Details

analyze291.0ms

Algorithm

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

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify185.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (183.0ms)

Iter	Nodes	Cost
0	4229	9
1	4229	9

prune3.0ms

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

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

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)))

series12.0ms

Counts

1 → 3

Calls

1 calls:

12.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4914	775
1	4914	775

prune79.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

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

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))

rewrite41.0ms

Algorithm

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))

series33.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
11.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

simplify69.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5557	3410

prune154.0ms

Filtered

110 candidates to 201 candidates (-82.7%)

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

localize8.0ms

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)))

rewrite96.0ms

Algorithm

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:

6.0ms	(/.f64 1 (+.f64 x y))
9.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
30.0ms	(/.f64 (/.f64 1 (-.f64 1.0 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

series34.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (+.f64 x y))
7.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
22.0ms	(/.f64 (/.f64 1 (-.f64 1.0 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

simplify144.0ms

Algorithm

egg-herbie

Counts

597 → 597

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5088	13039

prune370.0ms

Filtered

233 candidates to 597 candidates (-156.2%)

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

localize8.0ms

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)))

rewrite48.0ms

Algorithm

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:

7.0ms	(/.f64 1 (+.f64 y x))
19.0ms	(/.f64 1 (*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x))))
18.0ms	(*.f64 (-.f64 1.0 (/.f64 y z)) (/.f64 1 (+.f64 y x)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(/.f64 1 (+.f64 y x))
22.0ms	(/.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)))

simplify56.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5262	1280

prune82.0ms

Filtered

73 candidates to 138 candidates (-89.0%)

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

regimes329.0ms

Accuracy

59.1% (0.8b remaining)

Error of 6.6b against oracle of 5.8b and baseline of 7.8b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	62	61
1	62	61

end0.0ms

sample430.0ms

Algorithm

intervals

Results

261.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze291.0ms

sample19.0ms

simplify185.0ms

prune3.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify41.0ms

prune79.0ms

localize7.0ms

rewrite41.0ms

series33.0ms

simplify69.0ms

prune154.0ms

localize8.0ms

rewrite96.0ms

series34.0ms

simplify144.0ms

prune370.0ms

localize8.0ms

rewrite48.0ms

series40.0ms

simplify56.0ms

prune82.0ms

regimes329.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample430.0ms

Profiling