Details

analyze202.0ms (2.6%)

Algorithm

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

Compiler

Compiled 18 to 16 computations (11.1% saved)

sample95.0ms (1.2%)

Algorithm

2×

intervals

Results

13.0ms	494×	body	128	valid
1.0ms	11×	body	1024	valid
0.0ms	4×	body	2048	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 2330 to 2587 computations (-11% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	159	12
1	159	12

prune3.0ms (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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3186` `*-un-lft-identity_binary64_3147`
1×	`sum-log_binary64_3238` `pow1_binary64_3208` `add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `flip3-+_binary64_3150` `flip-+_binary64_3121` `distribute-lft-out_binary64_3098` `+-commutative_binary64_3077`

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)

series115.0ms (1.5%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

107.0ms

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

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify61.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5086	302

prune21.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Error

0.0b

Counts

22 → 3

Compiler

Compiled 285 to 141 computations (50.5% 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)))))

rewrite213.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
15×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 87

Calls

4 calls:

9.0ms	(.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))))))
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)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 3758 to 1915 computations (49% saved)

series1.8s (23.6%)

Error

0.0b

Counts

4 → 49

Calls

4 calls:

512.0ms	(.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))))))
416.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
409.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
390.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4470 to 2881 computations (35.5% saved)

simplify84.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4898	3755
1	4898	3755

prune275.0ms (3.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Error

0.0b

Counts

139 → 5

Compiler

Compiled 5081 to 2649 computations (47.9% 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))))))

rewrite214.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

30×	`add-sqr-sqrt_binary64_3169`
24×	`sqrt-prod_binary64_3163`
21×	`pow1_binary64_3208`
16×	`sqrt-div_binary64_3164`
14×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
10×	`pow1/2_binary64_3227` `sqrt-pow1_binary64_3165`
9×	`flip3-+_binary64_3150` `flip-+_binary64_3121`
8×	`swap-sqr_binary64_3114`
6×	`add-exp-log_binary64_3185` `add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `associate-l_binary64_3088` `associate-r_binary64_3087`
5×	`pow-prod-up_binary64_3217`
4×	`rem-sqrt-square_binary64_3160` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
3×	`pow-prod-down_binary64_3218` `pow-sqr_binary64_3120`
2×	`associate-l/_binary64_3090` `associate-r/_binary64_3089`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `sqrt-unprod_binary64_3167` `sqr-abs_binary64_3162` `rem-square-sqrt_binary64_3159` `*-commutative_binary64_3078` `sum-log_binary64_3238` `+-commutative_binary64_3077`

Counts

4 → 99

Calls

4 calls:

10.0ms	(.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))))))
5.0ms	(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)))))

Compiler

Compiled 3144 to 1616 computations (48.6% saved)

series466.0ms (6%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

118.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
117.0ms	(sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
109.0ms	(.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))))))
95.0ms	(+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))

Compiler

Compiled 1438 to 929 computations (35.4% saved)

simplify68.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5143	2263

prune154.0ms (2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	131	5	136

Error

0.0b

Counts

136 → 5

Compiler

Compiled 2779 to 1401 computations (49.6% saved)

localize14.0ms (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))))))
0.5b	(.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)))))

rewrite282.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`cbrt-prod_binary64_3178`
24×	`add-sqr-sqrt_binary64_3169`
18×	`cbrt-div_binary64_3179`
16×	`add-cube-cbrt_binary64_3182` `*-un-lft-identity_binary64_3147`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229` `flip3-+_binary64_3150` `flip-+_binary64_3121`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-l_binary64_3088` `associate-r_binary64_3087`
4×	`add-log-exp_binary64_3186` `add-cbrt-cube_binary64_3183` `frac-times_binary64_3157` `unswap-sqr_binary64_3115`
3×	`sqrt-prod_binary64_3163`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `sqrt-div_binary64_3164`
1×	`pow2_binary64_3228` `pow-plus_binary64_3210` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `*-commutative_binary64_3078`

Counts

4 → 90

Calls

4 calls:

9.0ms	(.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 (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)))))
2.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 4975 to 2622 computations (47.3% saved)

series1.7s (22.5%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

506.0ms	(.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))))))
385.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))
372.0ms	(cbrt.f64 (sqrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x))))))
369.0ms	(cbrt.f64 (+.f64 x (*.f64 1/2 (fabs.f64 (-.f64 y x)))))

Compiler

Compiled 5063 to 3183 computations (37.1% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4877	3524
1	4877	3524

prune376.0ms (4.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	132	6	138

Error

Counts

138 → 6

Compiler

Compiled 6355 to 3402 computations (46.5% saved)

regimes236.0ms (3.1%)

Accuracy

Total 0.0b remaining (82.9%)

Threshold costs 0.0b (82.9%)

Compiler

Compiled 2930 to 1792 computations (38.8% 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%)

sample1.1s (14.5%)

Algorithm

1×

intervals

Results

203.0ms	7714×	body	128	valid
10.0ms	111×	body	1024	valid
9.0ms	83×	body	2048	valid
4.0ms	60×	body	512	valid
1.0ms	32×	body	256	valid

Compiler

Compiled 987 to 607 computations (38.5% saved)

Details

analyze202.0ms (2.6%)

sample95.0ms (1.2%)

simplify18.0ms (0.2%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite20.0ms (0.3%)

series115.0ms (1.5%)

simplify61.0ms (0.8%)

prune21.0ms (0.3%)

localize10.0ms (0.1%)

rewrite213.0ms (2.8%)

series1.8s (23.6%)

simplify84.0ms (1.1%)

prune275.0ms (3.6%)

localize8.0ms (0.1%)

rewrite214.0ms (2.8%)

series466.0ms (6%)

simplify68.0ms (0.9%)

prune154.0ms (2%)

localize14.0ms (0.2%)

rewrite282.0ms (3.7%)

series1.7s (22.5%)

simplify98.0ms (1.3%)

prune376.0ms (4.9%)

regimes236.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.1s (14.5%)

Profiling