Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	25%	13
75%	0%	25%	14

sample16.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	21	10
1	21	10

prune7.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64` `associate-/l*_binary64`
3×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 34

Calls

1 calls:

6.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify49.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5456	602

prune159.0ms

Filtered

29 candidates to 37 candidates (-27.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0b

Counts

38 → 3

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(.f64 (.f64 x x) 1/6)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

7.0ms

(*.f64 (*.f64 x x) 1/6)

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(*.f64 (*.f64 x x) 1/6)

simplify72.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5057	182

prune79.0ms

Filtered

13 candidates to 22 candidates (-69.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0b

Counts

25 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 3))
0.0b	(-.f64 x (sqrt.f64 3))
0.0b	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
0.7b	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt_binary64`
46×	`*-un-lft-identity_binary64`
37×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
22×	`associate-r_binary64`
16×	`difference-of-squares_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64` `distribute-lft-out--_binary64` `sqrt-prod_binary64`
6×	`pow1_binary64` `associate-/l*_binary64`
4×	`associate-l_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `flip-+_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

7.0ms	(+.f64 x (sqrt.f64 3))
8.0ms	(-.f64 x (sqrt.f64 3))
8.0ms	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
14.0ms	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

series186.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (sqrt.f64 3))
21.0ms	(-.f64 x (sqrt.f64 3))
31.0ms	(/.f64 (-.f64 x (sqrt.f64 3)) 6)
115.0ms	(*.f64 (+.f64 x (sqrt.f64 3)) (/.f64 (-.f64 x (sqrt.f64 3)) 6))

simplify84.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5678	1942

prune424.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	126	3	129

Merged error: 0b

Counts

129 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (sqrt.f64 3))
0.0b	(-.f64 x (sqrt.f64 3))
0.1b	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
0.6b	(/.f64 6 (-.f64 x (sqrt.f64 3)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac_binary64`
182×	`*-un-lft-identity_binary64`
170×	`add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
40×	`difference-of-squares_binary64`
30×	`associate-/r*_binary64`
26×	`distribute-lft-out_binary64`
20×	`distribute-lft-out--_binary64` `sqrt-prod_binary64`
13×	`associate-/r/_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 208

Calls

4 calls:

4.0ms	(+.f64 x (sqrt.f64 3))
4.0ms	(-.f64 x (sqrt.f64 3))
14.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
6.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (sqrt.f64 3))
22.0ms	(-.f64 x (sqrt.f64 3))
84.0ms	(/.f64 (+.f64 x (sqrt.f64 3)) (/.f64 6 (-.f64 x (sqrt.f64 3))))
23.0ms	(/.f64 6 (-.f64 x (sqrt.f64 3)))

simplify110.0ms

Algorithm

egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5513	5598

prune667.0ms

Filtered

134 candidates to 220 candidates (-64.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	220	0	220
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	220	3	223

Merged error: 0b

Counts

223 → 3

regimes102.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample291.0ms

Algorithm

intervals

Results

181.0ms

8000×

body

valid

Details

analyze3.0ms

sample16.0ms

simplify16.0ms

prune7.0ms

localize6.0ms

rewrite7.0ms

series37.0ms

simplify49.0ms

prune159.0ms

localize13.0ms

rewrite8.0ms

series20.0ms

simplify72.0ms

prune79.0ms

localize10.0ms

rewrite44.0ms

series186.0ms

simplify84.0ms

prune424.0ms

localize15.0ms

rewrite45.0ms

series148.0ms

simplify110.0ms

prune667.0ms

regimes102.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample291.0ms

Profiling