Details

sample166.0ms

Algorithm

intervals

Results

84.0ms	1682×	body	80	nan
15.0ms	256×	body	80	valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	27	9
1	61	8
2	161	8
3	393	8
4	984	8
5	2256	8
6	4095	8
7	5001	8

prune10.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.3b

Counts

2 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.2b	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
28×	`pow1`
25×	`log-pow` `distribute-lft-out`
21×	`prod-diff`
19×	`add-sqr-sqrt`
17×	`add-cube-cbrt`
7×	`log-prod` `fma-neg`
6×	`add-log-exp`
5×	`distribute-lft-out--`
4×	`associate-+l-` `log-div` `associate-+l+` `fma-def`
3×	`add-exp-log` `expm1-log1p-u` `associate-+r+` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`associate--l-` `diff-log` `sum-log`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 92

Calls

3 calls:

11.0ms	(- (+ (log (+ x y)) (log z)) t)
1.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))

series327.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(- (+ (log (+ x y)) (log z)) t)
91.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
70.0ms	(+ (log (+ x y)) (log z))

simplify43.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	388	866
1	1209	661
2	5001	650

prune283.0ms

Filtered

101 candidates to 61 candidates (60.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	7	103

Merged error: 0.1b

Counts

103 → 7

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log z) t)
0.2b	(fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
0.3b	(+ (log (+ x y)) (- (log z) t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `prod-diff`
22×	`add-cube-cbrt`
17×	`pow1` `associate-+r+`
14×	`log-pow`
10×	`log-prod`
7×	`distribute-lft-out`
6×	`associate--l+` `distribute-lft-out--` `add-log-exp`
4×	`associate-+l+` `fma-def` `fma-neg`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
2×	`associate-+l-` `sub-neg` `log-div` `flip3-+` `diff-log` `sum-log` `flip-+`
1×	`+-commutative` `associate-+r-` `flip3--` `flip--` `fma-udef` `difference-of-squares`

Counts

3 → 94

Calls

3 calls:

5.0ms	(- (log z) t)
1.0ms	(fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
11.0ms	(+ (log (+ x y)) (- (log z) t))

series320.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (log z) t)
91.0ms	(fma (log t) (- a 0.5) (+ (log (+ x y)) (- (log z) t)))
168.0ms	(+ (log (+ x y)) (- (log z) t))

simplify44.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	420	756
1	1251	585
2	5001	554

prune287.0ms

Filtered

103 candidates to 67 candidates (65.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	103	7	110

Merged error: 0.1b

Counts

110 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- (+ (log (+ x y)) (log z)) t))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
23×	`pow1`
21×	`log-prod`
19×	`log-pow` `distribute-lft-out`
16×	`add-sqr-sqrt`
14×	`add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`cbrt-prod` `associate-+r+`
6×	`associate-+l-` `log-div` `flip3-+` `flip-+`
5×	`distribute-lft-out--`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`+-commutative` `sum-log`
2×	`cbrt-div`
1×	`flip3--` `pow1/3` `flip--` `difference-of-squares`

Counts

4 → 111

Calls

4 calls:

7.0ms	(cbrt (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series584.0ms

Counts

4 → 12

Calls

4 calls:

366.0ms	(cbrt (- (+ (log (+ x y)) (log z)) t))
73.0ms	(+ (log (+ x y)) (log z))
72.0ms	(+ (log (+ x y)) (log z))
72.0ms	(+ (log (+ x y)) (log z))

simplify80.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	332	776
1	858	737
2	3177	722
3	5001	716

prune483.0ms

Filtered

123 candidates to 93 candidates (75.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Merged error: 0.1b

Counts

130 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(+ (log (+ x y)) (log z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
21×	`log-prod`
19×	`pow1`
15×	`log-pow` `distribute-lft-out`
14×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`associate-+l+` `fma-def`
9×	`associate-+r+`
6×	`associate-+l-` `log-div` `flip3-+` `flip-+`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`+-commutative` `cbrt-prod` `sum-log`
1×	`pow1/3`

Counts

4 → 103

Calls

4 calls:

1.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
7.0ms	(+ (log (+ x y)) (log z))
10.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series888.0ms

Counts

4 → 12

Calls

4 calls:

677.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
70.0ms	(+ (log (+ x y)) (log z))
71.0ms	(+ (log (+ x y)) (log z))
70.0ms	(+ (log (+ x y)) (log z))

simplify63.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	601	974
1	2133	892
2	5001	877

prune505.0ms

Filtered

115 candidates to 90 candidates (78.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	113	9	122

Merged error: 0.1b

Counts

122 → 9

regimes570.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	8
1	16	8

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	55408×	body	80	nan
479.0ms	8024×	body	80	valid