Details

sample86.0ms

Algorithm

intervals

Results

44.0ms	105×	body	1280	valid
20.0ms	88×	body	640	valid
5.0ms	234×	body	80	nan
5.0ms	39×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	6×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 58.8b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.5b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

8.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
7.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
123.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify140.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	354	672
1	1096	638
2	4786	623
3	5001	622

prune158.0ms

Filtered

93 candidates to 63 candidates (67.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	87	6	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	6	94

Merged error: 0.2b

Counts

94 → 6

localize9.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 0.2b

Counts

6 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
5.5b	(log (- 1.0 eps))
5.5b	(log (+ 1.0 eps))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`pow1` `log-prod`
16×	`add-cube-cbrt` `prod-diff`
15×	`log-pow`
8×	`log-div`
6×	`distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `flip3--` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 87

Calls

3 calls:

10.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.0ms	(log (- 1.0 eps))
3.0ms	(log (+ 1.0 eps))

series333.0ms

Counts

3 → 9

Calls

3 calls:

250.0ms	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
44.0ms	(log (- 1.0 eps))
39.0ms	(log (+ 1.0 eps))

simplify130.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	377	836
1	1105	638
2	4792	623
3	5001	623

prune146.0ms

Filtered

96 candidates to 64 candidates (66.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (- (* 2/3 (/ (pow eps 3) (pow 1.0 3)))) (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps)))
0.2b	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

160×	`times-frac`
148×	`associate-r`
130×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
86×	`add-cube-cbrt`
80×	`unpow-prod-down` `cube-prod`
32×	`sqr-pow`
25×	`add-exp-log`
24×	`cube-mult` `unpow3`
18×	`prod-diff`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `fma-neg` `pow-exp` `add-log-exp`
4×	`pow1` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
3×	`associate-l`
2×	`expm1-log1p-u` `diff-log` `cbrt-unprod` `log1p-expm1-u`
1×	`cbrt-undiv` `associate--l-` `neg-sub0` `sub-neg` `flip3--` `associate-r/` `pow-prod-down` `neg-log` `-commutative` `flip--` `fma-udef` `div-inv` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 235

Calls

2 calls:

6.0ms	(- (- (* 2/3 (/ (pow eps 3) (pow 1.0 3)))) (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps)))
35.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

series172.0ms

Counts

2 → 6

Calls

2 calls:

99.0ms	(- (- (* 2/3 (/ (pow eps 3) (pow 1.0 3)))) (fma 2/5 (/ (pow eps 5) (pow 1.0 5)) (* 2.0 eps)))
73.0ms	(* 2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify108.0ms

Algorithm

egg-herbie

Counts

241 → 241

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	830	2153
1	3822	1560
2	5002	1552

prune434.0ms

Filtered

241 candidates to 115 candidates (47.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	241	0	241
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	241	3	244

Merged error: 0.0b

Counts

244 → 3

regimes45.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	24	11
1	28	11
2	28	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	3334×	body	1280	valid
592.0ms	2631×	body	640	valid
178.0ms	7952×	body	80	nan
157.0ms	1204×	body	320	valid
50.0ms	649×	body	160	valid
6.0ms	182×	body	80	valid