Details

analyze33.0ms

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

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify473.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite13.0ms

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:

10.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

simplify81.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4916	532
1	4916	532

prune42.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	7	49

Merged error: 0.0b

Counts

49 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite39.0ms

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:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
11.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series43.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(cbrt.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3))
16.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 3)
13.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify40.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5559	2496

prune61.0ms

Filtered

85 candidates to 194 candidates (-128.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	194	7	201

Merged error: 0.0b

Counts

201 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
0.0b	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

127×	`*-un-lft-identity_binary64`
83×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
26×	`unpow-prod-down_binary64` `cbrt-prod_binary64`
22×	`distribute-lft-out_binary64`
18×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`add-exp-log_binary64`
10×	`associate-/r*_binary64`
8×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
5×	`pow1_binary64`
4×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`pow-unpow_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `pow-to-exp_binary64` `unpow2_binary64` `pow1/3_binary64` `pow-pow_binary64` `sqr-pow_binary64`

Counts

4 → 167

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
7.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
11.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series56.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) 2)
26.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify53.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5163	2177

prune81.0ms

Filtered

116 candidates to 179 candidates (-54.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	179	7	186

Merged error: 0b

Counts

186 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 n f))
0.5b	(cbrt.f64 (-.f64 n f))
0.5b	(cbrt.f64 (-.f64 n f))
0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`swap-sqr_binary64` `pow1/3_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 n f))
3.0ms	(cbrt.f64 (-.f64 n f))
3.0ms	(cbrt.f64 (-.f64 n f))
13.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(cbrt.f64 (-.f64 n f))
29.0ms	(cbrt.f64 (-.f64 n f))
26.0ms	(cbrt.f64 (-.f64 n f))
45.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))

simplify76.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4870	1037
1	4870	1037

prune49.0ms

Filtered

83 candidates to 110 candidates (-32.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	110	7	117

Merged error: 0b

Counts

117 → 7

regimes73.0ms

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	19	10
1	19	10

end0.0ms

sample329.0ms

Algorithm

intervals

Results

202.0ms

8000×

body

valid

Details

analyze33.0ms

sample15.0ms

simplify473.0ms

prune8.0ms

localize6.0ms

rewrite13.0ms

series19.0ms

simplify81.0ms

prune42.0ms

localize7.0ms

rewrite39.0ms

series43.0ms

simplify40.0ms

prune61.0ms

localize10.0ms

rewrite44.0ms

series56.0ms

simplify53.0ms

prune81.0ms

localize12.0ms

rewrite27.0ms

series125.0ms

simplify76.0ms

prune49.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample329.0ms

Profiling