Details

analyze34.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify478.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `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 → 45

Calls

1 calls:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4916	532
1	4916	532

prune49.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

11.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series32.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
14.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify72.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4956	1165
1	4956	1165

prune86.0ms

Filtered

84 candidates to 126 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
0.0b	(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64`
45×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
27×	`add-cube-cbrt_binary64`
26×	`pow-unpow_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`add-exp-log_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64`
5×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `pow-exp_binary64`
3×	`add-log-exp_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `sqr-pow_binary64` `e-exp-1_binary64` `div-inv_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 105

Calls

3 calls:

3.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms	(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
11.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series45.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(log.f64 (pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
18.0ms	(pow.f64 E.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
7.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify64.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5000	1138

prune74.0ms

Filtered

73 candidates to 114 candidates (-56.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	114	3	117

Merged error: 0b

Counts

117 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_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` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

series33.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
7.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)

simplify40.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5559	2496

prune87.0ms

Filtered

86 candidates to 194 candidates (-125.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	194	3	197

Merged error: 0b

Counts

197 → 3

regimes74.0ms

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	23	10
1	23	10

end0.0ms

sample327.0ms

Algorithm

intervals

Results

197.0ms

8000×

body

valid

Details

analyze34.0ms

sample16.0ms

simplify478.0ms

prune9.0ms

localize6.0ms

rewrite13.0ms

series16.0ms

simplify81.0ms

prune49.0ms

localize8.0ms

rewrite34.0ms

series32.0ms

simplify72.0ms

prune86.0ms

localize9.0ms

rewrite27.0ms

series45.0ms

simplify64.0ms

prune74.0ms

localize7.0ms

rewrite40.0ms

series33.0ms

simplify40.0ms

prune87.0ms

regimes74.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample327.0ms

Profiling