Details

analyze13.0ms (0.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample24.0ms (1.1%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify276.0ms (12.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4979	22
1	4979	22

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

20.8b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.4%)

Local error

Found 6 expressions with local error:

20.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(*.f64 (-.f64 x y) (+.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 y y))
20.6b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite33.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_2091` `*-un-lft-identity_binary64_2069`
10×	`add-exp-log_binary64_2107` `add-cbrt-cube_binary64_2105`
8×	`flip-+_binary64_2043` `associate-/l/_binary64_2016` `frac-times_binary64_2079` `flip3-+_binary64_2072`
7×	`add-cube-cbrt_binary64_2104`
6×	`flip--_binary64_2044` `flip3--_binary64_2073`
5×	`add-log-exp_binary64_2108` `pow1_binary64_2130` `associate-l_binary64_2010`
4×	`associate-l/_binary64_2012` `associate-r/_binary64_2011` `associate-r_binary64_2009`
3×	`times-frac_binary64_2075` `associate-/r*_binary64_2013`
2×	`prod-exp_binary64_2118` `cbrt-unprod_binary64_2102` `cbrt-undiv_binary64_2103` `div-exp_binary64_2120` `associate-/r/_binary64_2015`
1×	`frac-2neg_binary64_2080` `difference-of-squares_binary64_2038` `div-inv_binary64_2066` `clear-num_binary64_2068` `associate-/l_binary64_2014` `-commutative_binary64_2000` `distribute-lft-out_binary64_2020` `+-commutative_binary64_1999` `unswap-sqr_binary64_2037` `distribute-rgt-in_binary64_2019` `distribute-lft-out--_binary64_2021` `pow-prod-down_binary64_2140` `sum-log_binary64_2160` `distribute-lft-in_binary64_2018`

Counts

3 → 73

Calls

6 calls:

13.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
9.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))
0.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
0.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

series346.0ms (15.6%)

Counts

3 → 42

Calls

3 calls:

150.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
104.0ms	(*.f64 (-.f64 x y) (+.f64 x y))
92.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 789 to 645 computations (18.3% saved)

simplify70.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5552	1932

prune96.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	112	3	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	4	116

Error

0.6b

Counts

116 → 4

Compiler

Compiled 2235 to 438 computations (80.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 12 to 12 computations (0% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Error

0.6b

Counts

4 → 4

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

20.0b	(/.f64 (.f64 y y) (.f64 x x))
0.0b	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
0.0b	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
20.0b	(/.f64 (.f64 y y) (.f64 x x))

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-exp-log_binary64_2107` `add-cbrt-cube_binary64_2105`
13×	`prod-exp_binary64_2118` `cbrt-unprod_binary64_2102`
8×	`cbrt-undiv_binary64_2103` `div-exp_binary64_2120`
7×	`add-sqr-sqrt_binary64_2091`
5×	`associate-r_binary64_2009`
4×	`pow1_binary64_2130` `*-un-lft-identity_binary64_2069` `add-cube-cbrt_binary64_2104`
3×	`times-frac_binary64_2075` `associate-l_binary64_2010`
2×	`add-log-exp_binary64_2108` `div-inv_binary64_2066` `unswap-sqr_binary64_2037`
1×	`frac-2neg_binary64_2080` `associate-r/_binary64_2011` `clear-num_binary64_2068` `associate-/l_binary64_2014` `-commutative_binary64_2000` `associate-/r_binary64_2013` `pow-prod-down_binary64_2140`

Counts

2 → 51

Calls

4 calls:

9.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
6.0ms	(/.f64 (.f64 y y) (.f64 x x))
0.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
0.0ms	(/.f64 (.f64 y y) (.f64 x x))

series177.0ms (8%)

Counts

2 → 12

Calls

2 calls:

97.0ms	(.f64 2 (/.f64 (.f64 y y) (*.f64 x x)))
80.0ms	(/.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 264 to 264 computations (0% saved)

simplify64.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4977	723
1	4977	723

prune44.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	1	63
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	64	3	67

Error

0.5b

Counts

67 → 3

Compiler

Compiled 814 to 408 computations (49.9% saved)

regimes135.0ms (6.1%)

Accuracy

Total 4.9b remaining (92.6%)

Threshold costs 0b (0%)

Compiler

Compiled 760 to 431 computations (43.3% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 15 to 9 computations (40% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	50
1	27	50

end0.0ms (0%)

sample883.0ms (39.8%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
164.0ms	8000×	pre	128	true

Compiler

Compiled 335 to 187 computations (44.2% saved)

Pareto

Details

analyze13.0ms (0.6%)

sample24.0ms (1.1%)

simplify276.0ms (12.4%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite33.0ms (1.5%)

series346.0ms (15.6%)

simplify70.0ms (3.1%)

prune96.0ms (4.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.4%)

prune1.0ms (0.1%)

localize7.0ms (0.3%)

rewrite19.0ms (0.9%)

series177.0ms (8%)

simplify64.0ms (2.9%)

prune44.0ms (2%)

regimes135.0ms (6.1%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample883.0ms (39.8%)

Profiling