Details

analyze77.0ms

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

sample14.0ms

Algorithm

intervals

Results

8.0ms

256×

body

128

valid

simplify135.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4952	25
1	4952	25

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: 24.2b

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))
23.9b	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

rewrite73.0ms

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:

9.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
19.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
25.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

series303.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(*.f64 (+.f64 x y) (+.f64 x y))
62.0ms	(.f64 (.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1))
215.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 (+.f64 x y) (+.f64 x y)) (+.f64 (+.f64 x y) 1)))

simplify96.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4981	3756
1	4981	3756

prune145.0ms

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: 11.0b

Counts

150 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x y) 6)
0.1b	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
21.1b	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
23.9b	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
19×	`add-exp-log_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
15×	`add-cbrt-cube_binary64`
13×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64`
11×	`associate-l_binary64`
7×	`pow1_binary64`
6×	`distribute-lft-out_binary64`
5×	`cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64`
2×	`flip3-+_binary64` `associate-/r/_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate-/r_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(pow.f64 (+.f64 x y) 6)
18.0ms	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
15.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

series471.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(pow.f64 (+.f64 x y) 6)
65.0ms	(*.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1))
27.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) 6))
224.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) 6)) (+.f64 (+.f64 x y) 1)))

simplify66.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4964	1924
1	4964	1924

prune92.0ms

Filtered

67 candidates to 104 candidates (-55.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	102	14	116

Merged error: 11.0b

Counts

116 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
0.1b	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
23.9b	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
41.8b	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64`
26×	`add-cbrt-cube_binary64`
22×	`-un-lft-identity_binary64` `associate-r/_binary64`
18×	`flip3-+_binary64` `flip-+_binary64`
16×	`cbrt-prod_binary64`
15×	`associate-l_binary64`
13×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
12×	`frac-times_binary64`
11×	`pow1_binary64` `add-cube-cbrt_binary64`
8×	`associate-/r/_binary64` `unpow-prod-down_binary64`
6×	`distribute-lft-out_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `associate-*l/_binary64`
5×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
2×	`sqr-pow_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 118

Calls

4 calls:

12.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
19.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
21.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

series517.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
84.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
356.0ms	(/.f64 (.f64 x y) (.f64 (cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2))) (*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))))
38.0ms	(cbrt.f64 (pow.f64 (+.f64 x y) (/.f64 6 2)))

simplify93.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5009	2539

prune118.0ms

Filtered

91 candidates to 130 candidates (-42.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	7	4	11
Picked	1	0	1
Done	2	0	2
Total	139	5	144

Merged error: 3.5b

Counts

144 → 5

localize9.0ms

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))
4.0b	(/.f64 (.f64 y (/.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
6.4b	(*.f64 y (/.f64 x (+.f64 x y)))

rewrite66.0ms

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))
19.0ms	(/.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)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 x (+.f64 x y))
39.0ms	(*.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1))
224.0ms	(/.f64 (.f64 y (/.f64 x (+.f64 x y))) (.f64 (+.f64 x y) (+.f64 (+.f64 x y) 1)))
75.0ms	(*.f64 y (/.f64 x (+.f64 x y)))

simplify65.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5127	2473

prune101.0ms

Filtered

106 candidates to 147 candidates (-38.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	147	5	152

Merged error: 0.0b

Counts

152 → 5

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	25
1	13	25

end0.0ms

sample409.0ms

Algorithm

intervals

Results

274.0ms

8000×

body

128

valid

Details

analyze77.0ms

sample14.0ms

simplify135.0ms

prune2.0ms

localize8.0ms

rewrite73.0ms

series303.0ms

simplify96.0ms

prune145.0ms

localize11.0ms

rewrite52.0ms

series471.0ms

simplify66.0ms

prune92.0ms

localize16.0ms

rewrite72.0ms

series517.0ms

simplify93.0ms

prune118.0ms

localize9.0ms

rewrite66.0ms

series390.0ms

simplify65.0ms

prune101.0ms

regimes28.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample409.0ms

Profiling