Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	50%	50%	2
25%	25%	50%	3
25%	12.5%	62.5%	4
25%	6.2%	68.8%	5
25%	3.1%	71.9%	6
25%	1.6%	73.5%	7
25%	0.8%	74.2%	8
25%	0.4%	74.6%	9
25%	0.2%	74.8%	10
25%	0.1%	74.9%	11
25%	0%	75%	12
25%	0%	75%	13
25%	0%	75%	14

sample13.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify196.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	5493	10

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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

1.0ms	(log.f64 (log.f64 x))
5.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

series270.0ms

Counts

2 → 6

Calls

2 calls:

112.0ms	(log.f64 (log.f64 x))
158.0ms	(-.f64 (log.f64 x) (log.f64 (log.f64 x)))

simplify82.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5199	464

prune21.0ms

Filtered

25 candidates to 42 candidates (-68.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(log.f64 (/.f64 x (log.f64 x)))
0.3b	(/.f64 x (log.f64 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

24×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
16×	`log-prod_binary64`
10×	`pow1_binary64`
8×	`log-pow_binary64`
7×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64`

Counts

2 → 58

Calls

2 calls:

3.0ms	(log.f64 (/.f64 x (log.f64 x)))
3.0ms	(/.f64 x (log.f64 x))

series253.0ms

Counts

2 → 6

Calls

2 calls:

152.0ms	(log.f64 (/.f64 x (log.f64 x)))
100.0ms	(/.f64 x (log.f64 x))

simplify150.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5124	799

prune25.0ms

Filtered

41 candidates to 64 candidates (-56.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (log.f64 x))
0.3b	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
0.5b	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
0.7b	(pow.f64 (log.f64 (log.f64 x)) 3)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
18×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
12×	`pow1_binary64` `add-cube-cbrt_binary64`
9×	`unpow-prod-down_binary64` `cube-prod_binary64`
7×	`log-prod_binary64` `log-pow_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`pow-unpow_binary64` `sqr-pow_binary64` `associate--l+_binary64`
2×	`distribute-lft-out--_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `rem-cbrt-cube_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `flip--_binary64` `pow-exp_binary64`

Counts

4 → 82

Calls

4 calls:

1.0ms	(log.f64 (log.f64 x))
9.0ms	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
2.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
3.0ms	(pow.f64 (log.f64 (log.f64 x)) 3)

series537.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(log.f64 (log.f64 x))
153.0ms	(-.f64 (log.f64 x) (cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3)))
118.0ms	(cbrt.f64 (pow.f64 (log.f64 (log.f64 x)) 3))
156.0ms	(pow.f64 (log.f64 (log.f64 x)) 3)

simplify92.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4962	1045
1	4962	1045

prune31.0ms

Filtered

46 candidates to 94 candidates (-104.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	94	2	96

Merged error: 0b

Counts

96 → 2

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	8
1	5	8

end0.0ms

sample385.0ms

Algorithm

intervals

Results

290.0ms	8000×	body	80	valid
0.0ms	5×	body	80	nan

Details

analyze3.0ms

sample13.0ms

simplify196.0ms

prune1.0ms

localize5.0ms

rewrite8.0ms

series270.0ms

simplify82.0ms

prune21.0ms

localize5.0ms

rewrite8.0ms

series253.0ms

simplify150.0ms

prune25.0ms

localize11.0ms

rewrite18.0ms

series537.0ms

simplify92.0ms

prune31.0ms

regimes15.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample385.0ms

Profiling