Details

analyze13.0ms (0.7%)

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)

sample22.0ms (1.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify264.0ms (14.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (171.0ms)

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

Merged error: 15.1b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize13.0ms (0.7%)

Local error

Found 1 expressions with local error:

14.9b

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

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-/l/_binary64_2071`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
4×	`flip3-+_binary64_2127` `frac-times_binary64_2134` `flip-+_binary64_2098`
3×	`flip--_binary64_2099` `flip3--_binary64_2128` `associate-/r_binary64_2068` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130` `-un-lft-identity_binary64_2124`
2×	`cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `pow1_binary64_2185` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `div-inv_binary64_2121` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

1 → 31

Calls

1 calls:

12.0ms

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

series42.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify51.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5617	785

prune35.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	4	35

Merged error: 0.4b

Counts

35 → 4

Compiler

Compiled 788 to 164 computations (79.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))))
0.0b	(.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
14.6b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
14.6b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite77.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

115×	`add-sqr-sqrt_binary64_2146`
96×	`times-frac_binary64_2130`
95×	`*-un-lft-identity_binary64_2124`
57×	`sqrt-prod_binary64_2140` `add-cube-cbrt_binary64_2159`
36×	`associate-l_binary64_2065`
30×	`associate-r_binary64_2064`
18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
13×	`difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
10×	`sqrt-div_binary64_2141`
9×	`unswap-sqr_binary64_2092`
8×	`pow1_binary64_2185`
6×	`associate-/r/_binary64_2070` `distribute-lft-out_binary64_2075` `associate-/r*_binary64_2068`
5×	`cbrt-undiv_binary64_2158` `associate-/l*_binary64_2069` `flip3-+_binary64_2127` `flip-+_binary64_2098` `div-exp_binary64_2175`
4×	`add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
3×	`div-inv_binary64_2121`
2×	`sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204` `associate-/l/_binary64_2071`
1×	`flip--_binary64_2099` `pow-prod-down_binary64_2195` `clear-num_binary64_2123` `flip3--_binary64_2128` `-commutative_binary64_2055` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `div-sub_binary64_2129` `frac-2neg_binary64_2135`

Counts

4 → 183

Calls

4 calls:

35.0ms	(.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
12.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series147.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))))
46.0ms	(.f64 (/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) (/.f64 (+.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 y y)))))
22.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
22.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify92.0ms (5%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4974	5945
1	4974	5945

prune153.0ms (8.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	195	4	199

Merged error: 0.4b

Counts

199 → 4

Compiler

Compiled 6687 to 617 computations (90.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

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

Merged error: 0.4b

Counts

4 → 4

Compiler

Compiled 1 to 3 computations (-200% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	3	3
Total	4	4

Merged error: 0.4b

Counts

4 → 4

Compiler

Compiled 0 to 0 computations (0% saved)

regimes86.0ms (4.7%)

Compiler: Compiled 472 to 251 computations (46.8% saved)

bsearch1.0ms (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%)

sample812.0ms (43.8%)

Algorithm

1×

intervals

Results

313.0ms	8000×	body	128	valid
164.0ms	8000×	pre	128	true

Compiler

Compiled 239 to 127 computations (46.9% saved)

Details

analyze13.0ms (0.7%)

sample22.0ms (1.2%)

simplify264.0ms (14.2%)

prune2.0ms (0.1%)

localize13.0ms (0.7%)

rewrite15.0ms (0.8%)

series42.0ms (2.3%)

simplify51.0ms (2.8%)

prune35.0ms (1.9%)

localize11.0ms (0.6%)

rewrite77.0ms (4.2%)

series147.0ms (7.9%)

simplify92.0ms (5%)

prune153.0ms (8.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune1.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.3%)

prune0.0ms (0%)

regimes86.0ms (4.7%)

bsearch1.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample812.0ms (43.8%)

Profiling