Details

sample172.0ms

Algorithm

intervals

Results

88.0ms	1858×	body	80	nan
14.0ms	256×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune4.0ms

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: 0.3b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
14.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series487.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(- (+ (log (+ x y)) (log z)) t)
193.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune360.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	11	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	11	115

Merged error: 0.0b

Counts

115 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (log z) t)
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (log z) t) (* (- a 0.5) (log t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
22×	`log-prod`
19×	`add-sqr-sqrt`
14×	`add-log-exp`
13×	`add-cube-cbrt`
9×	`pow1` `associate-+l+`
7×	`associate-+r+` `sum-log`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `associate--l+` `add-cbrt-cube` `flip--`
5×	`associate-l`
4×	`associate-+l-` `associate-r` `frac-add`
3×	`flip3-+` `diff-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`+-commutative` `sub-neg` `log-div` `difference-of-squares`
1×	`associate-+r-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

4.0ms	(- (log z) t)
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
7.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

series400.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(- (log z) t)
193.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log t))))
57.0ms	(* (- a 0.5) (log t))
90.0ms	(+ (- (log z) t) (* (- a 0.5) (log t)))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	643	915
1	2283	856
2	5001	845

prune347.0ms

Filtered

110 candidates to 81 candidates (73.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	109	12	121

Merged error: 0.0b

Counts

121 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
23×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-+r+` `log-pow`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
8×	`associate-+l+`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `sqrt-prod` `add-cbrt-cube`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`log-div` `associate-r` `frac-add`
3×	`+-commutative` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

19.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
7.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
8.0ms	(+ (log (+ x y)) (log (sqrt z)))

series667.0ms

Counts

4 → 12

Calls

4 calls:

290.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
171.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
150.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	759	1405
1	2762	1276
2	5002	1251

prune398.0ms

Filtered

127 candidates to 87 candidates (68.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	128	11	139

Merged error: 0.0b

Counts

139 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
0.1b	(* (- a 0.5) (log t))
0.1b	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

33×	`*-un-lft-identity`
28×	`log-prod`
24×	`frac-add`
21×	`add-log-exp`
19×	`add-sqr-sqrt`
16×	`sum-log`
15×	`pow1` `add-cube-cbrt`
14×	`associate-*l/` `distribute-lft-out`
13×	`associate-+l+` `associate-+r+` `flip3--` `flip3-+` `flip--` `flip-+`
9×	`log-pow`
8×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `sqrt-prod` `add-cbrt-cube`
5×	`associate-l`
4×	`log-div` `associate-r`
3×	`+-commutative` `diff-log`
1×	`associate-+r-` `sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

15.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
7.0ms	(* (- a 0.5) (log t))
13.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series626.0ms

Counts

4 → 12

Calls

4 calls:

283.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (+ (- (log (sqrt z)) t) (* (- a 0.5) (log t))))
60.0ms	(* (- a 0.5) (log t))
135.0ms	(+ (- (log (sqrt z)) t) (* (- a 0.5) (log t)))
148.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	1003	2204
1	4526	2099
2	5001	2087

prune477.0ms

Filtered

137 candidates to 102 candidates (74.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	137	11	148

Merged error: 0.0b

Counts

148 → 11

regimes671.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample5.0s

Algorithm

intervals

Results

2.6s	56334×	body	80	nan
450.0ms	8029×	body	80	valid