Details

analyze46.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
50%	50%	0.1%	5
62.4%	37.5%	0.1%	6
74.9%	25%	0.1%	7
81.2%	18.7%	0.1%	8
87.4%	12.5%	0.1%	9
90.5%	9.4%	0.1%	10
93.7%	6.2%	0.1%	11
95.2%	4.7%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (213.0ms)

Iter	Nodes	Cost
0	3111	11
1	3111	11

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

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
6.0b	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `associate-/r/_binary64` `difference-of-squares_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 47

Calls

2 calls:

11.0ms	(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
7.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

series22.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(-.f64 x (/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2))))
14.0ms	(/.f64 y (+.f64 1 (/.f64 (*.f64 x y) 2)))

simplify47.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4992	788
1	4992	788

prune44.0ms

Filtered

42 candidates to 53 candidates (-26.2%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2)))))
0.4b	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
5.7b	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64`
28×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
21×	`add-cube-cbrt_binary64`
18×	`associate-r_binary64`
16×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
7×	`distribute-lft-out_binary64`
6×	`pow1_binary64`
5×	`add-log-exp_binary64`
4×	`associate-/r*_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
3×	`associate-l_binary64` `unswap-sqr_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip--_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 89

Calls

3 calls:

4.0ms	(-.f64 x (.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2)))))
10.0ms	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
12.0ms	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

series33.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(-.f64 x (.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2)))))
11.0ms	(/.f64 1 (+.f64 1 (/.f64 (*.f64 y x) 2)))
14.0ms	(.f64 y (/.f64 1 (+.f64 1 (/.f64 (.f64 y x) 2))))

simplify56.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4896	1215
1	4896	1215

prune67.0ms

Filtered

60 candidates to 98 candidates (-63.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Merged error: 0b

Counts

102 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)
2.2b	(/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2)))
4.1b	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity_binary64`
50×	`times-frac_binary64`
43×	`add-sqr-sqrt_binary64`
38×	`add-cube-cbrt_binary64`
34×	`cbrt-prod_binary64`
30×	`associate-r_binary64`
18×	`add-exp-log_binary64`
13×	`distribute-lft-out_binary64`
11×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `associate-/r/_binary64`
3×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `pow1/3_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`associate-r/_binary64` `associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
8.0ms	(/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2)))
20.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2))))

series95.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 y)
17.0ms	(cbrt.f64 y)
45.0ms	(/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2)))
18.0ms	(.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (+.f64 1 (/.f64 (*.f64 y x) 2))))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4964	1727
1	4964	1727

prune74.0ms

Filtered

101 candidates to 135 candidates (-33.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (/.f64 2 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
3×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `times-frac_binary64` `flip--_binary64`

Counts

1 → 14

Calls

1 calls:

7.0ms

(-.f64 x (/.f64 2 x))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(-.f64 x (/.f64 2 x))

simplify69.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5158	143

prune7.0ms

Filtered

12 candidates to 17 candidates (-41.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	17	0	17
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	17	4	21

Merged error: 0b

Counts

21 → 4

regimes78.0ms

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	28	11
1	28	11

end0.0ms

sample386.0ms

Algorithm

intervals

Results

259.0ms

8000×

body

valid

Details

analyze46.0ms

sample14.0ms

simplify215.0ms

prune2.0ms

localize11.0ms

rewrite20.0ms

series22.0ms

simplify47.0ms

prune44.0ms

localize8.0ms

rewrite29.0ms

series33.0ms

simplify56.0ms

prune67.0ms

localize10.0ms

rewrite35.0ms

series95.0ms

simplify60.0ms

prune74.0ms

localize3.0ms

rewrite7.0ms

series5.0ms

simplify69.0ms

prune7.0ms

regimes78.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample386.0ms

Profiling