Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample94.0ms

Algorithm

intervals

Results

56.0ms	111×	body	1280	valid
22.0ms	76×	body	640	valid
7.0ms	40×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	10×	body	80	valid

simplify240.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	4889	12
1	4889	12

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: 58.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
5.9b	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity_binary64`
41×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
26×	`log-prod_binary64`
23×	`add-cube-cbrt_binary64`
11×	`distribute-lft-out_binary64`
9×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
5×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 82

Calls

2 calls:

8.0ms	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
7.0ms	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

series10.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1.0 x) (-.f64 1.0 x))
6.0ms	(log.f64 (/.f64 (+.f64 1.0 x) (-.f64 1.0 x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5006	1111

prune113.0ms

Filtered

58 candidates to 88 candidates (-51.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0.1b

Counts

89 → 7

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune13.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	0	0
Total	7	7

Merged error: 0.1b

Counts

7 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
6.0b	(log.f64 (+.f64 1.0 x))
6.0b	(log.f64 (-.f64 1.0 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`log-prod_binary64`
13×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`log-pow_binary64` `distribute-lft-out--_binary64`
5×	`associate--r+_binary64` `add-exp-log_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 60

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
4.0ms	(log.f64 (+.f64 1.0 x))
4.0ms	(log.f64 (-.f64 1.0 x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 (log.f64 (+.f64 1.0 x)) (log.f64 (-.f64 1.0 x)))
3.0ms	(log.f64 (+.f64 1.0 x))
3.0ms	(log.f64 (-.f64 1.0 x))

simplify73.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4922	693
1	4922	693

prune78.0ms

Filtered

53 candidates to 69 candidates (-30.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	2	3	5
Picked	1	0	1
Done	1	0	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

0.1b

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

0.1b

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

85×	`associate-r_binary64` `add-sqr-sqrt_binary64`
78×	`times-frac_binary64`
63×	`unpow-prod-down_binary64`
49×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
34×	`add-exp-log_binary64`
22×	`sqr-pow_binary64`
16×	`unswap-sqr_binary64`
15×	`cube-prod_binary64`
14×	`prod-exp_binary64`
10×	`add-cbrt-cube_binary64` `div-exp_binary64`
8×	`add-log-exp_binary64` `pow-exp_binary64`
7×	`pow-to-exp_binary64`
6×	`associate-l_binary64`
5×	`pow1_binary64`
4×	`associate-*r/_binary64`
3×	`cbrt-unprod_binary64` `cube-div_binary64` `div-inv_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `+-commutative_binary64` `associate-+r+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

3 → 158

Calls

3 calls:

13.0ms

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

19.0ms

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

12.0ms

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

series32.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms

(+.f64 (*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3)) (+.f64 (*.f64 x 2.0) (*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))))

12.0ms

(*.f64 2/5 (/.f64 (pow.f64 x 5) (pow.f64 1.0 5)))

10.0ms

(*.f64 2/3 (pow.f64 (/.f64 x 1.0) 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

167 → 167

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5023	2024

prune227.0ms

Filtered

106 candidates to 167 candidates (-57.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	167	0	167
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	167	5	172

Merged error: 0.0b

Counts

172 → 5

regimes33.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	25
1	25	25

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	3385×	body	1280	valid
716.0ms	2454×	body	640	valid
228.0ms	1282×	body	320	valid
72.0ms	649×	body	160	valid
12.0ms	230×	body	80	valid

Details

analyze5.0ms

sample94.0ms

simplify240.0ms

prune6.0ms

localize8.0ms

rewrite19.0ms

series10.0ms

simplify59.0ms

prune113.0ms

localize14.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune13.0ms

localize9.0ms

rewrite19.0ms

series18.0ms

simplify73.0ms

prune78.0ms

localize14.0ms

rewrite51.0ms

series32.0ms

simplify56.0ms

prune227.0ms

regimes33.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling