Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify295.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	6947	6

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	(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`sqrt-prod_binary64`
4×	`add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64` `sqrt-div_binary64`
1×	`add-log-exp_binary64` `pow1/2_binary64` `flip3--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`

Counts

1 → 17

Calls

1 calls:

3.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(sqrt.f64 (-.f64 1 (*.f64 x x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4912	191
1	4912	191

prune15.0ms

Filtered

16 candidates to 20 candidates (-25.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Merged error: 0b

Counts

21 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
0.0b	(sqrt.f64 (-.f64 1 (*.f64 x x)))
0.0b	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

16×	`exp-prod_binary64`
15×	`sqrt-prod_binary64`
13×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64` `log-pow_binary64`
6×	`difference-of-squares_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`sqrt-div_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `flip--_binary64`

Counts

3 → 53

Calls

3 calls:

5.0ms	(exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
5.0ms	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))))
5.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))
5.0ms	(log.f64 (exp.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))))

simplify109.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4871	545
1	4871	545

prune35.0ms

Filtered

47 candidates to 62 candidates (-31.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	62	3	65

Merged error: 0b

Counts

65 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt.f64 (-.f64 1 x))
0.0b	(sqrt.f64 (+.f64 1 x))
0.0b	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
19×	`*-un-lft-identity_binary64`
16×	`sqrt-div_binary64`
9×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64`
7×	`associate-l_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `pow1/2_binary64` `flip3--_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64`
2×	`distribute-lft-out_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 76

Calls

3 calls:

4.0ms	(sqrt.f64 (-.f64 1 x))
4.0ms	(sqrt.f64 (+.f64 1 x))
13.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt.f64 (-.f64 1 x))
5.0ms	(sqrt.f64 (+.f64 1 x))
6.0ms	(*.f64 (sqrt.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 1 x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5005	891

prune48.0ms

Filtered

63 candidates to 85 candidates (-34.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes56.0ms

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	6
1	23	6

end0.0ms

sample291.0ms

Algorithm

intervals

Results

197.0ms

8000×

body

valid

Details

analyze4.0ms

sample11.0ms

simplify295.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify63.0ms

prune15.0ms

localize8.0ms

rewrite15.0ms

series15.0ms

simplify109.0ms

prune35.0ms

localize6.0ms

rewrite24.0ms

series16.0ms

simplify46.0ms

prune48.0ms

regimes56.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample291.0ms

Profiling