Details

analyze19.0ms (0.5%)

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
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify179.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	95	7
1	95	7

prune3.0ms (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: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_8186`
3×	`*-un-lft-identity_binary64_8165` `add-log-exp_binary64_8201`
2×	`difference-of-squares_binary64_8134`
1×	`add-cbrt-cube_binary64_8198` `distribute-lft-out--_binary64_8119` `times-frac_binary64_8171` `diff-log_binary64_8254` `pow1_binary64_8223` `sub-neg_binary64_8158` `add-cube-cbrt_binary64_8197` `flip--_binary64_8140` `add-exp-log_binary64_8200` `flip3--_binary64_8169`

Counts

1 → 14

Calls

1 calls:

8.0ms

(-.f64 x (/.f64 y 200))

series39.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(-.f64 x (/.f64 y 200))

simplify125.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4891	216
1	4891	216

prune19.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

Compiler

Compiled 201 to 140 computations (30.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (/.f64 y 200))
0.0b	(sqrt.f64 (-.f64 x (/.f64 y 200)))
0.0b	(sqrt.f64 (-.f64 x (/.f64 y 200)))
0.3b	(*.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))) (sqrt.f64 (-.f64 x (/.f64 y 200))))

rewrite57.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64_8186`
46×	`sqrt-prod_binary64_8180`
34×	`*-un-lft-identity_binary64_8165`
21×	`pow1_binary64_8223`
16×	`sqrt-div_binary64_8181`
14×	`difference-of-squares_binary64_8134` `add-cube-cbrt_binary64_8197`
13×	`swap-sqr_binary64_8132`
10×	`sqrt-pow1_binary64_8182` `pow1/2_binary64_8242`
9×	`associate-l_binary64_8108` `distribute-lft-out--_binary64_8119` `associate-r_binary64_8107` `flip--_binary64_8140` `flip3--_binary64_8169`
7×	`times-frac_binary64_8171`
6×	`add-cbrt-cube_binary64_8198` `add-exp-log_binary64_8200` `add-log-exp_binary64_8201`
5×	`pow-prod-up_binary64_8232`
4×	`frac-times_binary64_8175` `unswap-sqr_binary64_8133`
3×	`pow-prod-down_binary64_8233` `pow-sqr_binary64_8138`
2×	`rem-sqrt-square_binary64_8178` `associate-r/_binary64_8109` `associate-l/_binary64_8110`
1×	`sqrt-unprod_binary64_8184` `diff-log_binary64_8254` `sub-neg_binary64_8158` `*-commutative_binary64_8098` `prod-exp_binary64_8211` `pow2_binary64_8243` `rem-square-sqrt_binary64_8177` `pow-plus_binary64_8225` `cbrt-unprod_binary64_8195`

Counts

4 → 118

Calls

4 calls:

22.0ms	(*.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))) (sqrt.f64 (-.f64 x (/.f64 y 200))))
8.0ms	(sqrt.f64 (-.f64 x (/.f64 y 200)))
8.0ms	(-.f64 x (/.f64 y 200))
7.0ms	(sqrt.f64 (-.f64 x (/.f64 y 200)))

series244.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt.f64 (-.f64 x (/.f64 y 200)))
78.0ms	(sqrt.f64 (-.f64 x (/.f64 y 200)))
45.0ms	(*.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))) (sqrt.f64 (-.f64 x (/.f64 y 200))))
41.0ms	(-.f64 x (/.f64 y 200))

simplify81.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5146	1916

prune134.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0b

Counts

133 → 4

Compiler

Compiled 2191 to 1527 computations (30.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
0.1b	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
0.1b	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3))
0.4b	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3)

rewrite95.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

149×	`sqrt-prod_binary64_8180`
109×	`add-sqr-sqrt_binary64_8186`
39×	`*-un-lft-identity_binary64_8165`
36×	`sqrt-div_binary64_8181`
33×	`cube-prod_binary64_8190` `unpow-prod-down_binary64_8241`
30×	`associate-r_binary64_8107`
25×	`add-cube-cbrt_binary64_8197`
24×	`unswap-sqr_binary64_8133`
14×	`difference-of-squares_binary64_8134`
12×	`associate-l_binary64_8108` `pow1_binary64_8223` `sqrt-pow1_binary64_8182`
10×	`add-exp-log_binary64_8200`
9×	`flip--_binary64_8140` `flip3--_binary64_8169`
8×	`cube-div_binary64_8191`
7×	`add-cbrt-cube_binary64_8198` `distribute-lft-out--_binary64_8119` `times-frac_binary64_8171`
6×	`pow1/2_binary64_8242`
5×	`sqr-pow_binary64_8137` `pow-pow_binary64_8234`
4×	`rem-sqrt-square_binary64_8178` `frac-times_binary64_8175` `add-log-exp_binary64_8201`
3×	`pow-unpow_binary64_8239` `prod-exp_binary64_8211`
2×	`pow-to-exp_binary64_8231` `associate-r/_binary64_8109` `cube-mult_binary64_8192` `unpow3_binary64_8228` `pow-exp_binary64_8230` `associate-l/_binary64_8110`
1×	`sqrt-pow2_binary64_8183` `*-commutative_binary64_8098` `pow-prod-up_binary64_8232` `rem-cube-cbrt_binary64_8187` `cbrt-unprod_binary64_8195`

