Details

analyze443.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2142	26
1	2142	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
56.2%	43.7%	0.1%	5
65.6%	34.3%	0.1%	6
79.6%	20.3%	0.1%	7
83.5%	16.4%	0.1%	8
90.1%	9.8%	0.1%	9
91.9%	8%	0.1%	10
95.1%	4.8%	0.1%	11
96%	4%	0.1%	12
97.5%	2.4%	0.1%	13
97.9%	2%	0.1%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample19.0ms (0.1%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify262.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (257.0ms)

Iter	Nodes	Cost
0	2142	13
1	2142	13

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 2 (+.f64 x y))
0.0b	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite104.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

67×	`*-un-lft-identity_binary64_19515`
44×	`add-sqr-sqrt_binary64_19537`
30×	`times-frac_binary64_19521`
21×	`distribute-lft-out--_binary64_19467`
16×	`add-cube-cbrt_binary64_19550`
14×	`difference-of-squares_binary64_19484`
8×	`distribute-lft-out_binary64_19466`
7×	`add-log-exp_binary64_19554`
6×	`associate-/r*_binary64_19459`
5×	`associate-/l*_binary64_19460`
4×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551` `cancel-sign-sub-inv_binary64_19481`
3×	`flip3--_binary64_19519` `flip--_binary64_19490`
2×	`pow1_binary64_19576` `associate-/l/_binary64_19462` `associate-/r/_binary64_19461` `diff-log_binary64_19607`
1×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `div-sub_binary64_19520` `clear-num_binary64_19514` `div-inv_binary64_19512` `sum-log_binary64_19606` `sub-neg_binary64_19508` `associate--r+_binary64_19451`

Counts

2 → 78

Calls

2 calls:

11.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
6.0ms	(-.f64 2 (+.f64 x y))

Compiler

Compiled 1422 to 609 computations (57.2% saved)

series369.0ms (2.6%)

Error

0.0b

Counts

2 → 36

Calls

2 calls:

238.0ms	(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
59.0ms	(-.f64 2 (+.f64 x y))

Compiler

Compiled 1810 to 1397 computations (22.8% saved)

simplify87.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4953	2535
1	4953	2535

prune128.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	109	5	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	5	115

Error

Counts

115 → 5

Compiler

Compiled 2190 to 1061 computations (51.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2 (+.f64 y x))
0.0b	(/.f64 x (-.f64 2 (+.f64 y x)))
0.0b	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))
0.0b	(/.f64 y (-.f64 2 (+.f64 y x)))

rewrite320.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

161×	`*-un-lft-identity_binary64_19515`
82×	`times-frac_binary64_19521`
79×	`add-sqr-sqrt_binary64_19537`
49×	`distribute-lft-out--_binary64_19467`
39×	`add-cube-cbrt_binary64_19550`
28×	`cancel-sign-sub-inv_binary64_19481`
19×	`distribute-lft-out_binary64_19466`
18×	`difference-of-squares_binary64_19484`
12×	`associate-/r*_binary64_19459`
11×	`add-log-exp_binary64_19554`
10×	`associate-/r/_binary64_19461`
8×	`add-exp-log_binary64_19553` `add-cbrt-cube_binary64_19551`
7×	`flip3--_binary64_19519` `flip--_binary64_19490`
6×	`associate-/l*_binary64_19460`
5×	`div-inv_binary64_19512`
4×	`pow1_binary64_19576`
3×	`diff-log_binary64_19607` `distribute-rgt-out--_binary64_19469`
2×	`div-exp_binary64_19566` `cbrt-undiv_binary64_19549` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `sub-neg_binary64_19508`
1×	`frac-sub_binary64_19524` `sub-div_binary64_19522` `sum-log_binary64_19606` `associate--r+_binary64_19451`

Counts

4 → 159

Calls

4 calls:

44.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))
14.0ms	(/.f64 x (-.f64 2 (+.f64 y x)))
12.0ms	(-.f64 2 (+.f64 y x))
8.0ms	(/.f64 y (-.f64 2 (+.f64 y x)))

Compiler

Compiled 3915 to 1995 computations (49% saved)

series767.0ms (5.5%)

Error

Counts

4 → 84

Calls

4 calls:

