Details

analyze79.0ms

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
12.5%	87.4%	0.1%	5
46.8%	53.1%	0.1%	6
70.2%	29.7%	0.1%	7
76.5%	23.4%	0.1%	8
83.5%	16.4%	0.1%	9
87%	12.9%	0.1%	10
91.1%	8.8%	0.1%	11
93.2%	6.7%	0.1%	12
95.4%	4.5%	0.1%	13
96.5%	3.4%	0.1%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4952	17
1	4952	17

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: 21.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))
0.1b	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
21.1b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

60×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*l/_binary64`
27×	`*-un-lft-identity_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*r/_binary64`
15×	`pow1_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`distribute-lft-out_binary64` `associate-r_binary64`
8×	`add-cube-cbrt_binary64`
6×	`swap-sqr_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
5×	`associate-l_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow-prod-up_binary64` `pow-plus_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-sqr_binary64` `pow2_binary64`

Counts

3 → 140

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
17.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
21.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series37.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
9.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
23.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify75.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4977	2525
1	4977	2525

prune108.0ms

Filtered

92 candidates to 149 candidates (-62.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	138	11	149
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	12	150

Merged error: 8.2b

Counts

150 → 12

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
0.1b	(.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
21.1b	(/.f64 (.f64 x y) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

60×	`flip3-+_binary64` `flip-+_binary64` `frac-times_binary64`
31×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`associate-*r/_binary64`
26×	`associate-/r/_binary64`
18×	`associate-*l/_binary64`
15×	`*-un-lft-identity_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow1_binary64`
8×	`associate-l_binary64` `add-sqr-sqrt_binary64`
6×	`associate-r_binary64` `cbrt-undiv_binary64` `add-cube-cbrt_binary64` `div-exp_binary64`
5×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64`
3×	`add-log-exp_binary64`
2×	`*-commutative_binary64`
1×	`associate-/r_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

3 → 131

Calls

3 calls:

12.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
17.0ms	(.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
22.0ms	(/.f64 (.f64 x y) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))

series40.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
11.0ms	(.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
21.0ms	(/.f64 (.f64 x y) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))

simplify57.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5417	2591

prune81.0ms

Filtered

92 candidates to 140 candidates (-52.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	4	140
Fresh	8	2	10
Picked	1	0	1
Done	0	1	1
Total	145	7	152

Merged error: 1.4b

Counts

152 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
2.3b	(/.f64 (.f64 y (/.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
5.1b	(*.f64 y (/.f64 x (+.f64 x y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity_binary64`
34×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
31×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
24×	`add-cube-cbrt_binary64`
23×	`associate-r_binary64`
14×	`flip3-+_binary64` `flip-+_binary64`
12×	`associate-/r/_binary64`
11×	`distribute-lft-out_binary64`
10×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
8×	`pow1_binary64` `frac-times_binary64`
7×	`associate-l_binary64`
6×	`associate-*r/_binary64`
5×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `associate-/l_binary64` `associate-l/_binary64`
3×	`unswap-sqr_binary64` `div-inv_binary64`
2×	`pow-prod-down_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

4 → 135

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 x y))
12.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
18.0ms	(/.f64 (.f64 y (/.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
11.0ms	(*.f64 y (/.f64 x (+.f64 x y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/.f64 x (+.f64 x y))
6.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
20.0ms	(/.f64 (.f64 y (/.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
8.0ms	(*.f64 y (/.f64 x (+.f64 x y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5130	1663

prune71.0ms

Filtered

106 candidates to 147 candidates (-38.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	145	2	147
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	148	6	154

Merged error: 0b

Counts

154 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 y x))
0.0b	(/.f64 y (+.f64 y x))
0.0b	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
0.1b	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) (+.f64 (+.f64 x y) 1))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
57×	`times-frac_binary64`
52×	`add-sqr-sqrt_binary64`
40×	`add-cube-cbrt_binary64`
38×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`distribute-lft-out_binary64`
18×	`associate-r_binary64` `associate-l_binary64`
15×	`cbrt-undiv_binary64` `div-exp_binary64`
13×	`associate-/r*_binary64`
10×	`associate-/r/_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-/l*_binary64`
6×	`pow1_binary64`
5×	`flip3-+_binary64` `div-inv_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64`
3×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `*-commutative_binary64`

Counts

4 → 162

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 y x))
6.0ms	(/.f64 y (+.f64 y x))
18.0ms	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
20.0ms	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) (+.f64 (+.f64 x y) 1))

series47.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 x (+.f64 y x))
9.0ms	(/.f64 y (+.f64 y x))
12.0ms	(*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x)))
20.0ms	(/.f64 (*.f64 (/.f64 x (+.f64 y x)) (/.f64 y (+.f64 y x))) (+.f64 (+.f64 x y) 1))

simplify36.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5207	1996

prune61.0ms

Filtered

121 candidates to 174 candidates (-43.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	174	6	180

Merged error: 0b

Counts

180 → 6

regimes90.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	17
1	13	17

end0.0ms

sample417.0ms

Algorithm

intervals

Results

285.0ms

8000×

body

valid

Details

analyze79.0ms

sample20.0ms

simplify115.0ms

prune2.0ms

localize8.0ms

rewrite55.0ms

series37.0ms

simplify75.0ms

prune108.0ms

localize8.0ms

rewrite59.0ms

series40.0ms

simplify57.0ms

prune81.0ms

localize10.0ms

rewrite51.0ms

series43.0ms

simplify40.0ms

prune71.0ms

localize9.0ms

rewrite55.0ms

series47.0ms

simplify36.0ms

prune61.0ms

regimes90.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample417.0ms

Profiling