)

rewrite275.0ms (3.7%)

series1.6s (21%)

simplify123.0ms (1.6%)

prune263.0ms (3.5%)

regimes233.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (18.5%)

Profiling