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

sample14.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	308	7
1	308	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: 0.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3.0)
0.3b	(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 3.0)
7.0ms	(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x x) 3.0)
8.0ms	(/.f64 (-.f64 (*.f64 x x) 3.0) 6.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5451	516

prune56.0ms

Filtered

41 candidates to 52 candidates (-26.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	49	3	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	3	53

Merged error: 0b

Counts

53 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 3.0)
0.1b	(/.f64 1 (/.f64 6.0 (-.f64 (*.f64 x x) 3.0)))
0.3b	(/.f64 6.0 (-.f64 (*.f64 x x) 3.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac_binary64`
80×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
22×	`associate-/r*_binary64`
17×	`difference-of-squares_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 141

Calls

3 calls:

4.0ms	(-.f64 (*.f64 x x) 3.0)
12.0ms	(/.f64 1 (/.f64 6.0 (-.f64 (*.f64 x x) 3.0)))
6.0ms	(/.f64 6.0 (-.f64 (*.f64 x x) 3.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(-.f64 (*.f64 x x) 3.0)
8.0ms	(/.f64 1 (/.f64 6.0 (-.f64 (*.f64 x x) 3.0)))
5.0ms	(/.f64 6.0 (-.f64 (*.f64 x x) 3.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5545	1960

prune124.0ms

Filtered

101 candidates to 150 candidates (-48.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	150	3	153

Merged error: 0b

Counts

153 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 x x) 0.16666666666666666)

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:

8.0ms

(*.f64 (*.f64 x x) 0.16666666666666666)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x x) 0.16666666666666666)

simplify50.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5269	130

prune17.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Merged error: 0b

Counts

25 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (sqrt.f64 3.0))
0.0b	(+.f64 x (sqrt.f64 3.0))
0.0b	(/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0)
0.7b	(*.f64 (+.f64 x (sqrt.f64 3.0)) (/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0))

rewrite35.0ms

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:

4.0ms	(-.f64 x (sqrt.f64 3.0))
4.0ms	(+.f64 x (sqrt.f64 3.0))
7.0ms	(/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0)
15.0ms	(*.f64 (+.f64 x (sqrt.f64 3.0)) (/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0))

series35.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(-.f64 x (sqrt.f64 3.0))
4.0ms	(+.f64 x (sqrt.f64 3.0))
7.0ms	(/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0)
20.0ms	(*.f64 (+.f64 x (sqrt.f64 3.0)) (/.f64 (-.f64 x (sqrt.f64 3.0)) 6.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5133	1231

prune102.0ms

Filtered

85 candidates to 126 candidates (-48.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	9
1	18	9

end0.0ms

sample259.0ms

Algorithm

intervals

Results

170.0ms	8000×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample14.0ms

simplify18.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series13.0ms

simplify43.0ms

prune56.0ms

localize6.0ms

rewrite28.0ms

series18.0ms

simplify60.0ms

prune124.0ms

localize4.0ms

rewrite8.0ms

series4.0ms

simplify50.0ms

prune17.0ms

localize7.0ms

rewrite35.0ms

series35.0ms

simplify45.0ms

prune102.0ms

regimes70.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample259.0ms

Profiling