Details

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample33.0ms

Algorithm

intervals

Results

11.0ms	46×	body	2048	valid
8.0ms	43×	body	1024	valid
6.0ms	148×	body	128	valid
1.0ms	10×	body	512	valid
1.0ms	9×	body	256	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	45	15
1	45	15

prune3.0ms

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: 16.9b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

1.5b	(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
4×	`difference-of-squares_binary64` `sqrt-prod_binary64`
3×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip--_binary64`

Counts

1 → 18

Calls

1 calls:

10.0ms

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

series133.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

simplify66.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5096	463

prune20.0ms

Filtered

12 candidates to 21 candidates (-75.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	2	22

Merged error: 16.4b

Counts

22 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
1.0b	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`distribute-lft-out_binary64`
2×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `sqrt-prod_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 28

Calls

2 calls:

12.0ms	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
8.0ms	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

103.0ms	(+.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))
69.0ms	(-.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5008	589

prune35.0ms

Filtered

23 candidates to 34 candidates (-47.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	0	34
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 16.4b

Counts

36 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)

0.6b

(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))

1.5b

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
44×	`*-un-lft-identity_binary64`
26×	`cbrt-prod_binary64`
20×	`unpow-prod-down_binary64` `difference-of-squares_binary64` `cube-prod_binary64` `sqrt-prod_binary64`
15×	`distribute-lft-out--_binary64`
9×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64` `flip3--_binary64` `flip--_binary64`
2×	`cbrt-div_binary64` `sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `diff-log_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

3 → 94

Calls

3 calls:

15.0ms

(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)

13.0ms

(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))

11.0ms

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

series475.0ms

Counts

3 → 9

Calls

3 calls:

246.0ms

(pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3)

116.0ms

(cbrt.f64 (pow.f64 (-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x))))) 3))

112.0ms

(-.f64 1 (sqrt.f64 (+.f64 1/2 (/.f64 1/2 (hypot.f64 1 x)))))

simplify87.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4996	2494
1	4996	2494

prune52.0ms

Filtered

40 candidates to 103 candidates (-157.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	103	2	105

Merged error: 16.4b

Counts

105 → 2

regimes16.0ms

Accuracy

0% (0.0b remaining)

Error of 14.6b against oracle of 14.6b and baseline of 14.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	27
1	30	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

513.0ms	2028×	body	2048	valid
198.0ms	1019×	body	1024	valid
177.0ms	4265×	body	128	valid
66.0ms	479×	body	512	valid
17.0ms	209×	body	256	valid

Details

analyze2.0ms

sample33.0ms

simplify9.0ms

prune3.0ms

localize6.0ms

rewrite12.0ms

series133.0ms

simplify66.0ms

prune20.0ms

localize9.0ms

rewrite22.0ms

series172.0ms

simplify64.0ms

prune35.0ms

localize9.0ms

rewrite49.0ms

series475.0ms

simplify87.0ms

prune52.0ms

regimes16.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling