Details

analyze79.0ms (1.3%)

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)

simplify228.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	4953	25
1	4953	25

prune3.0ms (0%)

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: 20.0b

Counts

2 → 1

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize8.0ms (0.1%)

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))
19.8b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite68.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`frac-times_binary64_11682` `flip-+_binary64_11646` `flip3-+_binary64_11675`
31×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
30×	`associate-*l/_binary64_11615`
27×	`*-un-lft-identity_binary64_11672`
26×	`associate-/r/_binary64_11618`
18×	`associate-*r/_binary64_11614`
15×	`pow1_binary64_11733`
13×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721`
11×	`add-sqr-sqrt_binary64_11694`
9×	`associate-r_binary64_11612` `distribute-lft-out_binary64_11623`
8×	`add-cube-cbrt_binary64_11707`
6×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `swap-sqr_binary64_11639`
5×	`associate-l_binary64_11613`
4×	`pow-prod-down_binary64_11743`
3×	`add-log-exp_binary64_11711`
2×	`distribute-lft-in_binary64_11621` `unswap-sqr_binary64_11640` `distribute-rgt-in_binary64_11622` `*-commutative_binary64_11603`
1×	`pow-sqr_binary64_11645` `clear-num_binary64_11671` `associate-/r_binary64_11616` `pow-prod-up_binary64_11742` `pow2_binary64_11753` `times-frac_binary64_11678` `frac-2neg_binary64_11683` `div-inv_binary64_11669` `pow-plus_binary64_11735` `associate-/l_binary64_11617`

Counts

3 → 140

Calls

3 calls:

23.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
18.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

series479.0ms (7.9%)

Counts

3 → 55

Calls

3 calls:

271.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))
111.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
97.0ms	(*.f64 (+.f64 x y) (+.f64 x y))

Compiler

Compiled 2170 to 1704 computations (21.5% saved)

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5057	5784

prune236.0ms (3.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	190	5	195
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	191	5	196

Merged error: 3.7b

Counts

196 → 5

Compiler

Compiled 5832 to 2199 computations (62.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.0b	(/.f64 y (+.f64 (+.f64 x y) 1))
0.1b	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
18.8b	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))

rewrite71.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`*-un-lft-identity_binary64_11672`
43×	`add-sqr-sqrt_binary64_11694`
40×	`times-frac_binary64_11678`
34×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
31×	`add-cube-cbrt_binary64_11707`
27×	`distribute-lft-out_binary64_11623`
25×	`associate-r_binary64_11612`
20×	`associate-/r/_binary64_11618` `flip-+_binary64_11646` `flip3-+_binary64_11675`
19×	`associate-l_binary64_11613`
13×	`pow1_binary64_11733` `frac-times_binary64_11682`
10×	`cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `div-exp_binary64_11723` `prod-exp_binary64_11721`
7×	`associate-l/_binary64_11615` `associate-r/_binary64_11614`
6×	`associate-/r_binary64_11616` `swap-sqr_binary64_11639` `associate-/l_binary64_11617`
5×	`unswap-sqr_binary64_11640`
4×	`add-log-exp_binary64_11711` `div-inv_binary64_11669`
2×	`clear-num_binary64_11671` `frac-2neg_binary64_11683` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`
1×	`pow-sqr_binary64_11645` `pow-prod-up_binary64_11742` `distribute-lft-in_binary64_11621` `pow2_binary64_11753` `distribute-rgt-in_binary64_11622` `pow-plus_binary64_11735`

Counts

4 → 170

Calls

4 calls:

26.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
11.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
7.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))

series512.0ms (8.4%)

Counts

4 → 54

Calls

4 calls:

268.0ms	(.f64 (/.f64 x (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) 1)))
103.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
72.0ms	(/.f64 x (*.f64 (+.f64 x y) (+.f64 x y)))
69.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))

Compiler

Compiled 2276 to 1745 computations (23.3% saved)

simplify114.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4966	4521
1	4966	4521

prune236.0ms (3.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	220	4	224
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	222	7	229

Merged error: 0.0b

Counts

229 → 7

Compiler

Compiled 5456 to 2348 computations (57% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite116.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

