Details

analyze301.0ms

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

sample14.0ms

Algorithm

intervals

Results

7.0ms

256×

body

128

valid

simplify238.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune6.0ms

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))

rewrite15.0ms

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))

series102.0ms

Counts

1 → 3

Calls

1 calls:

102.0ms

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

simplify63.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5379	802

prune35.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.0b

Counts

49 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity_binary64`
85×	`add-sqr-sqrt_binary64`
80×	`times-frac_binary64`
47×	`add-cube-cbrt_binary64`
26×	`cbrt-prod_binary64`
23×	`distribute-lft-out_binary64`
19×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
15×	`associate-/r*_binary64`
12×	`associate-/l*_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/r/_binary64`
6×	`associate-/l/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `div-inv_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`cbrt-div_binary64` `pow1/3_binary64`

Counts

4 → 170

Calls

4 calls:

11.0ms	(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))
9.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series417.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
75.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
74.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
77.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify71.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5027	3261

prune121.0ms

Filtered

122 candidates to 182 candidates (-49.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	181	5	186

Merged error: 0.0b

Counts

186 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 n f))
0.2b	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
39×	`*-un-lft-identity_binary64`
32×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
12×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r*_binary64` `pow1_binary64`
4×	`associate-/r/_binary64` `associate-l_binary64`
3×	`unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

2 → 88

Calls

2 calls:

6.0ms	(/.f64 1 (-.f64 n f))
18.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/.f64 1 (-.f64 n f))
87.0ms	(*.f64 (+.f64 f n) (/.f64 1 (-.f64 n f)))

simplify63.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5261	1160

prune41.0ms

Filtered

57 candidates to 94 candidates (-64.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Merged error: 0.0b

Counts

99 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_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 → 95

Calls

4 calls:

12.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
5.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
4.0ms	(cbrt.f64 (+.f64 f n))

series901.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
208.0ms	(cbrt.f64 (+.f64 f n))
211.0ms	(cbrt.f64 (+.f64 f n))
213.0ms	(cbrt.f64 (+.f64 f n))

simplify70.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4928	1508
1	4928	1508

prune94.0ms

Filtered

74 candidates to 107 candidates (-44.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	0	1
Done	0	3	3
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes32.0ms

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	17	10
1	17	10

end0.0ms

sample316.0ms

Algorithm

intervals

Results

189.0ms

8000×

body

128

valid

Details

analyze301.0ms

sample14.0ms

simplify238.0ms

prune6.0ms

localize6.0ms

rewrite15.0ms

series102.0ms

simplify63.0ms

prune35.0ms

localize8.0ms

rewrite60.0ms

series417.0ms

simplify71.0ms

prune121.0ms

localize6.0ms

rewrite32.0ms

series128.0ms

simplify63.0ms

prune41.0ms

localize15.0ms

rewrite38.0ms

series901.0ms

simplify70.0ms

prune94.0ms

regimes32.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample316.0ms

Profiling