Details

analyze33.0ms

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

simplify508.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune10.0ms

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

localize7.0ms

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))

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify80.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4916	532
1	4916	532

prune83.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

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

rewrite42.0ms

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:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series36.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
14.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify40.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5559	2496

prune94.0ms

Filtered

83 candidates to 194 candidates (-133.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	194	5	199

Merged error: 0b

Counts

199 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `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 → 90

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 n f))
13.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 n f))
9.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5468	786

prune63.0ms

Filtered

58 candidates to 96 candidates (-65.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	96	5	101

Merged error: 0b

Counts

101 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

138×	`unpow-prod-down_binary64`
128×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
52×	`add-cube-cbrt_binary64`
34×	`cbrt-prod_binary64`
21×	`distribute-lft-out_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`add-exp-log_binary64`
12×	`pow-unpow_binary64`
8×	`associate-/r/_binary64` `pow-exp_binary64`
6×	`add-cbrt-cube_binary64` `sqrt-prod_binary64`
5×	`associate-/r*_binary64` `pow1_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
3×	`pow-to-exp_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow-pow_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `pow1/3_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

4 → 181

Calls

4 calls:

13.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3)) (sqrt.f64 3))
10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3))
13.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3)) (sqrt.f64 3)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series216.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3)) (sqrt.f64 3))
36.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3))
102.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (sqrt.f64 3)) (sqrt.f64 3)))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify76.0ms

Algorithm

egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4924	3516
1	4924	3516

prune155.0ms

Filtered

122 candidates to 193 candidates (-58.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	193	0	193
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	193	5	198

Merged error: 0b

Counts

198 → 5

regimes86.0ms

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	19	10
1	19	10

end0.0ms

sample322.0ms

Algorithm

intervals

Results

196.0ms

8000×

body

valid

Details

analyze33.0ms

sample16.0ms

simplify508.0ms

prune10.0ms

localize7.0ms

rewrite13.0ms

series18.0ms

simplify80.0ms

prune83.0ms

localize7.0ms

rewrite42.0ms

series36.0ms

simplify40.0ms

prune94.0ms

localize7.0ms

rewrite22.0ms

series16.0ms

simplify48.0ms

prune63.0ms

localize9.0ms

rewrite56.0ms

series216.0ms

simplify76.0ms

prune155.0ms

regimes86.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample322.0ms

Profiling