252.0ms	(-.f64 (/.f64 x (-.f64 2 (+.f64 y x))) (/.f64 y (-.f64 2 (+.f64 y x))))
173.0ms	(/.f64 y (-.f64 2 (+.f64 y x)))
155.0ms	(/.f64 x (-.f64 2 (+.f64 y x)))
46.0ms	(-.f64 2 (+.f64 y x))

Compiler

Compiled 5550 to 4091 computations (26.3% saved)

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4997	6140
1	4997	6140

prune397.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	243	5	248

Error

Counts

248 → 5

Compiler

Compiled 6249 to 3208 computations (48.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))) (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))))
4.1b	(/.f64 (*.f64 y y) (-.f64 2 x))
6.0b	(.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))
15.8b	(/.f64 x (pow.f64 (-.f64 2 x) 2))

rewrite1.1s (7.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

73×	`add-sqr-sqrt_binary64_19537`
69×	`times-frac_binary64_19521`
63×	`*-un-lft-identity_binary64_19515`
43×	`add-cube-cbrt_binary64_19550`
36×	`unpow-prod-down_binary64_19594`
35×	`frac-sub_binary64_19524`
34×	`associate-l_binary64_19456`
31×	`flip3-+_binary64_19518` `flip-+_binary64_19489`
26×	`frac-times_binary64_19525`
25×	`frac-add_binary64_19523`
24×	`add-exp-log_binary64_19553`
20×	`associate-*l/_binary64_19458`
19×	`associate-*r/_binary64_19457`
16×	`add-cbrt-cube_binary64_19551`
15×	`associate-/r*_binary64_19459`
9×	`add-log-exp_binary64_19554` `difference-of-squares_binary64_19484` `distribute-lft-out--_binary64_19467`
8×	`div-exp_binary64_19566` `unpow2_binary64_19580` `sqr-pow_binary64_19487`
6×	`pow1_binary64_19576`
5×	`prod-exp_binary64_19564` `unswap-sqr_binary64_19483`
4×	`cbrt-undiv_binary64_19549` `associate-/l_binary64_19460` `associate-r*_binary64_19455`
3×	`div-inv_binary64_19512` `cbrt-unprod_binary64_19548`
2×	`pow-to-exp_binary64_19584` `pow-exp_binary64_19583` `frac-2neg_binary64_19526` `clear-num_binary64_19514` `flip3--_binary64_19519` `associate-/r/_binary64_19461` `flip--_binary64_19490` `diff-log_binary64_19607`
1×	`pow-prod-down_binary64_19586` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `distribute-lft-out_binary64_19466` `*-commutative_binary64_19446` `sum-log_binary64_19606` `sub-neg_binary64_19508` `cancel-sign-sub-inv_binary64_19481` `associate--l+_binary64_19452`

Counts

4 → 198

Calls

4 calls:

38.0ms	(.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))
35.0ms	(-.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))) (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))))
13.0ms	(/.f64 (*.f64 y y) (-.f64 2 x))
8.0ms	(/.f64 x (pow.f64 (-.f64 2 x) 2))

Compiler

Compiled 13280 to 8613 computations (35.1% saved)

series1.2s (8.3%)

Error

Counts

4 → 50

Calls

4 calls:

609.0ms	(-.f64 (+.f64 (/.f64 x (-.f64 2 x)) (.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))) (*.f64 (+.f64 (/.f64 y (-.f64 2 x)) 1) (/.f64 y (-.f64 2 x))))
306.0ms	(.f64 (/.f64 x (pow.f64 (-.f64 2 x) 2)) (+.f64 y (/.f64 (.f64 y y) (-.f64 2 x))))
110.0ms	(/.f64 (*.f64 y y) (-.f64 2 x))
61.0ms	(/.f64 x (pow.f64 (-.f64 2 x) 2))

Compiler

Compiled 4406 to 3304 computations (25% saved)

simplify163.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4975	12048
1	4975	12048

prune1.1s (7.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	248	5	253

Error

Counts

253 → 5

Compiler

Compiled 13635 to 8838 computations (35.2% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.8b	(+.f64 (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (pow.f64 (/.f64 x (-.f64 2 y)) 3))
6.2b	(.f64 y (+.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))))
9.5b	(/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))
11.3b	(/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))