Counts

4 → 183

Calls

4 calls:

35.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3))
12.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3)
10.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
9.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))

series1.0s (29.2%)

Counts

4 → 12

Calls

4 calls:

513.0ms	(pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3)
243.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
239.0ms	(sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200))))
46.0ms	(*.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) (pow.f64 (sqrt.f64 (sqrt.f64 (-.f64 x (/.f64 y 200)))) 3))

simplify115.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4864	3618
1	4864	3618

prune257.0ms (7.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

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

Merged error: 0b

Counts

199 → 4

Compiler

Compiled 4180 to 3164 computations (24.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200)))
0.0b	(sqrt.f64 (/.f64 y 200))
0.0b	(sqrt.f64 (/.f64 y 200))
0.1b	(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))))

rewrite60.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64_8186`
39×	`sqrt-prod_binary64_8180`
32×	`*-un-lft-identity_binary64_8165`
22×	`times-frac_binary64_8171`
20×	`add-cube-cbrt_binary64_8197`
11×	`associate-r_binary64_8107`
8×	`pow1_binary64_8223`
6×	`add-cbrt-cube_binary64_8198` `difference-of-squares_binary64_8134` `add-exp-log_binary64_8200` `add-log-exp_binary64_8201`
5×	`associate-l_binary64_8108`
4×	`flip3-+_binary64_8168` `rem-sqrt-square_binary64_8178` `distribute-lft-out_binary64_8118` `frac-times_binary64_8175` `flip-+_binary64_8139`
3×	`flip--_binary64_8140` `flip3--_binary64_8169`
2×	`distribute-lft-out--_binary64_8119` `sub-neg_binary64_8158` `associate-r/_binary64_8109` `div-inv_binary64_8162` `sqrt-pow1_binary64_8182` `sqrt-div_binary64_8181` `associate-l/_binary64_8110` `pow1/2_binary64_8242`
1×	`sum-log_binary64_8253` `+-commutative_binary64_8097` `pow-prod-down_binary64_8233` `*-commutative_binary64_8098` `prod-exp_binary64_8211` `distribute-rgt-in_binary64_8117` `cbrt-unprod_binary64_8195` `distribute-lft-in_binary64_8116` `unswap-sqr_binary64_8133`

Counts

4 → 101

Calls

4 calls:

30.0ms	(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))))
11.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200)))
4.0ms	(sqrt.f64 (/.f64 y 200))
4.0ms	(sqrt.f64 (/.f64 y 200))

series343.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(*.f64 (+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))) (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200))))
65.0ms	(+.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 y 200)))
35.0ms	(sqrt.f64 (/.f64 y 200))
33.0ms	(sqrt.f64 (/.f64 y 200))

simplify104.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4902	1942
1	4902	1942

prune132.0ms (3.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0b

Counts

117 → 4

Compiler

Compiled 2371 to 1530 computations (35.5% saved)

regimes50.0ms (1.4%)

Compiler: Compiled 220 to 198 computations (10% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample413.0ms (11.6%)

Algorithm

1×

intervals

Results

170.0ms

8000×

body

128

valid

Compiler

Compiled 61 to 56 computations (8.2% saved)

Details

analyze19.0ms (0.5%)

sample11.0ms (0.3%)

simplify179.0ms (5%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

rewrite9.0ms (0.3%)

series39.0ms (1.1%)

simplify125.0ms (3.5%)

prune19.0ms (0.5%)

localize7.0ms (0.2%)

rewrite57.0ms (1.6%)

series244.0ms (6.8%)

simplify81.0ms (2.3%)

prune134.0ms (3.8%)

localize10.0ms (0.3%)

rewrite95.0ms (2.7%)

series1.0s (29.2%)

simplify115.0ms (3.2%)

prune257.0ms (7.2%)

localize9.0ms (0.2%)

rewrite60.0ms (1.7%)

series343.0ms (9.6%)

simplify104.0ms (2.9%)

prune132.0ms (3.7%)

regimes50.0ms (1.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample413.0ms (11.6%)

Profiling