Details

analyze13.0ms (0.4%)

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)

sample21.0ms (0.7%)

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)

simplify234.0ms (7.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4946	22
1	4946	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: 21.6b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
21.4b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`associate-/l/_binary64_2048`
7×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
5×	`flip3-+_binary64_2102` `flip-+_binary64_2073`
4×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `add-log-exp_binary64_2135` `*-un-lft-identity_binary64_2099` `frac-times_binary64_2109`
3×	`times-frac_binary64_2105` `associate-/r*_binary64_2045` `flip3--_binary64_2103` `flip--_binary64_2074`
2×	`cbrt-undiv_binary64_2130` `associate-r/_binary64_2043` `pow1_binary64_2157` `div-exp_binary64_2147` `associate-l/_binary64_2044` `associate-/r/_binary64_2047`
1×	`sum-log_binary64_2187` `frac-2neg_binary64_2110` `prod-exp_binary64_2145` `+-commutative_binary64_2031` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `div-inv_binary64_2096` `cbrt-unprod_binary64_2129`

Counts

2 → 42

Calls

2 calls:

14.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

series127.0ms (4%)

Counts

2 → 6

Calls

2 calls:

88.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
38.0ms	(+.f64 (.f64 x x) (.f64 y y))

simplify32.0ms (1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5025	969

prune53.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	42	6	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	7	49

Merged error: 0.2b

Counts

49 → 7

Compiler

Compiled 1162 to 244 computations (79% saved)

localize11.0ms (0.4%)

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)))))
20.4b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
20.4b	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite88.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

115×	`add-sqr-sqrt_binary64_2120`
96×	`times-frac_binary64_2105`
95×	`*-un-lft-identity_binary64_2099`
57×	`add-cube-cbrt_binary64_2131` `sqrt-prod_binary64_2114`
36×	`associate-l_binary64_2042`
30×	`associate-r_binary64_2041`
18×	`add-cbrt-cube_binary64_2132` `add-exp-log_binary64_2134`
13×	`difference-of-squares_binary64_2068` `distribute-lft-out--_binary64_2053`
10×	`sqrt-div_binary64_2115`
9×	`unswap-sqr_binary64_2067`
8×	`pow1_binary64_2157`
6×	`distribute-lft-out_binary64_2052` `associate-/r/_binary64_2047` `associate-/r*_binary64_2045`
5×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `div-exp_binary64_2147` `associate-/l*_binary64_2046` `flip-+_binary64_2073`
4×	`prod-exp_binary64_2145` `add-log-exp_binary64_2135` `cbrt-unprod_binary64_2129`
3×	`div-inv_binary64_2096`
2×	`associate-/l/_binary64_2048` `rem-sqrt-square_binary64_2112` `pow1/2_binary64_2176` `sqrt-pow1_binary64_2116`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `pow-prod-down_binary64_2167` `flip3--_binary64_2103` `flip--_binary64_2074` `clear-num_binary64_2098` `frac-times_binary64_2109`

Counts

4 → 183

Calls

4 calls:

38.0ms	(.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)))))
13.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))))
5.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

series298.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

108.0ms	(/.f64 (-.f64 x y) (sqrt.f64 (+.f64 (.f64 x x) (.f64 y y))))
99.0ms	(.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)))))
46.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
45.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

simplify94.0ms (3%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4967	5945
1	4967	5945

prune179.0ms (5.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	195	7	202

Merged error: 0.2b

Counts

202 → 7

Compiler

Compiled 6791 to 661 computations (90.3% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
21.4b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
21.4b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
21.4b	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

rewrite103.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-sqr-sqrt_binary64_2120`
90×	`times-frac_binary64_2105`
84×	`cbrt-prod_binary64_2127`
67×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099`
24×	`difference-of-squares_binary64_2068`
21×	`associate-l_binary64_2042` `associate-r_binary64_2041` `swap-sqr_binary64_2066`
14×	`associate-/r/_binary64_2047`
12×	`associate-/l*_binary64_2046` `add-exp-log_binary64_2134`
11×	`pow1_binary64_2157`
10×	`add-cbrt-cube_binary64_2132`
9×	`associate-/r*_binary64_2045` `unswap-sqr_binary64_2067`
7×	`flip3-+_binary64_2102` `div-inv_binary64_2096` `flip-+_binary64_2073`
6×	`pow1/3_binary64_2178` `associate-/l/_binary64_2048`
4×	`cbrt-div_binary64_2128` `add-log-exp_binary64_2135`
3×	`cbrt-undiv_binary64_2130` `div-exp_binary64_2147` `frac-2neg_binary64_2110` `div-sub_binary64_2104` `flip3--_binary64_2103` `flip--_binary64_2074` `clear-num_binary64_2098`
2×	`pow-prod-down_binary64_2167` `pow-prod-up_binary64_2166` `pow-sqr_binary64_2072`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `prod-exp_binary64_2145` `pow2_binary64_2177` `pow-plus_binary64_2159` `frac-times_binary64_2109` `cbrt-unprod_binary64_2129`

Counts

4 → 201

Calls

4 calls:

29.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
10.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
9.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

series429.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(.f64 (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))) (cbrt.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (*.f64 y y)))))
71.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
66.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))
66.0ms	(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y y)))

simplify140.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4925	8541
1	4925	8541

prune260.0ms (8.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	213	0	213
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	213	7	220

Merged error: 0.2b

Counts

220 → 7

Compiler

Compiled 12965 to 972 computations (92.5% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	3	3
Total	7	7

Merged error: 0.2b

Counts

7 → 7

Compiler

Compiled 0 to 0 computations (0% saved)

regimes134.0ms (4.2%)

Compiler: Compiled 1033 to 524 computations (49.3% 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%)

sample904.0ms (28.5%)

Algorithm

1×

intervals

Results

302.0ms	8000×	body	128	valid
164.0ms	8000×	pre	128	true

Compiler

Compiled 426 to 218 computations (48.8% saved)

Details

analyze13.0ms (0.4%)

sample21.0ms (0.7%)

simplify234.0ms (7.4%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite23.0ms (0.7%)

series127.0ms (4%)

simplify32.0ms (1%)

prune53.0ms (1.7%)

localize11.0ms (0.4%)

rewrite88.0ms (2.8%)

series298.0ms (9.4%)

simplify94.0ms (3%)

prune179.0ms (5.6%)

localize12.0ms (0.4%)

rewrite103.0ms (3.2%)

series429.0ms (13.5%)

simplify140.0ms (4.4%)

prune260.0ms (8.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune1.0ms (0%)

regimes134.0ms (4.2%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (28.5%)

Profiling