rewrite1.9s (13.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

126×	`times-frac_binary64_19521`
106×	`*-un-lft-identity_binary64_19515`
105×	`unpow-prod-down_binary64_19594`
104×	`add-sqr-sqrt_binary64_19537`
68×	`add-cube-cbrt_binary64_19550`
40×	`cube-prod_binary64_19543`
31×	`add-exp-log_binary64_19553`
25×	`sqr-pow_binary64_19487` `associate-/r*_binary64_19459`
17×	`difference-of-squares_binary64_19484` `distribute-lft-out--_binary64_19467`
15×	`div-exp_binary64_19566`
13×	`add-cbrt-cube_binary64_19551` `unpow3_binary64_19581` `cube-mult_binary64_19545` `associate-/l*_binary64_19460`
8×	`pow-to-exp_binary64_19584` `pow-exp_binary64_19583`
7×	`cube-div_binary64_19544`
6×	`pow1_binary64_19576` `add-log-exp_binary64_19554` `frac-add_binary64_19523`
5×	`associate-r_binary64_19455`
4×	`prod-exp_binary64_19564` `associate-*r/_binary64_19457` `flip3-+_binary64_19518` `flip-+_binary64_19489`
3×	`cbrt-undiv_binary64_19549` `associate-l_binary64_19456`
2×	`frac-2neg_binary64_19526` `clear-num_binary64_19514` `div-inv_binary64_19512` `cbrt-unprod_binary64_19548` `associate-/r/_binary64_19461` `distribute-lft-out_binary64_19466` `frac-times_binary64_19525` `associate-*l/_binary64_19458`
1×	`flip3--_binary64_19519` `flip--_binary64_19490` `pow-prod-down_binary64_19586` `unswap-sqr_binary64_19483` `distribute-rgt-in_binary64_19465` `distribute-lft-in_binary64_19464` `*-commutative_binary64_19446` `sum-log_binary64_19606` `distribute-rgt-out_binary64_19468` `+-commutative_binary64_19445`

Counts

4 → 244

Calls

4 calls:

171.0ms	(.f64 y (+.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))))
45.0ms	(+.f64 (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (pow.f64 (/.f64 x (-.f64 2 y)) 3))
12.0ms	(/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))
10.0ms	(/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))

Compiler

Compiled 16942 to 12075 computations (28.7% saved)

series1.5s (10.4%)

Error

Counts

4 → 51

Calls

4 calls:

496.0ms	(+.f64 (*.f64 (+.f64 (/.f64 x (-.f64 2 y)) 1) (/.f64 x (-.f64 2 y))) (pow.f64 (/.f64 x (-.f64 2 y)) 3))
436.0ms	(.f64 y (+.f64 (/.f64 (.f64 x x) (pow.f64 (-.f64 2 y) 3)) (/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))))
188.0ms	(/.f64 (*.f64 x x) (pow.f64 (-.f64 2 y) 3))
178.0ms	(/.f64 (pow.f64 x 3) (pow.f64 (-.f64 2 y) 4))

Compiler

Compiled 7618 to 5703 computations (25.1% saved)

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

295 → 295

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5381	7253

prune2.0s (13.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	295	0	295
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	295	5	300

Error

Counts

300 → 5

Compiler

Compiled 18977 to 13210 computations (30.4% saved)

regimes392.0ms (2.8%)

Accuracy

Total 0.0b remaining (93.8%)

Threshold costs 0.0b (93.8%)

Compiler

Compiled 3327 to 2415 computations (27.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	22
1	45	22

end0.0ms (0%)

sample1.6s (11.7%)

Algorithm

1×

intervals

Results

265.0ms	7996×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 1115 to 809 computations (27.4% saved)

Details

analyze443.0ms (3.2%)

sample19.0ms (0.1%)

simplify262.0ms (1.9%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite104.0ms (0.7%)

series369.0ms (2.6%)

simplify87.0ms (0.6%)

prune128.0ms (0.9%)

localize10.0ms (0.1%)

rewrite320.0ms (2.3%)

series767.0ms (5.5%)

simplify118.0ms (0.8%)

prune397.0ms (2.8%)

localize24.0ms (0.2%)

rewrite1.1s (7.8%)

series1.2s (8.3%)

simplify163.0ms (1.2%)

prune1.1s (7.6%)

localize43.0ms (0.3%)

rewrite1.9s (13.3%)

series1.5s (10.4%)

simplify115.0ms (0.8%)

prune2.0s (13.9%)

regimes392.0ms (2.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.6s (11.7%)

Profiling