Details

analyze659.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	97×	body	80	invalid

simplify189.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (181.0ms)

Iter	Nodes	Cost
0	1745	13
1	1745	13

prune1.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64` `times-frac_binary64`
4×	`distribute-lft-out--_binary64`
3×	`add-cube-cbrt_binary64`
2×	`associate-/l/_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `div-exp_binary64`
1×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `div-sub_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify69.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5066	513

prune24.0ms

Filtered

23 candidates to 33 candidates (-43.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
0.0b	(/.f64 (+.f64 x y) (*.f64 t 2))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
8×	`times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-/l*_binary64`
3×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-rgt-out--_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 43

Calls

2 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
8.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series67.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
30.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5089	844

prune33.0ms

Filtered

35 candidates to 49 candidates (-40.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	49	3	52

Merged error: 0.0b

Counts

52 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (+.f64 x y) z))
0.0b	(sqrt.f64 (-.f64 (+.f64 x y) z))
0.1b	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t)
0.2b	(*.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t) (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) 2))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

116×	`*-un-lft-identity_binary64`
112×	`add-sqr-sqrt_binary64`
93×	`times-frac_binary64`
78×	`sqrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
31×	`associate-r_binary64` `associate-l_binary64`
24×	`distribute-lft-out--_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`distribute-lft-out_binary64` `difference-of-squares_binary64`
9×	`unswap-sqr_binary64` `associate-/l*_binary64`
8×	`pow1_binary64`
6×	`sqrt-div_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 180

Calls

4 calls:

7.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))
6.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))
10.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t)
35.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t) (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) 2))

series173.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))
38.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))
59.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t)
41.0ms	(*.f64 (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) t) (/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) 2))

simplify89.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5130	3940

prune113.0ms

Filtered

124 candidates to 192 candidates (-54.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	191	1	192
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	193	2	195

Merged error: 0b

Counts

195 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (/.f64 x t) (/.f64 z t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`times-frac_binary64`
4×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
2×	`div-inv_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

1 → 22

Calls

1 calls:

14.0ms

(-.f64 (/.f64 x t) (/.f64 z t))

series23.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(-.f64 (/.f64 x t) (/.f64 z t))

simplify61.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	415
1	4983	415

prune21.0ms

Filtered

20 candidates to 25 candidates (-25.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	19
1	31	19

end0.0ms

sample615.0ms

Algorithm

intervals

Results

256.0ms	8000×	body	80	valid
85.0ms	2716×	body	80	invalid

Details

analyze659.0ms

sample22.0ms

simplify189.0ms

prune1.0ms

localize7.0ms

rewrite11.0ms

series40.0ms

simplify69.0ms

prune24.0ms

localize8.0ms

rewrite22.0ms

series67.0ms

simplify50.0ms

prune33.0ms

localize9.0ms

rewrite70.0ms

series173.0ms

simplify89.0ms

prune113.0ms

localize9.0ms

rewrite15.0ms

series23.0ms

simplify61.0ms

prune21.0ms

regimes63.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample615.0ms

Profiling