Details

analyze25.0ms

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

valid

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	781	7
1	781	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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

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:

14.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify60.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune24.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `flip-+_binary64`

Counts

4 → 59

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))
4.0ms	(cbrt.f64 (-.f64 x y))
6.0ms	(cbrt.f64 (-.f64 x y))

series112.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt.f64 (+.f64 x y))
26.0ms	(cbrt.f64 (-.f64 x y))
27.0ms	(cbrt.f64 (-.f64 x y))
27.0ms	(cbrt.f64 (-.f64 x y))

simplify73.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4858	575
1	4858	575

prune35.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

306×	`*-un-lft-identity_binary64`
238×	`cbrt-prod_binary64`
190×	`times-frac_binary64`
174×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
53×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
44×	`distribute-lft-out--_binary64`
32×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
14×	`associate-/r/_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64` `unswap-sqr_binary64`
7×	`cbrt-div_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `prod-exp_binary64` `frac-times_binary64` `pow2_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 244

Calls

4 calls:

33.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

series123.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
33.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
30.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
31.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))

simplify81.0ms

Algorithm

egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5388	4537

prune82.0ms

Filtered

154 candidates to 256 candidates (-66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	256	3	259

Merged error: 0.0b

Counts

259 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (-.f64 x y))
0.0b	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.1b	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 6)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity_binary64`
81×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
78×	`cbrt-prod_binary64`
47×	`add-cube-cbrt_binary64`
29×	`unpow-prod-down_binary64`
21×	`distribute-lft-out_binary64`
17×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
7×	`add-exp-log_binary64`
6×	`add-cbrt-cube_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`cbrt-div_binary64` `associate-/l/_binary64` `pow-pow_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

4 → 159

Calls

4 calls:

9.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
9.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
8.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
11.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 6)

series517.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/.f64 (+.f64 x y) (-.f64 x y))
30.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
31.0ms	(cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
446.0ms	(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (-.f64 x y))) 6)

simplify72.0ms

Algorithm

egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5221	2267

prune74.0ms

Filtered

112 candidates to 171 candidates (-52.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	170	4	174

Merged error: 0b

Counts

174 → 4

regimes76.0ms

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	16	7
1	16	7

end0.0ms

sample304.0ms

Algorithm

intervals

Results

176.0ms

8000×

body

valid

Details

analyze25.0ms

sample11.0ms

simplify53.0ms

prune2.0ms

localize5.0ms

rewrite16.0ms

series9.0ms

simplify60.0ms

prune24.0ms

localize13.0ms

rewrite19.0ms

series112.0ms

simplify73.0ms

prune35.0ms

localize10.0ms

rewrite79.0ms

series123.0ms

simplify81.0ms

prune82.0ms

localize10.0ms

rewrite44.0ms

series517.0ms

simplify72.0ms

prune74.0ms

regimes76.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample304.0ms

Profiling