Details

analyze58.0ms (2.4%)

Algorithm

1×

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
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample16.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify89.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_5232`
1×	`add-cbrt-cube_binary64_5229` `add-cube-cbrt_binary64_5228` `sum-log_binary64_5284` `flip-+_binary64_5167` `*-un-lft-identity_binary64_5193` `add-exp-log_binary64_5231` `+-commutative_binary64_5123` `flip3-+_binary64_5196` `add-sqr-sqrt_binary64_5215` `pow1_binary64_5254`

Counts

1 → 11

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	(+.f64 (.f64 x x) (.f64 y y))

series87.0ms (3.6%)

Counts

1 → 12

Calls

1 calls:

87.0ms

(+.f64 (*.f64 x x) (*.f64 y y))

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify79.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune18.0ms (0.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Compiler

Compiled 235 to 60 computations (74.5% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

5.6b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
0.0b	(.f64 (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y))))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
5.6b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
5.6b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite23.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_5232` `add-sqr-sqrt_binary64_5215`
6×	`add-cube-cbrt_binary64_5228` `*-un-lft-identity_binary64_5193` `sqrt-prod_binary64_5209` `pow1_binary64_5254`
4×	`add-cbrt-cube_binary64_5229` `sqrt-div_binary64_5210` `flip-+_binary64_5167` `add-exp-log_binary64_5231` `flip3-+_binary64_5196`
2×	`sum-log_binary64_5284` `pow1/2_binary64_5273` `+-commutative_binary64_5123` `sqrt-pow1_binary64_5211` `rem-sqrt-square_binary64_5206`

Counts

4 → 52

Calls

8 calls:

4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
0.0ms	(+.f64 (.f64 x x) (.f64 y y))

series364.0ms (15%)

Counts

4 → 52

Calls

4 calls:

99.0ms	(+.f64 (.f64 x x) (.f64 y y))
91.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
88.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
86.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1440 to 1084 computations (24.7% saved)

simplify59.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5095	1332

prune74.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Error

Counts

107 → 3

Compiler

Compiled 2075 to 355 computations (82.9% saved)

localize10.0ms (0.4%)

Local error

Found 6 expressions with local error:

33.5b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
1.7b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
0.0b	(-.f64 (.f64 x x) (.f64 y y))
0.0b	(-.f64 (.f64 x x) (.f64 y y))
1.7b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
33.5b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))

rewrite43.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64_5215`
70×	`difference-of-squares_binary64_5162`
56×	`times-frac_binary64_5199`
51×	`unpow-prod-down_binary64_5272`
49×	`*-un-lft-identity_binary64_5193`
37×	`sqr-pow_binary64_5165`
25×	`add-cube-cbrt_binary64_5228`
14×	`associate-/l*_binary64_5138`
12×	`distribute-lft-out--_binary64_5145`
8×	`cancel-sign-sub-inv_binary64_5159`
7×	`add-log-exp_binary64_5232`
5×	`add-cbrt-cube_binary64_5229` `add-exp-log_binary64_5231`
4×	`flip3--_binary64_5197` `flip--_binary64_5168` `associate-/r*_binary64_5137`
3×	`pow1_binary64_5254`
2×	`sub-neg_binary64_5186` `associate-/l/_binary64_5140` `associate-/r/_binary64_5139` `diff-log_binary64_5285`
1×	`div-sub_binary64_5198` `div-inv_binary64_5190` `cbrt-undiv_binary64_5227` `clear-num_binary64_5192` `div-exp_binary64_5244` `frac-2neg_binary64_5204`

Counts

3 → 133

Calls

6 calls:

15.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
8.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))
0.0ms	(-.f64 (.f64 x x) (.f64 y y))
0.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

series501.0ms (20.7%)

Counts

3 → 36

Calls

3 calls:

230.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
174.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
97.0ms	(-.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 606 to 516 computations (14.9% saved)

simplify89.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	3865
1	4940	3865

prune145.0ms (6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	169	3	172

Error

Counts

172 → 3

Compiler

Compiled 3555 to 1315 computations (63% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	111
1	57	111

regimes83.0ms (3.4%)

Compiler: Compiled 420 to 320 computations (23.8% saved)

bsearch0.0ms (0%)

regimes88.0ms (3.6%)

Compiler: Compiled 52 to 80 computations (-53.8% saved)

bsearch8.0ms (0.3%)

Steps

Iters	Range		Point
6	7.42355168853735e-40	3.3269389837670964e-39	1.1442197627234586e-39
0	-5.903822608923143e-58	-5.884870811925377e-58	-5.8943467104242605e-58

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes28.0ms (1.2%)

Compiler: Compiled 28 to 50 computations (-78.6% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

Accuracy

Total 0.0b remaining (40%)

Threshold costs 0.0b (40%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 29 to 24 computations (17.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	38
1	19	38

end0.0ms (0%)

sample517.0ms (21.3%)

Algorithm

1×

intervals

Results

185.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 113 to 91 computations (19.5% saved)

Pareto

0.30033968928509797

Details

analyze58.0ms (2.4%)

sample16.0ms (0.7%)

simplify89.0ms (3.7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite6.0ms (0.2%)

series87.0ms (3.6%)

simplify79.0ms (3.3%)

prune18.0ms (0.7%)

localize8.0ms (0.3%)

rewrite23.0ms (0.9%)

series364.0ms (15%)

simplify59.0ms (2.4%)

prune74.0ms (3%)

localize10.0ms (0.4%)

rewrite43.0ms (1.8%)

series501.0ms (20.7%)

simplify89.0ms (3.6%)

prune145.0ms (6%)

simplify4.0ms (0.1%)

regimes83.0ms (3.4%)

bsearch0.0ms (0%)

regimes88.0ms (3.6%)

bsearch8.0ms (0.3%)

regimes28.0ms (1.2%)

bsearch0.0ms (0%)

regimes16.0ms (0.7%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample517.0ms (21.3%)

Profiling