Details

analyze27.0ms (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)

sample14.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	246×	body	128	valid
1.0ms	7×	body	1024	valid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify162.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	55	12
1	55	12

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4157` `*-un-lft-identity_binary64_4121`
1×	`+-commutative_binary64_4053` `sum-log_binary64_4209` `add-sqr-sqrt_binary64_4142` `flip-+_binary64_4095` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `pow1_binary64_4179` `flip3-+_binary64_4124` `distribute-lft-out_binary64_4074`

Counts

1 → 12

Calls

1 calls:

7.0ms

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

series44.0ms (1%)

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5380	259

prune16.0ms (0.4%)

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 282 to 145 computations (48.6% saved)

localize8.0ms (0.2%)

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))))

rewrite55.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`sqrt-prod_binary64_4136` `*-un-lft-identity_binary64_4121`
28×	`add-sqr-sqrt_binary64_4142`
21×	`pow1_binary64_4179`
16×	`sqrt-div_binary64_4137`
14×	`add-cube-cbrt_binary64_4153`
11×	`swap-sqr_binary64_4088`
10×	`sqrt-pow1_binary64_4138` `pow1/2_binary64_4198`
9×	`flip-+_binary64_4095` `flip3-+_binary64_4124` `distribute-lft-out_binary64_4074`
7×	`associate-l_binary64_4064` `associate-r_binary64_4063`
6×	`add-log-exp_binary64_4157` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
5×	`pow-prod-up_binary64_4188`
4×	`unswap-sqr_binary64_4089` `frac-times_binary64_4131`
3×	`pow-sqr_binary64_4094` `pow-prod-down_binary64_4189`
2×	`rem-sqrt-square_binary64_4134` `associate-l/_binary64_4066` `associate-r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `+-commutative_binary64_4053` `pow-plus_binary64_4181` `sqrt-unprod_binary64_4140` `sum-log_binary64_4209` `rem-square-sqrt_binary64_4133` `prod-exp_binary64_4167` `*-commutative_binary64_4054` `pow2_binary64_4199`

Counts

4 → 106

Calls

4 calls:

23.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series335.0ms (7.3%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
122.0ms	(sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
45.0ms	(*.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
36.0ms	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5801	2483

prune133.0ms (2.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0.0b

Counts

122 → 6

Compiler

Compiled 2830 to 1444 computations (49% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (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)))))
0.4b	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (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))))))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite63.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64_4121`
18×	`add-sqr-sqrt_binary64_4142`
14×	`sqrt-div_binary64_4137`
13×	`sqrt-prod_binary64_4136` `cbrt-prod_binary64_4149`
12×	`add-cube-cbrt_binary64_4153` `cbrt-div_binary64_4150`
11×	`associate-r_binary64_4063` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `pow1_binary64_4179`
10×	`associate-l_binary64_4064` `associate-*r/_binary64_4065`
9×	`flip-+_binary64_4095` `flip3-+_binary64_4124`
4×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `frac-times_binary64_4131` `pow-prod-down_binary64_4189` `distribute-lft-out_binary64_4074`
3×	`unswap-sqr_binary64_4089`
2×	`pow1/3_binary64_4200` `-commutative_binary64_4054` `associate-l/_binary64_4066`

Counts

4 → 87

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (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))))))
12.0ms	(*.f64 (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)))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series1.2s (26.6%)

Counts

4 → 12

Calls

4 calls:

429.0ms	(.f64 (sqrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (.f64 (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))))))
394.0ms	(*.f64 (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)))))
200.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
196.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify74.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4961	4388
1	4961	4388

prune195.0ms (4.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

Compiler

Compiled 4567 to 2495 computations (45.4% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.5b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_4149`
20×	`*-un-lft-identity_binary64_4121`
12×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153`
10×	`unpow-prod-down_binary64_4197`
8×	`cbrt-div_binary64_4150`
7×	`sqrt-prod_binary64_4136`
6×	`pow1_binary64_4179`
5×	`add-exp-log_binary64_4156`
4×	`add-log-exp_binary64_4157` `pow1/3_binary64_4200` `add-cbrt-cube_binary64_4154` `pow-pow_binary64_4190` `distribute-lft-out_binary64_4074`
3×	`flip-+_binary64_4095` `flip3-+_binary64_4124` `pow-unpow_binary64_4195`
2×	`sqrt-pow1_binary64_4138`
1×	`sqrt-pow2_binary64_4139` `pow-to-exp_binary64_4187` `pow-exp_binary64_4186` `pow1/2_binary64_4198` `sqr-pow_binary64_4093`

Counts

4 → 73

Calls

4 calls:

13.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series1.0s (22.5%)

Counts

4 → 12

Calls

4 calls:

442.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 4)
203.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
195.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
193.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5168	2302

prune214.0ms (4.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	84	8	92

Merged error: 0.0b

Counts

92 → 8

Compiler

Compiled 4731 to 2750 computations (41.9% saved)

regimes69.0ms (1.5%)

Compiler: Compiled 716 to 481 computations (32.8% 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%)

sample611.0ms (13.3%)

Algorithm

1×

intervals

Results

213.0ms	7676×	body	128	valid
13.0ms	117×	body	1024	valid
11.0ms	95×	body	2048	valid
5.0ms	69×	body	512	valid
2.0ms	43×	body	256	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 249 to 170 computations (31.7% saved)

Details

analyze27.0ms (0.6%)

sample14.0ms (0.3%)

simplify162.0ms (3.5%)

prune2.0ms (0.1%)

localize11.0ms (0.2%)

rewrite8.0ms (0.2%)

series44.0ms (1%)

simplify64.0ms (1.4%)

prune16.0ms (0.4%)

localize8.0ms (0.2%)

rewrite55.0ms (1.2%)

series335.0ms (7.3%)

simplify80.0ms (1.7%)

prune133.0ms (2.9%)

localize13.0ms (0.3%)

rewrite63.0ms (1.4%)

series1.2s (26.6%)

simplify74.0ms (1.6%)

prune195.0ms (4.2%)

localize21.0ms (0.5%)

rewrite46.0ms (1%)

series1.0s (22.5%)

simplify64.0ms (1.4%)

prune214.0ms (4.7%)

regimes69.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample611.0ms (13.3%)

Profiling