Details

analyze78.0ms (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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

Compiler

Compiled 18 to 10 computations (44.4% saved)

sample16.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 35 to 21 computations (40% saved)

simplify304.0ms (5.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4936	25
1	4936	25

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: 18.5b

Counts

2 → 1

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
18.3b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite74.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`flip-+_binary64_11846` `frac-times_binary64_11882` `flip3-+_binary64_11875`
31×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
30×	`associate-*l/_binary64_11817`
27×	`*-un-lft-identity_binary64_11872`
26×	`associate-/r/_binary64_11820`
18×	`associate-*r/_binary64_11816`
15×	`pow1_binary64_11930`
13×	`prod-exp_binary64_11918` `cbrt-unprod_binary64_11902`
11×	`add-sqr-sqrt_binary64_11893`
9×	`associate-r_binary64_11814` `distribute-lft-out_binary64_11825`
8×	`add-cube-cbrt_binary64_11904`
6×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `swap-sqr_binary64_11839`
5×	`associate-l_binary64_11815`
4×	`pow-prod-down_binary64_11940`
3×	`add-log-exp_binary64_11908`
2×	`distribute-lft-in_binary64_11823` `distribute-rgt-in_binary64_11824` `unswap-sqr_binary64_11840` `*-commutative_binary64_11805`
1×	`times-frac_binary64_11878` `div-inv_binary64_11869` `pow2_binary64_11950` `associate-/r_binary64_11818` `pow-sqr_binary64_11845` `clear-num_binary64_11871` `associate-/l_binary64_11819` `pow-plus_binary64_11932` `frac-2neg_binary64_11883` `pow-prod-up_binary64_11939`

Counts

3 → 140

Calls

3 calls:

22.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
19.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

series300.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

206.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
66.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
28.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

simplify87.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4962	3602
1	4962	3602

prune178.0ms (3.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	141	8	149
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	8	150

Merged error: 8.1b

Counts

150 → 8

Compiler

Compiled 4215 to 1673 computations (60.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 2)
0.1b	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
6.7b	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
18.2b	(/.f64 x (pow.f64 (+.f64 x y) 2))

rewrite61.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

69×	`*-un-lft-identity_binary64_11872`
63×	`times-frac_binary64_11878`
55×	`add-sqr-sqrt_binary64_11893`
43×	`add-cube-cbrt_binary64_11904`
36×	`add-exp-log_binary64_11907`
33×	`unpow-prod-down_binary64_11948`
31×	`associate-r_binary64_11814`
20×	`add-cbrt-cube_binary64_11905`
14×	`div-exp_binary64_11920` `associate-/r*_binary64_11818` `distribute-lft-out_binary64_11825`
9×	`sqr-pow_binary64_11844` `unpow2_binary64_11934`
8×	`prod-exp_binary64_11918`
7×	`pow1_binary64_11930`
6×	`cbrt-undiv_binary64_11903`
5×	`unswap-sqr_binary64_11840`
4×	`pow-to-exp_binary64_11938` `pow-exp_binary64_11937` `cbrt-unprod_binary64_11902` `associate-/l*_binary64_11819` `add-log-exp_binary64_11908`
3×	`div-inv_binary64_11869` `associate-l_binary64_11815` `pow-unpow_binary64_11946`
2×	`associate-/r/_binary64_11820` `associate-*r/_binary64_11816` `clear-num_binary64_11871` `frac-2neg_binary64_11883`
1×	`pow-pow_binary64_11941` `associate-/l/_binary64_11821` `pow-prod-down_binary64_11940` `flip-+_binary64_11846` `*-commutative_binary64_11805` `flip3-+_binary64_11875`

Counts

4 → 159

Calls

4 calls:

16.0ms	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
16.0ms	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
8.0ms	(/.f64 x (pow.f64 (+.f64 x y) 2))
5.0ms	(pow.f64 (+.f64 x y) 2)

series451.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

215.0ms	(/.f64 (*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2))) (+.f64 (+.f64 x y) 1))
114.0ms	(*.f64 y (/.f64 x (pow.f64 (+.f64 x y) 2)))
96.0ms	(/.f64 x (pow.f64 (+.f64 x y) 2))
26.0ms	(pow.f64 (+.f64 x y) 2)

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5270	2666

prune178.0ms (3.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	165	6	171
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	170	9	179

