Details

sample164.0ms

Algorithm

intervals

Results

83.0ms	1580×	body	80	nan
16.0ms	257×	body	80	valid

simplify61.0ms

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

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: 0.3b

Counts

2 → 1

localize17.0ms

Local error

Found 3 expressions with local error:

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))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

25.0ms	(+ (- (+ (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))

series335.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	648	1104
1	2286	1047
2	5002	1031

prune357.0ms

Filtered

123 candidates to 73 candidates (59.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	115	8	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	8	124

Merged error: 0.0b

Counts

124 → 8

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(* (cbrt z) (cbrt z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))

series727.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt z)
175.0ms	(cbrt z)
182.0ms	(cbrt z)
197.0ms	(* (cbrt z) (cbrt z))

simplify101.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	124	311
1	520	267
2	3255	241
3	5003	238

prune369.0ms

Filtered

88 candidates to 64 candidates (72.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Merged error: 0.0b

Counts

96 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
43×	`log-prod`
38×	`associate-r`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `associate-+l+`
24×	`cbrt-prod` `add-cube-cbrt`
22×	`distribute-lft-out`
20×	`associate-l`
16×	`pow1`
15×	`associate-+r+`
14×	`log-pow`
13×	`distribute-rgt-out`
10×	`add-log-exp`
8×	`associate-*l/`
6×	`distribute-lft-out--`
5×	`sum-log`
4×	`add-exp-log` `flip3--` `pow1/3` `frac-add` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `*-commutative` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

41.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
7.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series593.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
67.0ms	(+ (log (+ x y)) (log z))
180.0ms	(cbrt t)
177.0ms	(cbrt t)

simplify98.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	699	1063
1	3048	877
2	5002	824

prune580.0ms

Filtered

142 candidates to 105 candidates (73.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	145	5	150

Merged error: 0b

Counts

150 → 5

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
15×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `add-log-exp`
7×	`log-prod`
6×	`sqrt-prod`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-+l+` `sum-log` `log-pow` `add-cbrt-cube`
3×	`associate-+r+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative`

Counts

4 → 66

Calls

4 calls:

7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))
1.0ms	(cbrt t)

series554.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(+ (log (+ x y)) (log z))
153.0ms	(cbrt (sqrt t))
149.0ms	(cbrt (sqrt t))
176.0ms	(cbrt t)

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	256	368
1	593	341
2	2008	326
3	5001	324

prune394.0ms

Filtered

78 candidates to 60 candidates (76.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	78	5	83

Merged error: 0b

Counts

83 → 5

regimes373.0ms

Accuracy

0% (0.3b 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	32	21
1	32	21

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.8s	55964×	body	80	nan
510.0ms	8037×	body	80	valid