Details

analyze34.0ms

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

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify496.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune9.0ms

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))

simplify85.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4916	532
1	4916	532

prune54.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Merged error: 0b

Counts

49 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64`
61×	`add-sqr-sqrt_binary64`
60×	`times-frac_binary64`
52×	`exp-prod_binary64`
35×	`add-cube-cbrt_binary64`
27×	`log-pow_binary64`
16×	`distribute-lft-out_binary64`
13×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
6×	`associate-/r/_binary64`
5×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`flip3--_binary64` `log-prod_binary64` `div-inv_binary64` `flip--_binary64`
2×	`associate-/l/_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

3 → 117

Calls

3 calls:

14.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
9.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series36.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 f n) (-.f64 n f))))
16.0ms	(exp.f64 (/.f64 (+.f64 f n) (-.f64 n f)))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

simplify74.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4956	1165
1	4956	1165

prune88.0ms

Filtered

84 candidates to 126 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	127	4	131

Merged error: 0b

Counts

131 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity_binary64`
190×	`times-frac_binary64`
183×	`add-sqr-sqrt_binary64`
160×	`cbrt-prod_binary64`
89×	`add-cube-cbrt_binary64`
56×	`distribute-lft-out_binary64`
51×	`swap-sqr_binary64`
47×	`distribute-lft-out--_binary64`
35×	`difference-of-squares_binary64`
29×	`associate-r_binary64` `associate-l_binary64`
15×	`associate-/r*_binary64`
14×	`associate-/r/_binary64`
12×	`add-exp-log_binary64` `associate-/l*_binary64`
11×	`pow1_binary64`
10×	`add-cbrt-cube_binary64`
9×	`unswap-sqr_binary64`
7×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
6×	`associate-/l/_binary64` `pow1/3_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64`
3×	`flip3-+_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_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 → 274

Calls

4 calls:

8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
8.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
31.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

series65.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
10.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
32.0ms	(*.f64 (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))) (cbrt.f64 (/.f64 (+.f64 f n) (-.f64 n f))))

simplify70.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	6219	4550

prune167.0ms

Filtered

172 candidates to 286 candidates (-66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	286	4	290

Merged error: 0b

Counts

290 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64`
10×	`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` `distribute-lft-out_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

4 → 57

Calls

4 calls:

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

series128.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 (-.f64 n f))
32.0ms	(cbrt.f64 (+.f64 f n))
32.0ms	(cbrt.f64 (+.f64 f n))
35.0ms	(cbrt.f64 (+.f64 f n))

simplify71.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5067	571

prune62.0ms

Filtered

61 candidates to 69 candidates (-13.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	69	4	73

Merged error: 0b

Counts

73 → 4

regimes79.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	26
1	20	26

end0.0ms

sample317.0ms

Algorithm

intervals

Results

194.0ms

8000×

body

valid

Details

analyze34.0ms

sample16.0ms

simplify496.0ms

prune9.0ms

localize6.0ms

rewrite13.0ms

series19.0ms

simplify85.0ms

prune54.0ms

localize8.0ms

rewrite36.0ms

series36.0ms

simplify74.0ms

prune88.0ms

localize9.0ms

rewrite74.0ms

series65.0ms

simplify70.0ms

prune167.0ms

localize12.0ms

rewrite14.0ms

series128.0ms

simplify71.0ms

prune62.0ms

regimes79.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample317.0ms

Profiling