Details

analyze199.0ms (3.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	412	20
1	412	20
0	2	2
1	2	2

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms	236×	body	128	valid
1.0ms	8×	body	2048	valid
1.0ms	9×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	310	10
1	310	10

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

0.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

3×	`add-log-exp_binary64_17849` `*-un-lft-identity_binary64_17810`
1×	`sum-log_binary64_17901` `pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `flip3-+_binary64_17813` `flip-+_binary64_17784` `distribute-lft-out_binary64_17761` `div-sub_binary64_17815` `associate-+r-_binary64_17744` `+-commutative_binary64_17740`

Counts

1 → 13

Calls

1 calls:

9.0ms

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

Compiler

Compiled 196 to 107 computations (45.4% saved)

series117.0ms (2.1%)

Error

0.1b

Counts

1 → 12

Calls

1 calls:

110.0ms

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

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify56.0ms (1%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5187	282

prune27.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.1b

Counts

26 → 4

Compiler

Compiled 300 to 180 computations (40% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 x y) 2))
0.0b	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.0b	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.2b	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

rewrite221.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`*-un-lft-identity_binary64_17810` `sqrt-prod_binary64_17826`
30×	`add-sqr-sqrt_binary64_17832`
21×	`pow1_binary64_17871`
16×	`sqrt-div_binary64_17827`
14×	`add-cube-cbrt_binary64_17845`
11×	`swap-sqr_binary64_17777`
10×	`pow1/2_binary64_17890` `sqrt-pow1_binary64_17828`
9×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `distribute-lft-out_binary64_17761`
7×	`associate-l_binary64_17751` `associate-r_binary64_17750`
6×	`add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846`
5×	`pow-prod-up_binary64_17880`
4×	`rem-sqrt-square_binary64_17823` `frac-times_binary64_17820` `unswap-sqr_binary64_17778`
3×	`pow-prod-down_binary64_17881` `pow-sqr_binary64_17783`
2×	`associate-l/_binary64_17753` `associate-r/_binary64_17752`
1×	`pow2_binary64_17891` `pow-plus_binary64_17873` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `sqrt-unprod_binary64_17830` `sqr-abs_binary64_17825` `rem-square-sqrt_binary64_17822` `*-commutative_binary64_17741` `sum-log_binary64_17901` `div-sub_binary64_17815` `associate-+r-_binary64_17744` `+-commutative_binary64_17740`

Counts

4 → 108

Calls

4 calls:

24.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
12.0ms	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
9.0ms	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 3028 to 1731 computations (42.8% saved)

series470.0ms (8.4%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

127.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
122.0ms	(+.f64 x (/.f64 (-.f64 x y) 2))
98.0ms	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
89.0ms	(sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 1662 to 1309 computations (21.2% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5099	2226

prune173.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	146	3	149
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	147	6	153

Error

0.0b

Counts

153 → 6

Compiler

Compiled 2847 to 1655 computations (41.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
0.2b	(.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

rewrite266.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`*-un-lft-identity_binary64_17810`
18×	`add-sqr-sqrt_binary64_17832`
14×	`sqrt-div_binary64_17827`
13×	`cbrt-prod_binary64_17841` `sqrt-prod_binary64_17826`
12×	`add-cube-cbrt_binary64_17845` `cbrt-div_binary64_17842`
11×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846` `associate-r_binary64_17750`
10×	`associate-r/_binary64_17752` `associate-l*_binary64_17751`
9×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
4×	`add-log-exp_binary64_17849` `distribute-lft-out_binary64_17761` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `frac-times_binary64_17820`
3×	`unswap-sqr_binary64_17778`
2×	`pow1/3_binary64_17892` `associate-l/_binary64_17753` `-commutative_binary64_17741`

Counts

4 → 87

Calls

4 calls:

28.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))))
15.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
9.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 3795 to 2233 computations (41.2% saved)

series930.0ms (16.7%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

301.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))) (.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))))
240.0ms	(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))))
167.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))
146.0ms	(cbrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))

