Details

sample181.0ms

Algorithm

intervals

Results

93.0ms	1990×	body	80	nan
14.0ms	257×	body	80	valid

simplify61.0ms

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.3b

Counts

2 → 1

localize15.0ms

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
28×	`associate-+l+`
27×	`pow1`
23×	`add-cube-cbrt`
22×	`log-pow`
21×	`prod-diff` `distribute-lft-out`
19×	`log-prod`
13×	`fma-def`
10×	`add-log-exp`
9×	`associate-+r+`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `distribute-lft-out--`
5×	`add-exp-log` `flip3--` `associate-l` `sum-log` `add-cbrt-cube` `flip--`
4×	`associate-r` `frac-add`
3×	`expm1-log1p-u` `associate-+l-` `flip3-+` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `log-div` `diff-log` `difference-of-squares`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 120

Calls

3 calls:

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

series318.0ms

Counts

3 → 9

Calls

3 calls:

192.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
53.0ms	(* (- a 0.5) (log t))
73.0ms	(+ (log (+ x y)) (log z))

simplify68.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	642	1079
1	2528	880
2	5001	863

prune389.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	119	10	129
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

localize15.0ms

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
31×	`pow1`
28×	`add-sqr-sqrt`
26×	`log-pow`
25×	`distribute-lft-out`
24×	`prod-diff`
22×	`add-cube-cbrt`
13×	`log-prod`
11×	`add-log-exp`
7×	`fma-neg`
6×	`diff-log` `distribute-lft-out--`
5×	`add-exp-log` `flip3-+` `associate-l` `add-cbrt-cube` `flip-+` `associate--r+`
4×	`associate-+l-` `log-div` `associate-+l+` `flip3--` `fma-def` `associate-r` `frac-sub` `flip--`
3×	`distribute-rgt-in` `expm1-log1p-u` `associate-+r+` `distribute-lft-in` `sum-log` `log1p-expm1-u`
2×	`associate--l-` `sub-neg` `associate-*l/` `difference-of-squares`
1×	`+-commutative` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `associate--r-` `unswap-sqr`

Counts

3 → 125

Calls

3 calls:

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

series310.0ms

Counts

3 → 9

Calls

3 calls:

187.0ms	(- (+ (log (+ x y)) (log z)) (- t (* (- a 0.5) (log t))))
53.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify76.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	655	1768
1	2380	1302
2	5001	1259

prune359.0ms

Filtered

134 candidates to 80 candidates (59.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	128	6	134
Fresh	7	2	9
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Merged error: 0.0b

Counts

144 → 8

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.5b	(fma 2 (log (cbrt z)) (log (+ x y)))
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 61

Calls

4 calls:

5.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
1.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series648.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
133.0ms	(fma 2 (log (cbrt z)) (log (+ x y)))
170.0ms	(cbrt z)
171.0ms	(cbrt z)

simplify64.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	203	445
1	573	409
2	2204	368
3	5002	358

prune379.0ms

Filtered

73 candidates to 67 candidates (91.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	73	8	81

Merged error: 0.0b

Counts

81 → 8

localize19.0ms

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)

rewrite27.0ms

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)

series585.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
71.0ms	(+ (log (+ x y)) (log z))
172.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify67.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (56.0ms)

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

prune606.0ms

Filtered

123 candidates to 110 candidates (89.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	121	2	123
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	125	6	131

Merged error: 0b

Counts

131 → 6

regimes606.0ms

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	23	15
1	23	15

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	57022×	body	80	nan
459.0ms	8026×	body	80	valid