Merged error: 0.0b

Counts

179 → 9

Compiler

Compiled 3617 to 1633 computations (54.9% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
0.1b	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))

rewrite66.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64_11872`
57×	`times-frac_binary64_11878`
52×	`add-sqr-sqrt_binary64_11893`
40×	`add-cube-cbrt_binary64_11904`
38×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
20×	`distribute-lft-out_binary64_11825`
18×	`associate-l_binary64_11815` `associate-r_binary64_11814`
15×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920`
13×	`associate-/r*_binary64_11818`
10×	`associate-/r/_binary64_11820`
8×	`prod-exp_binary64_11918` `cbrt-unprod_binary64_11902`
7×	`associate-/l*_binary64_11819`
6×	`pow1_binary64_11930`
5×	`div-inv_binary64_11869` `flip-+_binary64_11846` `flip3-+_binary64_11875`
4×	`unswap-sqr_binary64_11840` `add-log-exp_binary64_11908`
3×	`associate-/l/_binary64_11821` `clear-num_binary64_11871` `frac-2neg_binary64_11883`
2×	`associate-r/_binary64_11816` `associate-l/_binary64_11817` `frac-times_binary64_11882`
1×	`pow-prod-down_binary64_11940` `*-commutative_binary64_11805`

Counts

4 → 162

Calls

4 calls:

19.0ms	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
19.0ms	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))
6.0ms	(/.f64 y (+.f64 x y))
6.0ms	(/.f64 x (+.f64 x y))

series443.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

222.0ms	(/.f64 (*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y))) (+.f64 (+.f64 x y) 1))
125.0ms	(*.f64 (/.f64 y (+.f64 x y)) (/.f64 x (+.f64 x y)))
48.0ms	(/.f64 x (+.f64 x y))
48.0ms	(/.f64 y (+.f64 x y))

simplify82.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4966	2987
1	4966	2987

prune150.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	170	4	174
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	176	7	183

Merged error: 0.0b

Counts

183 → 7

Compiler

Compiled 4032 to 1105 computations (72.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 y x))
0.0b	(/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y))
0.1b	(/.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
8.0b	(*.f64 y (/.f64 x (+.f64 y x)))

rewrite72.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

132×	`*-un-lft-identity_binary64_11872`
103×	`times-frac_binary64_11878`
52×	`add-sqr-sqrt_binary64_11893`
48×	`distribute-lft-out_binary64_11825`
47×	`add-cube-cbrt_binary64_11904`
34×	`add-exp-log_binary64_11907` `add-cbrt-cube_binary64_11905`
20×	`associate-/r/_binary64_11820`
18×	`associate-r_binary64_11814`
14×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `associate-/l*_binary64_11819`
13×	`associate-/r*_binary64_11818`
10×	`div-inv_binary64_11869` `flip-+_binary64_11846` `flip3-+_binary64_11875`
6×	`prod-exp_binary64_11918` `cbrt-unprod_binary64_11902` `pow1_binary64_11930`
4×	`add-log-exp_binary64_11908`
3×	`associate-l_binary64_11815` `clear-num_binary64_11871` `frac-2neg_binary64_11883`
2×	`associate-*r/_binary64_11816` `associate-/l/_binary64_11821` `unswap-sqr_binary64_11840`
1×	`pow-prod-down_binary64_11940` `*-commutative_binary64_11805`

Counts

4 → 184

Calls

4 calls:

20.0ms	(/.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
12.0ms	(/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y))
11.0ms	(*.f64 y (/.f64 x (+.f64 y x)))
6.0ms	(/.f64 x (+.f64 y x))

series469.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(/.f64 (/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
114.0ms	(/.f64 (*.f64 y (/.f64 x (+.f64 y x))) (+.f64 x y))
82.0ms	(*.f64 y (/.f64 x (+.f64 y x)))
63.0ms	(/.f64 x (+.f64 y x))

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5045	4512

prune156.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	195	8	203

Merged error: 0.0b

Counts

203 → 8

Compiler

Compiled 4679 to 1292 computations (72.4% saved)

regimes335.0ms (6.5%)

Compiler: Compiled 4287 to 2504 computations (41.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	25
1	14	25

end0.0ms (0%)

sample1.5s (29.2%)

Algorithm

1×

intervals

Results

284.0ms

8000×

body

128

valid

Compiler

Compiled 1453 to 849 computations (41.6% saved)

Details

analyze78.0ms (1.5%)

sample16.0ms (0.3%)

simplify304.0ms (5.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite74.0ms (1.4%)

series300.0ms (5.8%)

simplify87.0ms (1.7%)

prune178.0ms (3.4%)

localize12.0ms (0.2%)

rewrite61.0ms (1.2%)

series451.0ms (8.7%)

simplify51.0ms (1%)

prune178.0ms (3.4%)

localize8.0ms (0.2%)

rewrite66.0ms (1.3%)

series443.0ms (8.6%)

simplify82.0ms (1.6%)

prune150.0ms (2.9%)

localize9.0ms (0.2%)

rewrite72.0ms (1.4%)

series469.0ms (9.1%)

simplify66.0ms (1.3%)

prune156.0ms (3%)

regimes335.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (29.2%)

Profiling