Details

analyze61.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
67.1%	32.8%	0.1%	7
71%	28.9%	0.1%	8
82.3%	17.6%	0.1%	9
84.9%	15%	0.1%	10
90.8%	9.1%	0.1%	11
92.2%	7.7%	0.1%	12
95.3%	4.6%	0.1%	13
96%	3.9%	0.1%	14

sample13.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	18	7
1	18	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: 7.8b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

7.4b	(/.f64 (*.f64 x y) (+.f64 y 1.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `times-frac_binary64`
3×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 25

Calls

1 calls:

7.0ms

(/.f64 (*.f64 x y) (+.f64 y 1.0))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(/.f64 (*.f64 x y) (+.f64 y 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5421	248

prune36.0ms

Filtered

20 candidates to 28 candidates (-40.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (+.f64 y 1.0))
0.0b	(*.f64 x (/.f64 y (+.f64 y 1.0)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 70

Calls

2 calls:

5.0ms	(/.f64 y (+.f64 y 1.0))
10.0ms	(*.f64 x (/.f64 y (+.f64 y 1.0)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 y (+.f64 y 1.0))
9.0ms	(*.f64 x (/.f64 y (+.f64 y 1.0)))

simplify68.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5485	665

prune61.0ms

Filtered

51 candidates to 76 candidates (-49.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	76	4	80

Merged error: 0b

Counts

80 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 y 1.0))
0.1b	(/.f64 x (sqrt.f64 (+.f64 y 1.0)))
0.1b	(/.f64 y (sqrt.f64 (+.f64 y 1.0)))
2.0b	(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1.0))) (/.f64 y (sqrt.f64 (+.f64 y 1.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

96×	`add-sqr-sqrt_binary64` `times-frac_binary64`
95×	`*-un-lft-identity_binary64`
66×	`sqrt-prod_binary64`
65×	`add-cube-cbrt_binary64`
27×	`associate-r_binary64` `associate-l_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`distribute-lft-out_binary64`
14×	`associate-/r*_binary64`
10×	`sqrt-div_binary64`
9×	`unswap-sqr_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64`
6×	`cbrt-undiv_binary64` `associate-/l*_binary64` `div-exp_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `div-inv_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 189

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 y 1.0))
7.0ms	(/.f64 x (sqrt.f64 (+.f64 y 1.0)))
6.0ms	(/.f64 y (sqrt.f64 (+.f64 y 1.0)))
26.0ms	(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1.0))) (/.f64 y (sqrt.f64 (+.f64 y 1.0))))

series42.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 y 1.0))
15.0ms	(/.f64 x (sqrt.f64 (+.f64 y 1.0)))
13.0ms	(/.f64 y (sqrt.f64 (+.f64 y 1.0)))
9.0ms	(*.f64 (/.f64 x (sqrt.f64 (+.f64 y 1.0))) (/.f64 y (sqrt.f64 (+.f64 y 1.0))))

simplify75.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4964	2560
1	4964	2560

prune164.0ms

Filtered

129 candidates to 201 candidates (-55.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	201	4	205

Merged error: 0b

Counts

205 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0)))
0.1b	(*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
11×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 54

Calls

2 calls:

5.0ms	(+.f64 x (*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0)))
13.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0))

series22.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 x (*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 (/.f64 1.0 y) 1.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4981	733
1	4981	733

prune49.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	60	4	64

Merged error: 0b

Counts

64 → 4

regimes105.0ms

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	8	7
1	8	7

end0.0ms

sample311.0ms

Algorithm

intervals

Results

184.0ms

8000×

body

valid

Details

analyze61.0ms

sample13.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite7.0ms

series9.0ms

simplify56.0ms

prune36.0ms

localize5.0ms

rewrite18.0ms

series13.0ms

simplify68.0ms

prune61.0ms

localize7.0ms

rewrite50.0ms

series42.0ms

simplify75.0ms

prune164.0ms

localize9.0ms

rewrite20.0ms

series22.0ms

simplify54.0ms

prune49.0ms

regimes105.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample311.0ms

Profiling