Details

analyze23.0ms

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

body

128

valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 45

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

series86.0ms

Counts

1 → 3

Calls

1 calls:

86.0ms

(/.f64 (+.f64 x y) (-.f64 x y))

simplify64.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5254	802

prune32.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	4	49

Merged error: 0b

Counts

49 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
100×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
58×	`cbrt-prod_binary64`
56×	`add-cube-cbrt_binary64`
52×	`unpow-prod-down_binary64` `cube-prod_binary64`
26×	`distribute-lft-out_binary64`
21×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
10×	`associate-/r/_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`pow1_binary64` `associate-/l*_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `cube-div_binary64` `rem-cube-cbrt_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

3 → 185

Calls

3 calls:

9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
13.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

series324.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
99.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3))
134.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)

simplify65.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5414	3741

prune70.0ms

Filtered

85 candidates to 194 candidates (-128.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	195	3	198

Merged error: 0b

Counts

198 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)))
0.0b	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
0.0b	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
0.0b	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

407×	`*-un-lft-identity_binary64`
369×	`cbrt-prod_binary64`
356×	`unpow-prod-down_binary64` `cube-prod_binary64`
280×	`times-frac_binary64`
267×	`add-sqr-sqrt_binary64`
155×	`add-cube-cbrt_binary64`
70×	`distribute-lft-out_binary64`
56×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
28×	`associate-/r/_binary64`
14×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
11×	`add-exp-log_binary64`
10×	`sqr-pow_binary64` `unpow3_binary64` `cube-mult_binary64`
8×	`add-cbrt-cube_binary64` `pow-exp_binary64`
7×	`cube-div_binary64`
6×	`pow-unpow_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-div_binary64` `pow-to-exp_binary64` `rem-cube-cbrt_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64` `div-exp_binary64`
1×	`rem-cbrt-cube_binary64` `cbrt-undiv_binary64`

Counts

4 → 475

Calls

4 calls:

36.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)))
23.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
12.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
23.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)

series562.0ms

Counts

4 → 12

Calls

4 calls:

151.0ms	(cbrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)))
154.0ms	(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3))
107.0ms	(pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3)
150.0ms	(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (-.f64 x y)) 3) 3)

simplify161.0ms

Algorithm

egg-herbie

Counts

487 → 487

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5293	11480

prune113.0ms

Filtered

116 candidates to 487 candidates (-319.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	487	0	487
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	487	3	490

Merged error: 0b

Counts

490 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 x y))
0.1b	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
0.1b	(/.f64 1 (sqrt.f64 (-.f64 x y)))
0.2b	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

154×	`add-sqr-sqrt_binary64`
147×	`*-un-lft-identity_binary64`
134×	`times-frac_binary64`
96×	`sqrt-prod_binary64`
73×	`add-cube-cbrt_binary64`
38×	`associate-r_binary64`
30×	`associate-l_binary64`
26×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
17×	`distribute-lft-out_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
16×	`associate-/r*_binary64`
15×	`unswap-sqr_binary64`
10×	`sqrt-div_binary64`
9×	`pow1_binary64`
8×	`associate-/r/_binary64`
7×	`associate-/l*_binary64` `div-exp_binary64`
6×	`cbrt-undiv_binary64` `prod-exp_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `div-inv_binary64`
3×	`rec-exp_binary64` `pow-flip_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `flip-+_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 236

Calls

4 calls:

4.0ms	(sqrt.f64 (-.f64 x y))
41.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
7.0ms	(/.f64 1 (sqrt.f64 (-.f64 x y)))
9.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))

series435.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(sqrt.f64 (-.f64 x y))
83.0ms	(*.f64 (/.f64 1 (sqrt.f64 (-.f64 x y))) (/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y))))
149.0ms	(/.f64 1 (sqrt.f64 (-.f64 x y)))
144.0ms	(/.f64 (+.f64 x y) (sqrt.f64 (-.f64 x y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

248 → 248

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5060	4982

prune120.0ms

Filtered

140 candidates to 248 candidates (-77.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	248	3	251

Merged error: 0b

Counts

251 → 3

regimes31.0ms

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	22	20
1	22	20

end0.0ms

sample323.0ms

Algorithm

intervals

Results

179.0ms

8000×

body

128

valid

Details

analyze23.0ms

sample11.0ms

simplify60.0ms

prune1.0ms

localize9.0ms

rewrite12.0ms

series86.0ms

simplify64.0ms

prune32.0ms

localize7.0ms

rewrite54.0ms

series324.0ms

simplify65.0ms

prune70.0ms

localize9.0ms

rewrite164.0ms

series562.0ms

simplify161.0ms

prune113.0ms

localize8.0ms

rewrite88.0ms

series435.0ms

simplify79.0ms

prune120.0ms

regimes31.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample323.0ms

Profiling