Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample10.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	460	7
1	460	7

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
24×	`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:

9.0ms

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

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5145	627

prune50.0ms

Filtered

33 candidates to 53 candidates (-60.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	4	54

Merged error: 0b

Counts

54 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 x))
0.1b	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64`
48×	`*-un-lft-identity_binary64`
38×	`times-frac_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:

6.0ms	(/.f64 1 (-.f64 1 x))
15.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

series5.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/.f64 1 (-.f64 1 x))
3.0ms	(*.f64 (+.f64 x 1) (/.f64 1 (-.f64 1 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6184	904

prune74.0ms

Filtered

62 candidates to 103 candidates (-66.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	4	107

Merged error: 0b

Counts

107 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
0.1b	(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity_binary64`
107×	`add-sqr-sqrt_binary64`
88×	`times-frac_binary64`
61×	`sqrt-prod_binary64`
48×	`associate-r_binary64`
46×	`add-cube-cbrt_binary64`
30×	`difference-of-squares_binary64`
15×	`distribute-lft-out--_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64` `associate-/l*_binary64`
6×	`associate-/r*_binary64` `unswap-sqr_binary64` `sqrt-div_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 150

Calls

2 calls:

29.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
10.0ms	(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
9.0ms	(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))

simplify65.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4944	2041
1	4944	2041

prune112.0ms

Filtered

83 candidates to 156 candidates (-88.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	156	4	160

Merged error: 0b

Counts

160 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 (+.f64 x 1) (.f64 x 2))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-l*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-*l/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x 1) (*.f64 x 2))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(*.f64 (+.f64 x 1) (*.f64 x 2))

simplify53.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4992	184
1	4992	184

prune17.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	24	4	28

Merged error: 0b

Counts

28 → 4

regimes55.0ms

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	16	7
1	16	7

end0.0ms

sample244.0ms

Algorithm

intervals

Results

153.0ms

8000×

body

valid

Details

analyze3.0ms

sample10.0ms

simplify28.0ms

prune2.0ms

localize4.0ms

rewrite11.0ms

series3.0ms

simplify43.0ms

prune50.0ms

localize5.0ms

rewrite28.0ms

series5.0ms

simplify51.0ms

prune74.0ms

localize6.0ms

rewrite48.0ms

series12.0ms

simplify65.0ms

prune112.0ms

localize5.0ms

rewrite8.0ms

series6.0ms

simplify53.0ms

prune17.0ms

regimes55.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample244.0ms

Profiling