Details

analyze36.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

sample17.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	689	7
1	689	7

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

46×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
30×	`times-frac_binary64`
19×	`difference-of-squares_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-out--_binary64`
6×	`associate-/r*_binary64`
5×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 58

Calls

1 calls:

9.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x y) (-.f64 1 y))

simplify57.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4879	755
1	4879	755

prune52.0ms

Filtered

39 candidates to 61 candidates (-56.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	58	3	61
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	3	62

Merged error: 0b

Counts

62 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 1 y))
0.0b	(/.f64 x (-.f64 1 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
36×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
16×	`difference-of-squares_binary64`
12×	`associate-/r*_binary64`
8×	`distribute-lft-out--_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`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`

Counts

2 → 82

Calls

2 calls:

6.0ms	(/.f64 y (-.f64 1 y))
6.0ms	(/.f64 x (-.f64 1 y))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 y (-.f64 1 y))
6.0ms	(/.f64 x (-.f64 1 y))

simplify65.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5121	824

prune74.0ms

Filtered

62 candidates to 88 candidates (-41.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	88	3	91

Merged error: 0b

Counts

91 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
0.1b	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
20.2b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

206×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
150×	`times-frac_binary64`
83×	`difference-of-squares_binary64`
78×	`cbrt-prod_binary64`
72×	`unpow-prod-down_binary64` `cube-prod_binary64`
66×	`add-cube-cbrt_binary64`
57×	`distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
5×	`associate-/l*_binary64` `div-inv_binary64`
4×	`pow1_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 238

Calls

3 calls:

12.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
13.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
15.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
18.0ms	(pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)
7.0ms	(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))

simplify68.0ms

Algorithm

egg-herbie

Counts

247 → 247

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5254	3545

prune119.0ms

Filtered

100 candidates to 247 candidates (-147.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	247	3	250

Merged error: 0b

Counts

250 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
1.6b	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
2.9b	(log.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`times-frac_binary64`
72×	`log-prod_binary64`
51×	`difference-of-squares_binary64`
41×	`add-cube-cbrt_binary64`
36×	`exp-sum_binary64`
35×	`distribute-lft-out--_binary64`
8×	`add-exp-log_binary64`
6×	`associate-/r*_binary64` `associate-/r/_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
4×	`flip3--_binary64` `flip--_binary64` `exp-prod_binary64`
3×	`add-log-exp_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `rem-log-exp_binary64` `log-pow_binary64` `div-exp_binary64` `log-div_binary64`
1×	`cbrt-undiv_binary64` `rem-exp-log_binary64` `exp-diff_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

3 → 154

Calls

3 calls:

9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
11.0ms	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(log.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))

series26.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))
7.0ms	(exp.f64 (log.f64 (/.f64 (-.f64 x y) (-.f64 1 y))))
12.0ms	(log.f64 (/.f64 (-.f64 x y) (-.f64 1 y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5013	2160

prune111.0ms

Filtered

100 candidates to 163 candidates (-63.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	163	3	166

Merged error: 0b

Counts

166 → 3

regimes143.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample301.0ms

Algorithm

intervals

Results

173.0ms

8000×

body

valid

Details

analyze36.0ms

sample17.0ms

simplify39.0ms

prune3.0ms

localize5.0ms

rewrite12.0ms

series7.0ms

simplify57.0ms

prune52.0ms

localize6.0ms

rewrite16.0ms

series9.0ms

simplify65.0ms

prune74.0ms

localize8.0ms

rewrite54.0ms

series32.0ms

simplify68.0ms

prune119.0ms

localize8.0ms

rewrite38.0ms

series26.0ms

simplify92.0ms

prune111.0ms

regimes143.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample301.0ms

Profiling