Details

analyze343.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
25%	62.5%	12.5%	4
25%	56.2%	18.8%	5
28.1%	50%	21.9%	6
29.7%	46.9%	23.5%	7
30.5%	45.3%	24.3%	8
30.8%	44.9%	24.3%	9
31.2%	44.5%	24.3%	10
31.3%	44.4%	24.3%	11
31.4%	44.3%	24.3%	12
31.4%	44.2%	24.3%	13
31.5%	44.2%	24.3%	14

sample31.0ms

Algorithm

intervals

Results

14.0ms	77×	body	1280	valid
6.0ms	50×	body	640	valid
2.0ms	29×	body	320	valid
2.0ms	86×	body	80	valid
1.0ms	14×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	9	7
1	9	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: 42.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.6b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/r*_binary64`
5×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`add-exp-log_binary64` `associate-/l*_binary64`
2×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 60

Calls

2 calls:

8.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
4.0ms	(-.f64 (exp.f64 x) 1)

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(-.f64 (exp.f64 x) 1)

simplify59.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4930	697
1	4930	697

prune69.0ms

Filtered

42 candidates to 66 candidates (-57.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	63	3	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	3	67

Merged error: 0b

Counts

67 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.4b	(*.f64 x 1/12)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

4.0ms

(*.f64 x 1/12)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(*.f64 x 1/12)

simplify38.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4761	88
1	4761	88

prune21.0ms

Filtered

13 candidates to 21 candidates (-61.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0b

Counts

24 → 3

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
4.7b	(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
6×	`associate-/r*_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3--_binary64` `associate-/r/_binary64` `div-exp_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-inv_binary64` `pow-flip_binary64`

Counts

2 → 59

Calls

2 calls:

7.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.0ms	(-.f64 1 (exp.f64 (neg.f64 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5280	640

prune40.0ms

Filtered

36 candidates to 65 candidates (-80.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	65	3	68

Merged error: 0b

Counts

68 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.4b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
0.5b	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
4.5b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

274×	`times-frac_binary64`
238×	`*-un-lft-identity_binary64`
156×	`add-sqr-sqrt_binary64`
112×	`add-cube-cbrt_binary64`
88×	`difference-of-sqr--1_binary64`
63×	`distribute-lft-out_binary64`
42×	`associate-/r*_binary64`
25×	`unpow-prod-down_binary64`
23×	`unpow2_binary64` `sqr-pow_binary64`
11×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
9×	`add-exp-log_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`cbrt-undiv_binary64` `pow-pow_binary64` `div-exp_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-to-exp_binary64` `+-commutative_binary64` `pow-exp_binary64` `sum-log_binary64`

Counts

4 → 267

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 2)
12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
18.0ms	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

series34.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(pow.f64 (exp.f64 x) 2)
10.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
16.0ms	(/.f64 (exp.f64 x) (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1)))
4.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

simplify59.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5062	4956

prune206.0ms

Filtered

163 candidates to 279 candidates (-71.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	279	0	279
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	279	3	282

Merged error: 0b

Counts

282 → 3

regimes55.0ms

Accuracy

97.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 21.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	28
1	25	28

end0.0ms

sample891.0ms

Algorithm

intervals

Results

417.0ms	2300×	body	1280	valid
188.0ms	1576×	body	640	valid
70.0ms	2866×	body	80	valid
64.0ms	831×	body	320	valid
25.0ms	427×	body	160	valid

Details

analyze343.0ms

sample31.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite14.0ms

series9.0ms

simplify59.0ms

prune69.0ms

localize6.0ms

rewrite4.0ms

series2.0ms

simplify38.0ms

prune21.0ms

localize5.0ms

rewrite14.0ms

series8.0ms

simplify59.0ms

prune40.0ms

localize9.0ms

rewrite58.0ms

series34.0ms

simplify59.0ms

prune206.0ms

regimes55.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample891.0ms

Profiling