Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample35.0ms

Algorithm

intervals

Results

17.0ms	130×	body	1024	valid
5.0ms	60×	body	512	valid
4.0ms	24×	body	2048	valid
3.0ms	256×	pre	128	true
1.0ms	29×	body	256	valid
0.0ms	13×	body	128	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	6
1	8	6

prune6.0ms

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: 59.1b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.0b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

(-.f64 (exp.f64 x) 1)

simplify69.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4936	196
1	4936	196

prune18.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	17	2	19

Merged error: 0.0b

Counts

19 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.0b	(+.f64 1/2 (*.f64 x 1/6))
0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.3b	(*.f64 x 1/6)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
9×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-*r/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64`
1×	`+-commutative_binary64` `sum-log_binary64`

Counts

4 → 75

Calls

4 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
3.0ms	(+.f64 1/2 (*.f64 x 1/6))
7.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
4.0ms	(*.f64 x 1/6)

series248.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
46.0ms	(+.f64 1/2 (*.f64 x 1/6))
98.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
27.0ms	(*.f64 x 1/6)

simplify71.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4918	968
1	4918	968

prune51.0ms

Filtered

57 candidates to 87 candidates (-52.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0.0b

Counts

89 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
5.9b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
24×	`difference-of-sqr--1_binary64`
21×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`
9×	`unpow-prod-down_binary64`
8×	`add-log-exp_binary64` `associate-/l*_binary64`
7×	`unpow2_binary64` `sqr-pow_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `pow-pow_binary64` `flip-+_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 109

Calls

4 calls:

4.0ms	(+.f64 (exp.f64 x) 1)
3.0ms	(pow.f64 (exp.f64 x) 2)
12.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

series174.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (exp.f64 x) 1)
21.0ms	(pow.f64 (exp.f64 x) 2)
105.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 (exp.f64 x) 1))
37.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

simplify62.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	1939

prune71.0ms

Filtered

78 candidates to 121 candidates (-55.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	3	123

Merged error: 0.0b

Counts

123 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2)))
0.0b	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2))))
0.0b	(pow.f64 (exp.f64 x) 2)
5.9b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity_binary64`
33×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
24×	`difference-of-sqr--1_binary64`
21×	`add-cube-cbrt_binary64`
16×	`distribute-lft-out_binary64`
11×	`add-log-exp_binary64`
9×	`unpow-prod-down_binary64`
8×	`associate-/l*_binary64`
7×	`unpow2_binary64` `sqr-pow_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `pow-pow_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64` `+-commutative_binary64`
1×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64` `pow-exp_binary64`

Counts

4 → 111

Calls

4 calls:

6.0ms	(+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2)))
15.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2))))
4.0ms	(pow.f64 (exp.f64 x) 2)
6.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

series162.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2)))
90.0ms	(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (+.f64 x (+.f64 2 (.f64 (.f64 x x) 1/2))))
20.0ms	(pow.f64 (exp.f64 x) 2)
33.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

simplify88.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4939	3035
1	4939	3035

prune92.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	123	3	126

Merged error: 0.0b

Counts

126 → 3

regimes19.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample1.1s

Algorithm

intervals

Results

578.0ms	3989×	body	1024	valid
157.0ms	2007×	body	512	valid
85.0ms	8000×	pre	128	true
61.0ms	394×	body	2048	valid
49.0ms	1033×	body	256	valid
16.0ms	577×	body	128	valid

Details

analyze3.0ms

sample35.0ms

simplify7.0ms

prune6.0ms

localize3.0ms

rewrite5.0ms

series18.0ms

simplify69.0ms

prune18.0ms

localize8.0ms

rewrite25.0ms

series248.0ms

simplify71.0ms

prune51.0ms

localize8.0ms

rewrite35.0ms

series174.0ms

simplify62.0ms

prune71.0ms

localize12.0ms

rewrite41.0ms

series162.0ms

simplify88.0ms

prune92.0ms

regimes19.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling