Details

sample207.0ms

Algorithm

intervals

Results

116.0ms	1827×	body	80	nan
20.0ms	258×	body	80	valid

simplify65.0ms

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: 0.4b

Counts

2 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.3b	(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))

series321.0ms

Counts

3 → 9

Calls

3 calls:

163.0ms	(- (+ (log (+ x y)) (log z)) t)
91.0ms	(fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
68.0ms	(+ (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

prune297.0ms

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

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (log z) (log (+ x y)))
0.5b	(* (log (+ x y)) (log (+ x y)))
0.7b	(pow (log (+ x y)) 3)
0.8b	(pow (log z) 3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

39×	`*-un-lft-identity`
36×	`pow1`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt`
23×	`log-pow`
16×	`prod-diff`
15×	`log-prod`
8×	`add-exp-log` `unpow-prod-down` `cube-prod` `add-cbrt-cube`
6×	`pow-unpow` `swap-sqr`
4×	`distribute-rgt-in` `expm1-log1p-u` `distribute-lft-in` `fma-neg` `associate-r` `associate-l` `log1p-expm1-u` `associate--r+` `distribute-lft-out--` `add-log-exp`
3×	`associate--l+` `distribute-lft-out`
2×	`cube-mult` `pow-to-exp` `log-div` `pow-pow` `unpow3` `pow-exp` `associate--r-` `rem-cube-cbrt` `sqr-pow`
1×	`pow2` `sub-neg` `flip3--` `flip3-+` `pow-plus` `diff-log` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `flip-+` `difference-of-squares` `unswap-sqr`

Counts

4 → 142

Calls

4 calls:

8.0ms	(- (log z) (log (+ x y)))
7.0ms	(* (log (+ x y)) (log (+ x y)))
5.0ms	(pow (log (+ x y)) 3)
3.0ms	(pow (log z) 3)

series703.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(- (log z) (log (+ x y)))
165.0ms	(* (log (+ x y)) (log (+ x y)))
301.0ms	(pow (log (+ x y)) 3)
169.0ms	(pow (log z) 3)

simplify83.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	395	865
1	1936	708
2	5001	674

prune442.0ms

Filtered

154 candidates to 80 candidates (51.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Merged error: 0.1b

Counts

161 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(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))

rewrite25.0ms

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))
7.0ms	(+ (log (+ x y)) (log z))
7.0ms	(+ (log (+ x y)) (log z))

series890.0ms

Counts

4 → 12

Calls

4 calls:

676.0ms	(cbrt (fma (log t) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)))
68.0ms	(+ (log (+ x y)) (log z))
72.0ms	(+ (log (+ x y)) (log z))
73.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (48.0ms)

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

prune530.0ms

Filtered

115 candidates to 90 candidates (78.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 0.0b

Counts

122 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (log t) 0.5 t)
0.1b	(fma a (log t) (log z))
0.2b	(+ (fma a (log t) (log z)) (- (log y) (fma (log t) 0.5 t)))
0.2b	(- (log y) (fma (log t) 0.5 t))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

1.0ms	(fma (log t) 0.5 t)
1.0ms	(fma a (log t) (log z))
7.0ms	(+ (fma a (log t) (log z)) (- (log y) (fma (log t) 0.5 t)))
5.0ms	(- (log y) (fma (log t) 0.5 t))

series422.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(fma (log t) 0.5 t)
53.0ms	(fma a (log t) (log z))
72.0ms	(+ (fma a (log t) (log z)) (- (log y) (fma (log t) 0.5 t)))
119.0ms	(- (log y) (fma (log t) 0.5 t))

simplify46.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	399	1013
1	1418	776
2	5002	759

prune295.0ms

Filtered

108 candidates to 74 candidates (68.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	108	8	116

Merged error: 0.0b

Counts

116 → 8

regimes524.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.5s	56004×	body	80	nan
586.0ms	8034×	body	80	valid