313×	`*-un-lft-identity_binary64_11672`
303×	`times-frac_binary64_11678`
163×	`add-sqr-sqrt_binary64_11694`
142×	`add-cube-cbrt_binary64_11707`
89×	`distribute-lft-out_binary64_11623`
78×	`associate-l_binary64_11613`
34×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
28×	`associate-/r/_binary64_11618`
24×	`associate-/l*_binary64_11617`
21×	`associate-r_binary64_11612`
14×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723` `flip-+_binary64_11646` `flip3-+_binary64_11675` `div-inv_binary64_11669`
13×	`associate-/r*_binary64_11616`
6×	`cbrt-unprod_binary64_11705` `pow1_binary64_11733` `unswap-sqr_binary64_11640` `prod-exp_binary64_11721`
4×	`add-log-exp_binary64_11711`
3×	`clear-num_binary64_11671` `frac-2neg_binary64_11683`
1×	`frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614` `associate-/l/_binary64_11619` `*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

4 → 310

Calls

4 calls:

52.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))
12.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
7.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
5.0ms	(/.f64 x (+.f64 x y))

series471.0ms (7.7%)

Counts

4 → 48

Calls

4 calls:

279.0ms	(*.f64 (/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))
68.0ms	(/.f64 (/.f64 x (+.f64 x y)) (+.f64 x y))
68.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
55.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2168 to 1627 computations (25% saved)

simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

358 → 358

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4993	8564
1	4993	8564

prune368.0ms (6.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	353	5	358
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	357	8	365

Merged error: 0b

Counts

365 → 8

Compiler

Compiled 9628 to 3076 computations (68.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite73.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`*-un-lft-identity_binary64_11672`
62×	`times-frac_binary64_11678`
54×	`add-sqr-sqrt_binary64_11694`
42×	`add-cube-cbrt_binary64_11707`
38×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
30×	`distribute-lft-out_binary64_11623`
21×	`associate-r_binary64_11612`
18×	`associate-l_binary64_11613`
15×	`cbrt-undiv_binary64_11706` `div-exp_binary64_11723`
13×	`associate-/r*_binary64_11616`
10×	`associate-/r/_binary64_11618`
8×	`cbrt-unprod_binary64_11705` `prod-exp_binary64_11721`
7×	`associate-/l*_binary64_11617`
6×	`pow1_binary64_11733`
5×	`flip-+_binary64_11646` `flip3-+_binary64_11675` `div-inv_binary64_11669`
4×	`add-log-exp_binary64_11711` `unswap-sqr_binary64_11640`
3×	`clear-num_binary64_11671` `frac-2neg_binary64_11683` `associate-/l/_binary64_11619`
2×	`frac-times_binary64_11682` `associate-l/_binary64_11615` `associate-r/_binary64_11614`
1×	`*-commutative_binary64_11603` `pow-prod-down_binary64_11743`

Counts

4 → 167

Calls

4 calls:

24.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))
19.0ms	(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1))) (+.f64 x y))
8.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
5.0ms	(/.f64 x (+.f64 x y))

series591.0ms (9.7%)

Counts

4 → 50

Calls

4 calls:

274.0ms	(/.f64 (*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1))) (+.f64 x y))
200.0ms	(*.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) 1)))
61.0ms	(/.f64 y (+.f64 (+.f64 x y) 1))
56.0ms	(/.f64 x (+.f64 x y))

Compiler

Compiled 2625 to 1982 computations (24.5% saved)

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	5065
1	4984	5065

prune209.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	217	8	225

Merged error: 0b

Counts

225 → 8

Compiler

Compiled 5471 to 2138 computations (60.9% saved)

regimes344.0ms (5.6%)

Compiler: Compiled 4394 to 2330 computations (47% 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 (25.4%)

Algorithm

1×

intervals

Results

301.0ms

8000×

body

128

valid

Compiler

Compiled 1506 to 801 computations (46.8% saved)

Details

analyze79.0ms (1.3%)

sample16.0ms (0.3%)

simplify228.0ms (3.7%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite68.0ms (1.1%)

series479.0ms (7.9%)

simplify70.0ms (1.2%)

prune236.0ms (3.9%)

localize8.0ms (0.1%)

rewrite71.0ms (1.2%)

series512.0ms (8.4%)

simplify114.0ms (1.9%)

prune236.0ms (3.9%)

localize8.0ms (0.1%)

rewrite116.0ms (1.9%)

series471.0ms (7.7%)

simplify131.0ms (2.2%)

prune368.0ms (6.1%)

localize12.0ms (0.2%)

rewrite73.0ms (1.2%)

series591.0ms (9.7%)

simplify85.0ms (1.4%)

prune209.0ms (3.4%)

regimes344.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (25.4%)

Profiling