Details

sample184.0ms

Algorithm

intervals

Results

100.0ms	1638×	body	80	nan
20.0ms	256×	body	80	valid

simplify60.0ms

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

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

localize14.0ms

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

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:

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))

series306.0ms

Counts

3 → 9

Calls

3 calls:

184.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms	(* (- a 0.5) (log t))
68.0ms	(+ (log (+ x y)) (log z))

simplify67.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (56.0ms)

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

prune371.0ms

Filtered

129 candidates to 86 candidates (66.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	118	11	129
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	120	11	131

Merged error: 0.0b

Counts

131 → 11

localize14.0ms

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))

rewrite13.0ms

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))

series273.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (log z) t)
166.0ms	(+ (log (+ x y)) (fma (log t) (- a 0.5) (- (log z) t)))
53.0ms	(fma (log t) (- a 0.5) (- (log z) t))

simplify39.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (31.0ms)

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

prune257.0ms

Filtered

81 candidates to 58 candidates (71.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	81	11	92

Merged error: 0.0b

Counts

92 → 11

localize20.0ms

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

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

series588.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
170.0ms	(cbrt t)
188.0ms	(cbrt t)
74.0ms	(+ (log (+ x y)) (log z))

simplify68.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (54.0ms)

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

prune531.0ms

Filtered

123 candidates to 110 candidates (89.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	120	3	123
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	125	9	134

Merged error: 0b

Counts

134 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
0.6b	(cbrt t)
0.6b	(+ (log (+ x y)) (log z))
5.0b	(pow t 1/3)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

45×	`log-prod`
31×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+` `*-un-lft-identity`
22×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`associate-+r+`
15×	`cbrt-prod`
10×	`pow1`
9×	`unpow-prod-down`
8×	`associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
5×	`add-exp-log` `fma-def` `log-pow`
4×	`expm1-log1p-u` `flip3--` `frac-add` `add-cbrt-cube` `flip--` `log1p-expm1-u`
3×	`pow-unpow` `flip3-+` `flip-+` `sqr-pow`
2×	`+-commutative` `associate-+l-` `log-div` `sum-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow1/3` `pow-exp`

Counts

4 → 120

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
1.0ms	(cbrt t)
6.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series622.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (pow t 1/3))))
175.0ms	(cbrt t)
65.0ms	(+ (log (+ x y)) (log z))
170.0ms	(pow t 1/3)

simplify79.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	770	955
1	2769	823
2	5002	787

prune580.0ms

Filtered

132 candidates to 112 candidates (84.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	132	9	141

Merged error: 0b

Counts

141 → 9

regimes598.0ms

Accuracy

-12.4% (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	30	16
1	30	16

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.5s	55534×	body	80	nan
611.0ms	8028×	body	80	valid