Details

analyze230.0ms (7%)

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

sample16.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

valid

simplify189.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (187.0ms)

Iter	Nodes	Cost
0	4229	9
1	4229	9

prune8.0ms (0.3%)

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: 6.3b

Counts

2 → 1

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

6.3b	(/.f64 (+.f64 x y) (-.f64 1.0 (/.f64 y z)))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
29×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`associate-/r*_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 50

Calls

1 calls:

11.0ms

(/.f64 (+.f64 x y) (-.f64 1.0 (/.f64 y z)))

series13.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

(/.f64 (+.f64 x y) (-.f64 1.0 (/.f64 y z)))

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4914	775
1	4914	775

prune93.0ms (2.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	10	54

Merged error: 4.8b

Counts

54 → 10

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
6.3b	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

rewrite42.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`times-frac_binary64`
194×	`add-sqr-sqrt_binary64`
193×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64`
34×	`associate-/r*_binary64`
31×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64` `associate-/l*_binary64`
8×	`div-exp_binary64`
6×	`div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

2 → 195

Calls

2 calls:

16.0ms	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
12.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

series35.0ms (1.1%)

Counts

2 → 6

Calls

2 calls:

23.0ms	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
12.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5557	3410

prune248.0ms (7.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	198	3	201
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	201	10	211

Merged error: 4.8b

Counts

211 → 10

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.4b	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
6.0b	(/.f64 (/.f64 1 (-.f64 1.0 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

rewrite94.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

1165×	`times-frac_binary64`
718×	`add-sqr-sqrt_binary64`
693×	`*-un-lft-identity_binary64`
413×	`add-cube-cbrt_binary64`
122×	`difference-of-squares_binary64`
93×	`associate-/r/_binary64`
79×	`distribute-lft-out_binary64`
61×	`distribute-lft-out--_binary64`
51×	`add-exp-log_binary64`
47×	`div-inv_binary64`
36×	`div-exp_binary64`
30×	`associate-/l*_binary64`
28×	`associate-/r*_binary64`
26×	`flip3-+_binary64` `flip-+_binary64`
20×	`flip3--_binary64` `flip--_binary64`
19×	`add-cbrt-cube_binary64`
10×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`inv-pow_binary64` `pow-flip_binary64`
1×	`associate-/l/_binary64`

Counts

3 → 588

Calls

3 calls:

27.0ms	(/.f64 (/.f64 1 (-.f64 1.0 (/.f64 y z))) (/.f64 1 (+.f64 x y)))
10.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
6.0ms	(/.f64 1 (+.f64 x y))

series43.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

31.0ms	(/.f64 (/.f64 1 (-.f64 1.0 (/.f64 y z))) (/.f64 1 (+.f64 x y)))
7.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
5.0ms	(/.f64 1 (+.f64 x y))

simplify145.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

597 → 597

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5088	13039

prune988.0ms (30.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	596	1	597
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	597	10	607

Merged error: 4.8b

Counts

607 → 10

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 y x))
0.2b	(/.f64 1 (*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.3b	(*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-exp-log_binary64`
40×	`*-un-lft-identity_binary64`
35×	`add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
20×	`div-exp_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
16×	`prod-exp_binary64`
10×	`1-exp_binary64` `associate-/r/_binary64` `rec-exp_binary64`
9×	`pow1_binary64`
7×	`distribute-lft-out_binary64`
6×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-/l*_binary64`
5×	`associate-/r*_binary64`
4×	`flip3--_binary64` `cbrt-unprod_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`add-log-exp_binary64` `unswap-sqr_binary64` `div-inv_binary64` `pow-flip_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-*r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `un-div-inv_binary64` `flip-+_binary64`
1×	`distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

3 → 129

Calls

3 calls:

19.0ms	(*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
16.0ms	(/.f64 1 (*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
6.0ms	(/.f64 1 (+.f64 y x))

series41.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

23.0ms	(/.f64 1 (*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
12.0ms	(*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x)))
5.0ms	(/.f64 1 (+.f64 y x))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5262	1280

prune137.0ms (4.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	138	10	148

Merged error: 4.8b

Counts

148 → 10

regimes282.0ms (8.6%)

Accuracy

Total 0.8b remaining (12%)

Threshold costs 0.8b (12%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	61
1	62	61

end0.0ms (0%)

sample389.0ms (11.9%)

Algorithm

1×

intervals

Results

234.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze230.0ms (7%)

sample16.0ms (0.5%)

simplify189.0ms (5.8%)

prune8.0ms (0.3%)

localize6.0ms (0.2%)

rewrite14.0ms (0.4%)

series13.0ms (0.4%)

simplify44.0ms (1.3%)

prune93.0ms (2.9%)

localize7.0ms (0.2%)

rewrite42.0ms (1.3%)

series35.0ms (1.1%)

simplify71.0ms (2.2%)

prune248.0ms (7.6%)

localize9.0ms (0.3%)

rewrite94.0ms (2.9%)

series43.0ms (1.3%)

simplify145.0ms (4.4%)

prune988.0ms (30.3%)

localize11.0ms (0.3%)

rewrite45.0ms (1.4%)

series41.0ms (1.3%)

simplify59.0ms (1.8%)

prune137.0ms (4.2%)

regimes282.0ms (8.6%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample389.0ms (11.9%)

Profiling