Compiler

Compiled 3952 to 3221 computations (18.5% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5853	4045

prune268.0ms (4.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Error

0.0b

Counts

129 → 6

Compiler

Compiled 4523 to 2769 computations (38.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.1b	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
0.2b	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3))
0.4b	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3)

rewrite444.0ms (8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

121×	`sqrt-prod_binary64_17826`
74×	`add-sqr-sqrt_binary64_17832`
39×	`*-un-lft-identity_binary64_17810`
36×	`sqrt-div_binary64_17827`
29×	`unpow-prod-down_binary64_17889` `cube-prod_binary64_17838`
26×	`associate-r_binary64_17750`
25×	`add-cube-cbrt_binary64_17845`
24×	`unswap-sqr_binary64_17778`
12×	`pow1_binary64_17871` `sqrt-pow1_binary64_17828`
10×	`add-exp-log_binary64_17848` `associate-l_binary64_17751`
9×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
8×	`cube-div_binary64_17839`
7×	`distribute-lft-out_binary64_17761` `add-cbrt-cube_binary64_17846`
6×	`pow1/2_binary64_17890`
5×	`pow-pow_binary64_17882` `sqr-pow_binary64_17782`
4×	`add-log-exp_binary64_17849` `frac-times_binary64_17820` `rem-sqrt-square_binary64_17823`
3×	`pow-unpow_binary64_17887` `prod-exp_binary64_17859`
2×	`pow-to-exp_binary64_17879` `pow-exp_binary64_17878` `unpow3_binary64_17876` `cube-mult_binary64_17840` `associate-l/_binary64_17753` `associate-r/_binary64_17752`
1×	`rem-cube-cbrt_binary64_17833` `sqrt-pow2_binary64_17829` `pow-prod-up_binary64_17880` `cbrt-unprod_binary64_17843` `*-commutative_binary64_17741`

Counts

4 → 169

Calls

4 calls:

33.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3))
12.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3)
10.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
9.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))

Compiler

Compiled 6029 to 3891 computations (35.5% saved)

series760.0ms (13.7%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

334.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3)
132.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
131.0ms	(sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2))))
116.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) (pow.f64 (sqrt.f64 (sqrt.f64 (+.f64 x (/.f64 (-.f64 x y) 2)))) 3))

Compiler

Compiled 2351 to 1988 computations (15.4% saved)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4922	4151
1	4922	4151

prune315.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	207	6	213

Error

0.0b

Counts

213 → 6

Compiler

Compiled 4962 to 3126 computations (37% saved)

regimes227.0ms (4.1%)

Accuracy

Total 0.0b remaining (51.7%)

Threshold costs 0.0b (51.7%)

Compiler

Compiled 2316 to 1676 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample759.0ms (13.7%)

Algorithm

1×

intervals

Results

175.0ms	7434×	body	128	valid
18.0ms	180×	body	1024	valid
16.0ms	171×	body	2048	valid
8.0ms	142×	body	512	valid
3.0ms	73×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 142 to 106 computations (25.4% saved)

Details

analyze199.0ms (3.6%)

sample15.0ms (0.3%)

simplify18.0ms (0.3%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite30.0ms (0.5%)

series117.0ms (2.1%)

simplify56.0ms (1%)

prune27.0ms (0.5%)

localize8.0ms (0.1%)

rewrite221.0ms (4%)

series470.0ms (8.4%)

simplify54.0ms (1%)

prune173.0ms (3.1%)

localize13.0ms (0.2%)

rewrite266.0ms (4.8%)

series930.0ms (16.7%)

simplify73.0ms (1.3%)

prune268.0ms (4.8%)

localize12.0ms (0.2%)

rewrite444.0ms (8%)

series760.0ms (13.7%)

simplify97.0ms (1.8%)

prune315.0ms (5.7%)

regimes227.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end1.0ms (0%)

sample759.0ms (13.7%)

Profiling