Details

analyze72.0ms (1.5%)

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
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample24.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify128.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite32.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_2503` `pow1_binary64_2526`
9×	`add-cbrt-cube_binary64_2501`
8×	`add-log-exp_binary64_2504` `add-sqr-sqrt_binary64_2487`
7×	`*-un-lft-identity_binary64_2465` `add-cube-cbrt_binary64_2500`
3×	`unpow-prod-down_binary64_2544` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `pow-unpow_binary64_2542` `associate-l_binary64_2406` `cbrt-unprod_binary64_2498`
2×	`flip3-+_binary64_2468` `+-commutative_binary64_2395` `sum-log_binary64_2556` `flip-+_binary64_2439`
1×	`-commutative_binary64_2396` `unpow2_binary64_2530` `pow-exp_binary64_2533` `unswap-sqr_binary64_2433` `pow-to-exp_binary64_2534` `sqr-pow_binary64_2437` `pow-pow_binary64_2537` `associate-r*_binary64_2405`

Counts

4 → 59

Calls

8 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
5.0ms	(+.f64 (.f64 a a) (.f64 b b))
0.0ms	(+.f64 (.f64 a a) (.f64 b b))

series691.0ms (14.9%)

Counts

4 → 51

Calls

4 calls:

384.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
189.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
93.0ms	(+.f64 (.f64 a a) (.f64 b b))
25.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1326 to 1165 computations (12.1% saved)

simplify100.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune141.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 2194 to 1088 computations (50.4% saved)

localize16.0ms (0.3%)

Local error

Found 8 expressions with local error:

3.9b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
0.0b	(.f64 4 (.f64 b b))
0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
0.0b	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
0.0b	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
0.0b	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
3.9b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite46.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
18×	`add-log-exp_binary64_2504` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
9×	`sum-log_binary64_2556`
7×	`*-un-lft-identity_binary64_2465`
6×	`add-sqr-sqrt_binary64_2487`
5×	`add-cube-cbrt_binary64_2500`
4×	`associate-l_binary64_2406`
2×	`flip3-+_binary64_2468` `-commutative_binary64_2396` `+-commutative_binary64_2395` `flip-+_binary64_2439` `associate-r*_binary64_2405`
1×	`associate-+l+_binary64_2398` `unswap-sqr_binary64_2433` `associate-+r+_binary64_2397` `distribute-lft-out_binary64_2416`

Counts

4 → 75

Calls

8 calls:

13.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
10.0ms	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
5.0ms	(.f64 4 (.f64 b b))
0.0ms	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))

series807.0ms (17.4%)

Counts

4 → 45

Calls

4 calls:

368.0ms	(+.f64 (+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
315.0ms	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
93.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
31.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1392 to 1201 computations (13.7% saved)

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4981	2235
1	4981	2235

prune144.0ms (3.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	120	2	122

Error

Counts

122 → 2

Compiler

Compiled 3110 to 1933 computations (37.8% saved)

localize12.0ms (0.3%)

Local error

Found 6 expressions with local error:

2.2b	(.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2))))
0.0b	(.f64 (.f64 a a) 2)
0.0b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2)))) 1)
0.0b	(-.f64 (.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2)))) 1)
0.0b	(.f64 (.f64 a a) 2)
2.2b	(.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2))))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `pow1_binary64_2526`
8×	`*-un-lft-identity_binary64_2465` `add-sqr-sqrt_binary64_2487`
7×	`associate-r_binary64_2405`
6×	`add-cube-cbrt_binary64_2500` `prod-exp_binary64_2514` `pow-prod-down_binary64_2536` `cbrt-unprod_binary64_2498`
5×	`add-log-exp_binary64_2504`
3×	`cancel-sign-sub-inv_binary64_2431`
2×	`distribute-lft-in_binary64_2414` `-commutative_binary64_2396` `associate-r/_binary64_2407` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `associate--l+_binary64_2402` `associate-l_binary64_2406`
1×	`flip3-+_binary64_2468` `flip--_binary64_2440` `flip-+_binary64_2439` `sub-neg_binary64_2458` `diff-log_binary64_2557` `distribute-lft-out_binary64_2416` `flip3--_binary64_2469`

