Details

sample54.0ms

Algorithm

intervals

Results

15.0ms	290×	body	80	valid
12.0ms	331×	body	80	nan

simplify53.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- a 0.5) b)
0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
45×	`distribute-lft-out`
34×	`associate-l`
32×	`distribute-lft-out--`
27×	`add-log-exp`
25×	`add-sqr-sqrt`
18×	`log-prod`
14×	`add-cube-cbrt`
12×	`associate--r+`
10×	`associate-+l+` `sum-log`
9×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate--l+` `add-cbrt-cube`
7×	`associate-+l-` `associate-r`
6×	`flip3--` `diff-log` `associate-*l/` `flip--`
5×	`+-commutative`
4×	`frac-add`
3×	`difference-of-squares` `unswap-sqr`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`flip3-+` `log-pow` `flip-+`

Counts

4 → 131

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
30.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
13.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series241.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (- a 0.5) b)
132.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
40.0ms	(- (+ (+ x y) z) (* z (log t)))
39.0ms	(* z (log t))

simplify84.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	572	1062
1	2713	1012
2	5001	1007

prune267.0ms

Filtered

143 candidates to 87 candidates (60.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	136	7	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	137	7	144

Merged error: 0b

Counts

144 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (log t) z) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (- (+ (+ x y) z) (* z (log 1))) (- (* (log t) z) (* (- a 0.5) b)))
0.3b	(* (log t) z)

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

353×	`*-un-lft-identity`
227×	`distribute-lft-out--`
135×	`associate-l`
60×	`distribute-lft-out`
38×	`add-log-exp`
33×	`pow1`
30×	`add-sqr-sqrt`
25×	`log-pow`
19×	`diff-log`
10×	`add-cube-cbrt` `associate--l+`
8×	`add-exp-log` `add-cbrt-cube` `associate--r+`
7×	`associate--l-` `flip3--` `flip--`
6×	`log-prod` `associate-r` `sum-log` `difference-of-squares` `unswap-sqr`
4×	`sub-neg` `frac-sub`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `associate-l/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`associate--r-`

Counts

4 → 176

Calls

4 calls:

16.0ms	(- (* (log t) z) (* (- a 0.5) b))
6.0ms	(* (- a 0.5) b)
42.0ms	(- (- (+ (+ x y) z) (* z (log 1))) (- (* (log t) z) (* (- a 0.5) b)))
4.0ms	(* (log t) z)

series322.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(- (* (log t) z) (* (- a 0.5) b))
35.0ms	(* (- a 0.5) b)
135.0ms	(- (- (+ (+ x y) z) (* z (log 1))) (- (* (log t) z) (* (- a 0.5) b)))
67.0ms	(* (log t) z)

simplify87.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	611	1902
1	2690	1677
2	5001	1532

prune294.0ms

Filtered

188 candidates to 80 candidates (42.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	188	7	195

Merged error: 0b

Counts

195 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.7b	(cbrt t)
0.7b	(cbrt t)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
43×	`associate-r`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod` `add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`pow1`
13×	`distribute-rgt-out` `associate-l`
12×	`associate-+r+` `log-pow`
11×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1/3`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
28.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series576.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* z (log (cbrt t)))
105.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
184.0ms	(cbrt t)
190.0ms	(cbrt t)

simplify74.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	399	823
1	1908	687
2	5001	649

prune418.0ms

Filtered

137 candidates to 104 candidates (75.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	137	7	144

Merged error: 0b

Counts

144 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (log t) z)) (cbrt (* (log t) z)))
0.6b	(cbrt (* (log t) z))
0.6b	(cbrt (* (log t) z))
0.6b	(cbrt (* (log t) z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

115×	`cbrt-prod`
67×	`add-sqr-sqrt`
52×	`associate-l`
37×	`-un-lft-identity` `associate-r*`
29×	`add-cube-cbrt`
22×	`pow1` `swap-sqr` `unswap-sqr`
11×	`log-pow`
9×	`pow1/3`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`cbrt-unprod` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 147

Calls

4 calls:

14.0ms	(* (cbrt (* (log t) z)) (cbrt (* (log t) z)))
4.0ms	(cbrt (* (log t) z))
4.0ms	(cbrt (* (log t) z))
4.0ms	(cbrt (* (log t) z))

series522.0ms

Counts

4 → 12

Calls

4 calls:

162.0ms	(* (cbrt (* (log t) z)) (cbrt (* (log t) z)))
117.0ms	(cbrt (* (log t) z))
118.0ms	(cbrt (* (log t) z))
124.0ms	(cbrt (* (log t) z))

simplify47.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	277	1306
1	956	1215
2	5001	1090

prune680.0ms

Filtered

159 candidates to 105 candidates (66.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	159	7	166

Merged error: 0b

Counts

166 → 7

regimes493.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	11
1	26	11

end0.0ms

sample1.4s

Algorithm

intervals

Results

413.0ms	9183×	body	80	valid
357.0ms	9205×	body	80	nan
0.0ms	1×	body	1280	valid