Details

analyze234.0ms

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

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify199.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (193.0ms)

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: 8.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.1b	(/.f64 (+.f64 x y) (-.f64 1.0 (/.f64 y z)))

rewrite13.0ms

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)))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4914	775
1	4914	775

prune70.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	7	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	8	54

Merged error: 5.6b

Counts

54 → 8

localize10.0ms

Local error

Found 2 expressions with local error:

0.4b	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
7.6b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1.0 (/.f64 y z))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 97

Calls

2 calls:

8.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
17.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1.0 (/.f64 y z))))

series20.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1.0 (/.f64 y z)))
13.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1.0 (/.f64 y z))))

simplify54.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5965	1114

prune93.0ms

Filtered

62 candidates to 103 candidates (-66.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 5.6b

Counts

111 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
8.1b	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

rewrite39.0ms

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:

15.0ms	(/.f64 1 (/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y)))
11.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (+.f64 x y))

series35.0ms

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

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5557	3410

prune155.0ms

Filtered

110 candidates to 201 candidates (-82.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	199	2	201
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	199	10	209

Merged error: 5.6b

Counts

209 → 10

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
3.2b	(/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y)))
5.2b	(/.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))) (/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

196×	`times-frac_binary64`
178×	`add-sqr-sqrt_binary64`
154×	`*-un-lft-identity_binary64`
84×	`cbrt-prod_binary64`
68×	`add-cube-cbrt_binary64`
55×	`associate-/r*_binary64`
44×	`difference-of-squares_binary64`
22×	`cbrt-div_binary64` `distribute-lft-out--_binary64`
21×	`distribute-lft-out_binary64`
18×	`add-exp-log_binary64`
11×	`flip3-+_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
10×	`associate-/l/_binary64`
7×	`cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow1/3_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-l/_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `flip--_binary64`

Counts

4 → 224

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
15.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y)))
25.0ms	(/.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))) (/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y))))

series139.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt.f64 (+.f64 x y))
32.0ms	(cbrt.f64 (+.f64 x y))
57.0ms	(/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y)))
17.0ms	(/.f64 (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))) (/.f64 (-.f64 1.0 (/.f64 y z)) (cbrt.f64 (+.f64 x y))))

simplify68.0ms

Algorithm

egg-herbie

Counts

236 → 236

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4989	4673
1	4989	4673

prune192.0ms

Filtered

175 candidates to 236 candidates (-34.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	234	2	236
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	234	12	246

Merged error: 5.4b

Counts

246 → 12

regimes330.0ms

Accuracy

49.2% (1.0b remaining)

Error of 6.5b against oracle of 5.4b and baseline of 7.5b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	61
1	62	61

end0.0ms

sample390.0ms

Algorithm

intervals

Results

233.0ms	7995×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	640	valid

Details

analyze234.0ms

sample16.0ms

simplify199.0ms

prune3.0ms

localize6.0ms

rewrite13.0ms

series13.0ms

simplify42.0ms

prune70.0ms

localize10.0ms

rewrite29.0ms

series20.0ms

simplify54.0ms

prune93.0ms

localize7.0ms

rewrite39.0ms

series35.0ms

simplify71.0ms

prune155.0ms

localize10.0ms

rewrite58.0ms

series139.0ms

simplify68.0ms

prune192.0ms

regimes330.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample390.0ms

Profiling