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

sample41.0ms

Algorithm

intervals

Results

18.0ms	111×	body	1280	valid
8.0ms	81×	body	640	valid
7.0ms	42×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	18×	body	160	valid
0.0ms	4×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

prune1.0ms

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: 59.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.3b	(-.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)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify29.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5144	126

prune17.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`

Counts

2 → 41

Calls

2 calls:

11.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
2.0ms	(*.f64 x 1/6)

simplify45.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4907	352
1	4907	352

prune20.0ms

Filtered

30 candidates to 47 candidates (-56.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	2	49

Merged error: 0.0b

Counts

49 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.0b	(pow.f64 (exp.f64 x) 3)
6.2b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt_binary64`
63×	`*-un-lft-identity_binary64`
48×	`times-frac_binary64`
40×	`difference-of-squares_binary64`
31×	`add-cube-cbrt_binary64`
20×	`difference-of-sqr-1_binary64`
18×	`unpow-prod-down_binary64` `cube-prod_binary64`
16×	`sqr-pow_binary64` `associate-/l*_binary64`
9×	`add-cbrt-cube_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64`
5×	`distribute-lft-out--_binary64`
4×	`associate-r_binary64` `pow-pow_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `associate-l*_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 157

Calls

4 calls:

9.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
15.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
4.0ms	(pow.f64 (exp.f64 x) 3)
8.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

series38.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
22.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
5.0ms	(pow.f64 (exp.f64 x) 3)
6.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

simplify61.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5132	2937

prune76.0ms

Filtered

90 candidates to 169 candidates (-87.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	168	1	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	168	3	171

Merged error: 0.0b

Counts

171 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.0b	(pow.f64 (exp.f64 x) 6)
0.3b	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
6.2b	(-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1)

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

311×	`*-un-lft-identity_binary64`
269×	`add-sqr-sqrt_binary64`
170×	`times-frac_binary64`
140×	`difference-of-squares_binary64`
132×	`unpow-prod-down_binary64`
129×	`cube-prod_binary64`
105×	`distribute-lft-out_binary64`
70×	`difference-of-sqr-1_binary64`
65×	`sqr-pow_binary64`
52×	`add-cube-cbrt_binary64`
34×	`associate-/l*_binary64`
8×	`pow-pow_binary64`
7×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `add-exp-log_binary64` `exp-prod_binary64`
5×	`associate-/r*_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `rem-cube-cbrt_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 314

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 3)
4.0ms	(pow.f64 (exp.f64 x) 6)
30.0ms	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
16.0ms	(-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1)

series73.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(pow.f64 (exp.f64 x) 3)
8.0ms	(pow.f64 (exp.f64 x) 6)
48.0ms	(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1) (+.f64 (pow.f64 (exp.f64 x) 6) (+.f64 (pow.f64 (exp.f64 x) 3) 1)))
12.0ms	(-.f64 (pow.f64 (pow.f64 (exp.f64 x) 3) 3) 1)

simplify75.0ms

Algorithm

egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	4990	8373
1	4990	8373

prune140.0ms

Filtered

97 candidates to 326 candidates (-236.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	325	1	326
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	326	3	329

Merged error: 0.0b

Counts

329 → 3

regimes41.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

526.0ms	3393×	body	1280	valid
243.0ms	2516×	body	640	valid
81.0ms	8000×	pre	80	true
78.0ms	1260×	body	320	valid
24.0ms	627×	body	160	valid
4.0ms	204×	body	80	valid

Details

analyze3.0ms

sample41.0ms

simplify5.0ms

prune1.0ms

localize3.0ms

rewrite5.0ms

series2.0ms

simplify29.0ms

prune17.0ms

localize6.0ms

rewrite16.0ms

series9.0ms

simplify45.0ms

prune20.0ms

localize8.0ms

rewrite41.0ms

series38.0ms

simplify61.0ms

prune76.0ms

localize14.0ms

rewrite75.0ms

series73.0ms

simplify75.0ms

prune140.0ms

regimes41.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling