Details

analyze122.0ms (2.2%)

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

10.0ms	250×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	159	12
1	159	12

prune2.0ms (0%)

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

0.0b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 12

Calls

1 calls:

6.0ms

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

Compiler

Compiled 209 to 102 computations (51.2% saved)

series67.0ms (1.2%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

62.0ms

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

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify62.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5086	302

prune19.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Error

0.0b

Counts

22 → 4

Compiler

Compiled 307 to 154 computations (49.8% saved)

localize9.0ms (0.2%)

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)))))

rewrite187.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 87

Calls

4 calls:

10.0ms	(.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)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3758 to 1915 computations (49% saved)

series1.3s (22.5%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

365.0ms	(.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))))))
278.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
266.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
264.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4587 to 2959 computations (35.5% saved)

simplify86.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4894	3810
1	4894	3810

prune228.0ms (4.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	136	5	141

Error

0.0b

Counts

141 → 5

Compiler

Compiled 5168 to 2698 computations (47.8% 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))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.0b	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
0.4b	(.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))))))

rewrite162.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

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)

series362.0ms (6.5%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

96.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
94.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
72.0ms	(.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))))))
69.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))

Compiler

Compiled 1846 to 1207 computations (34.6% saved)

simplify96.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5004	2577

prune142.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	135	5	140

Error

0.0b

Counts

140 → 5

Compiler

Compiled 3059 to 1572 computations (48.6% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
0.4b	(cbrt.f64 (sqrt.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)))))

rewrite142.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`cbrt-prod_binary64_3860`
10×	`add-cube-cbrt_binary64_3864` `add-sqr-sqrt_binary64_3851` `*-un-lft-identity_binary64_3829`
8×	`cbrt-div_binary64_3861`
6×	`sqrt-prod_binary64_3845`
4×	`pow1/3_binary64_3911` `pow1_binary64_3890` `add-log-exp_binary64_3868` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `flip3-+_binary64_3832` `flip-+_binary64_3803` `sqrt-div_binary64_3846`

Counts

4 → 58

Calls

4 calls:

4.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
3.0ms	(cbrt.f64 (sqrt.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 3090 to 1637 computations (47% saved)

series1.1s (20%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

273.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
270.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
252.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
238.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))

Compiler

Compiled 5304 to 3282 computations (38.1% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4920	2544
1	4920	2544

prune207.0ms (3.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Error

0.0b

Counts

105 → 5

Compiler

Compiled 4946 to 2654 computations (46.3% saved)

regimes175.0ms (3.1%)

Accuracy

Total 0.0b remaining (81.4%)

Threshold costs 0.0b (81.4%)

Compiler

Compiled 2408 to 1519 computations (36.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms (0%)

sample1.0s (18.1%)

Algorithm

1×

intervals

Results

189.0ms	7738×	body	128	valid
13.0ms	92×	body	1024	valid
8.0ms	75×	body	2048	valid
4.0ms	58×	body	512	valid
2.0ms	37×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 813 to 516 computations (36.5% saved)

Details

analyze122.0ms (2.2%)

sample19.0ms (0.3%)

simplify14.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite18.0ms (0.3%)

series67.0ms (1.2%)

simplify62.0ms (1.1%)

prune19.0ms (0.3%)

localize9.0ms (0.2%)

rewrite187.0ms (3.3%)

series1.3s (22.5%)

simplify86.0ms (1.5%)

prune228.0ms (4.1%)

localize8.0ms (0.1%)

rewrite162.0ms (2.9%)

series362.0ms (6.5%)

simplify96.0ms (1.7%)

prune142.0ms (2.6%)

localize13.0ms (0.2%)

rewrite142.0ms (2.5%)

series1.1s (20%)

simplify56.0ms (1%)

prune207.0ms (3.7%)

regimes175.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.0s (18.1%)

Profiling