Details

sample225.0ms

Algorithm

intervals

Results

129.0ms	2067×	body	80	nan
18.0ms	256×	body	80	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune9.0ms

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: 0.2b

Counts

2 → 2

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))
0.6b	(+ (log (+ x y)) (log z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

91×	`*-un-lft-identity`
48×	`pow1`
43×	`add-sqr-sqrt`
42×	`prod-diff` `log-pow`
41×	`distribute-lft-out`
35×	`add-cube-cbrt`
28×	`associate-+l+`
19×	`log-prod`
14×	`add-log-exp`
13×	`fma-def`
11×	`distribute-lft-out--`
9×	`associate-+r+`
7×	`fma-neg`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--`
5×	`associate-+l-` `associate-l`
4×	`expm1-log1p-u` `log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+` `log1p-expm1-u`
3×	`difference-of-squares`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 172

Calls

4 calls:

9.0ms	(- (+ (log (+ x y)) (log z)) t)
15.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series508.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(- (+ (log (+ x y)) (log z)) t)
201.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
72.0ms	(+ (log (+ x y)) (log z))

simplify80.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	706	1592
1	2722	1253
2	5001	1237

prune441.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	177	7	184
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	179	7	186

Merged error: 0.0b

Counts

186 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
27×	`*-un-lft-identity`
24×	`cbrt-prod`
21×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
9×	`pow1`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`fma-def` `log-pow`
4×	`add-exp-log` `expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 111

Calls

4 calls:

14.0ms	(+ (* (- 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)

series640.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
71.0ms	(+ (log (+ x y)) (log z))
203.0ms	(cbrt t)
195.0ms	(cbrt t)

simplify67.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	653	918
1	2378	778
2	5003	742

prune706.0ms

Filtered

123 candidates to 110 candidates (89.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	124	6	130

Merged error: 0.0b

Counts

130 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (- a 0.5) (* 2 (log (cbrt t))) (* (- a 0.5) (log (cbrt t))))
0.6b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

1.0ms	(fma (- 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)

series627.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(fma (- a 0.5) (* 2 (log (cbrt t))) (* (- a 0.5) (log (cbrt t))))
73.0ms	(+ (log (+ x y)) (log z))
177.0ms	(cbrt t)
175.0ms	(cbrt t)

simplify56.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	265	415
1	624	361
2	2151	343
3	5003	336

prune389.0ms

Filtered

78 candidates to 66 candidates (84.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

3 calls:

5.0ms	(- (log z) t)
6.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
1.0ms	(fma (log t) (- a 0.5) (- (log z) t))

series278.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (log z) t)
160.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
55.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	393	634
1	1179	513
2	5001	502

prune221.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

regimes355.0ms

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	24	15
1	24	15

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.6s	57051×	body	80	nan
587.0ms	8036×	body	80	valid