Counts

3 → 59

Calls

6 calls:

11.0ms	(-.f64 (.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2)))) 1)
11.0ms	(.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2))))
6.0ms	(.f64 (.f64 a a) 2)
0.0ms	(-.f64 (.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2)))) 1)
0.0ms	(.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2))))

series493.0ms (10.6%)

Counts

3 → 30

Calls

3 calls:

281.0ms	(-.f64 (.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2)))) 1)
188.0ms	(.f64 (.f64 b b) (+.f64 4 (+.f64 (.f64 b b) (.f64 (*.f64 a a) 2))))
24.0ms	(.f64 (.f64 a a) 2)

Compiler

Compiled 753 to 682 computations (9.4% saved)

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5026	1668

prune85.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Error

Counts

91 → 2

Compiler

Compiled 1797 to 923 computations (48.6% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	317	735
1	317	735

regimes215.0ms (4.6%)

Compiler: Compiled 2644 to 1839 computations (30.4% saved)

bsearch0.0ms (0%)

regimes108.0ms (2.3%)

Compiler: Compiled 992 to 764 computations (23% saved)

bsearch0.0ms (0%)

regimes63.0ms (1.3%)

Compiler: Compiled 385 to 333 computations (13.5% saved)

bsearch0.0ms (0%)

regimes58.0ms (1.2%)

Compiler: Compiled 184 to 176 computations (4.3% saved)

bsearch40.0ms (0.9%)

Steps

Iters	Range		Point
9	0.023951678011460076	9239.210347607355	0.9449220269269785
9	-621.3516607826381	-6.780726789477935e-05	-0.947910129905006

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes41.0ms (0.9%)

Compiler: Compiled 124 to 136 computations (-9.7% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.7%)

Compiler: Compiled 72 to 92 computations (-27.8% saved)

bsearch0.0ms (0%)

regimes20.0ms (0.4%)

Compiler: Compiled 10 to 26 computations (-160% saved)

bsearch0.0ms (0%)

regimes15.0ms (0.3%)

Accuracy

Total 0.0b remaining (78.9%)

Threshold costs 0.0b (78.9%)

Compiler

Compiled 8 to 20 computations (-150% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 142 to 98 computations (31% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	188
1	71	188

end0.0ms (0%)

sample1.1s (23.3%)

Algorithm

1×

intervals

Results

333.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 644 to 455 computations (29.3% saved)

Pareto

0.9118206704944172

Details

analyze72.0ms (1.5%)

sample24.0ms (0.5%)

simplify128.0ms (2.7%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite32.0ms (0.7%)

series691.0ms (14.9%)

simplify100.0ms (2.2%)

prune141.0ms (3%)

localize16.0ms (0.3%)

rewrite46.0ms (1%)

series807.0ms (17.4%)

simplify71.0ms (1.5%)

prune144.0ms (3.1%)

localize12.0ms (0.3%)

rewrite33.0ms (0.7%)

series493.0ms (10.6%)

simplify40.0ms (0.9%)

prune85.0ms (1.8%)

simplify13.0ms (0.3%)

regimes215.0ms (4.6%)

bsearch0.0ms (0%)

regimes108.0ms (2.3%)

bsearch0.0ms (0%)

regimes63.0ms (1.3%)

bsearch0.0ms (0%)

regimes58.0ms (1.2%)

bsearch40.0ms (0.9%)

regimes41.0ms (0.9%)

bsearch0.0ms (0%)

regimes33.0ms (0.7%)

bsearch0.0ms (0%)

regimes20.0ms (0.4%)

bsearch0.0ms (0%)

regimes15.0ms (0.3%)

bsearch7.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.3%)

Profiling