Details

analyze35.0ms (0.6%)

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)

sample30.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	250×	body	128	valid
0.0ms	2×	body	2048	valid
0.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify170.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868` `*-un-lft-identity_binary64_3829`
1×	`flip3-+_binary64_3832` `sum-log_binary64_3920` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `pow1_binary64_3890` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `add-sqr-sqrt_binary64_3851`

Counts

1 → 12

Calls

1 calls:

11.0ms

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

series39.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify123.0ms (2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5354	255

prune29.0ms (0.5%)

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 275 to 143 computations (48% saved)

localize20.0ms (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))))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite99.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3860`
35×	`*-un-lft-identity_binary64_3829`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864`
11×	`pow1_binary64_3890`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `swap-sqr_binary64_3796` `distribute-lft-out_binary64_3780` `pow1/3_binary64_3911`
7×	`associate-r_binary64_3769` `associate-l_binary64_3770`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `associate-l/_binary64_3772` `pow-sqr_binary64_3802` `associate-r/_binary64_3771`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 95

Calls

4 calls:

34.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
12.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
12.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
12.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series775.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
208.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
192.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
163.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5400	3175

prune332.0ms (5.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

Compiler

Compiled 4208 to 2233 computations (46.9% saved)

localize16.0ms (0.3%)

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))))

rewrite96.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod_binary64_3845` `*-un-lft-identity_binary64_3829`
30×	`add-sqr-sqrt_binary64_3851`
21×	`pow1_binary64_3890`
16×	`sqrt-div_binary64_3846`
14×	`add-cube-cbrt_binary64_3864`
11×	`swap-sqr_binary64_3796`
10×	`pow1/2_binary64_3909` `sqrt-pow1_binary64_3847`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `distribute-lft-out_binary64_3780`
7×	`associate-r_binary64_3769` `associate-l_binary64_3770`
6×	`add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
5×	`pow-prod-up_binary64_3899`
4×	`unswap-sqr_binary64_3797` `rem-sqrt-square_binary64_3842` `frac-times_binary64_3839`
3×	`pow-prod-down_binary64_3900` `pow-sqr_binary64_3802`
2×	`associate-l/_binary64_3772` `associate-r/_binary64_3771`
1×	`sum-log_binary64_3920` `sqr-abs_binary64_3844` `prod-exp_binary64_3878` `rem-square-sqrt_binary64_3841` `+-commutative_binary64_3759` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910` `sqrt-unprod_binary64_3849`

Counts

4 → 107

Calls

4 calls:

37.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
12.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
12.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
12.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series274.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
99.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
36.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
30.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify175.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4941	2487
1	4941	2487

prune229.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0.0b

Counts

125 → 6

Compiler

Compiled 2812 to 1431 computations (49.1% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.2b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite99.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_3829`
16×	`add-sqr-sqrt_binary64_3851`
14×	`sqrt-div_binary64_3846`
13×	`associate-r_binary64_3769`
12×	`sqrt-prod_binary64_3845` `add-cube-cbrt_binary64_3864` `cbrt-prod_binary64_3860`
11×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
10×	`associate-*l/_binary64_3772` `cbrt-div_binary64_3861`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803`
8×	`associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `pow-prod-down_binary64_3900` `prod-exp_binary64_3878` `frac-times_binary64_3839` `distribute-lft-out_binary64_3780` `cbrt-unprod_binary64_3862`
2×	`unswap-sqr_binary64_3797` `pow1/3_binary64_3911` `associate-r/_binary64_3771` `-commutative_binary64_3760`

Counts

4 → 86

Calls

4 calls:

37.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
18.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
11.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series1.1s (17.4%)

Counts

4 → 12

Calls

4 calls:

407.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
278.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))))
191.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
187.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify209.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	5014	4457

prune331.0ms (5.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

Compiler

Compiled 4461 to 2425 computations (45.6% saved)

regimes251.0ms (4.1%)

Compiler: Compiled 1613 to 1069 computations (33.7% 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%)

sample1.5s (24.9%)

Algorithm

1×

intervals

Results

362.0ms	7715×	body	128	valid
19.0ms	88×	body	2048	valid
17.0ms	97×	body	1024	valid
8.0ms	62×	body	512	valid
3.0ms	38×	body	256	valid

Compiler

Compiled 548 to 366 computations (33.2% saved)

Details

analyze35.0ms (0.6%)

sample30.0ms (0.5%)

simplify170.0ms (2.8%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite12.0ms (0.2%)

series39.0ms (0.6%)

simplify123.0ms (2%)

prune29.0ms (0.5%)

localize20.0ms (0.3%)

rewrite99.0ms (1.6%)

series775.0ms (12.7%)

simplify131.0ms (2.2%)

prune332.0ms (5.4%)

localize16.0ms (0.3%)

rewrite96.0ms (1.6%)

series274.0ms (4.5%)

simplify175.0ms (2.9%)

prune229.0ms (3.8%)

localize23.0ms (0.4%)

rewrite99.0ms (1.6%)

series1.1s (17.4%)

simplify209.0ms (3.4%)

prune331.0ms (5.4%)

regimes251.0ms (4.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.5s (24.9%)

Profiling