Details

sample176.0ms

Algorithm

intervals

Results

91.0ms	1858×	body	80	nan
14.0ms	256×	body	80	valid

simplify66.0ms

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 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))
0.5b	(+ (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:

11.0ms	(- (+ (log (+ x y)) (log z)) t)
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))

series460.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (+ (log (+ x y)) (log z)) t)
183.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
65.0ms	(+ (log (+ x y)) (log z))

simplify75.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (60.0ms)

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

prune648.0ms

Filtered

184 candidates to 109 candidates (59.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	170	14	184
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	171	14	185

Merged error: 0.0b

Counts

185 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`log-prod`
26×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
15×	`associate-+r+`
13×	`pow1`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
8×	`log-pow`
7×	`fma-def`
6×	`add-exp-log` `associate-r` `add-cbrt-cube` `add-log-exp`
5×	`associate-+l+` `associate-l` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `associate-*l/` `sum-log` `fma-udef`
1×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (- a 0.5) (log (sqrt t))))
8.0ms	(* (- a 0.5) (log (sqrt t)))
1.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
7.0ms	(+ (log (+ x y)) (log z))

series447.0ms

Counts

4 → 12

Calls

4 calls:

210.0ms	(+ (fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t)) (* (- a 0.5) (log (sqrt t))))
56.0ms	(* (- a 0.5) (log (sqrt t)))
112.0ms	(fma (log (sqrt t)) (- a 0.5) (- (+ (log (+ x y)) (log z)) t))
69.0ms	(+ (log (+ x y)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	524	1114
1	1769	1026
2	5002	996

prune437.0ms

Filtered

120 candidates to 90 candidates (75.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	4	9	13
Picked	1	0	1
Done	0	0	0
Total	122	12	134

Merged error: 0b

Counts

134 → 12

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1` `cbrt-prod`
7×	`log-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+` `pow1/3`
2×	`associate-+l-` `log-div` `flip3-+` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 69

Calls

4 calls:

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

series611.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (log (+ x y)) (log z))
183.0ms	(cbrt t)
172.0ms	(cbrt t)
179.0ms	(cbrt t)

simplify90.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	195	301
1	405	276
2	1046	266
3	3377	265
4	5001	265

prune527.0ms

Filtered

81 candidates to 67 candidates (82.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	83	10	93

Merged error: 0b

Counts

93 → 10

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
48×	`cbrt-prod`
45×	`distribute-rgt-in` `distribute-lft-in`
40×	`associate-+l+`
35×	`*-un-lft-identity`
29×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`sqrt-prod`
21×	`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 → 135

Calls

4 calls:

16.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt (sqrt t))))) (* (- a 0.5) (log (cbrt (sqrt t)))))
8.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt (sqrt t))
2.0ms	(cbrt (sqrt t))

series518.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt (sqrt t))))) (* (- a 0.5) (log (cbrt (sqrt t)))))
74.0ms	(+ (log (+ x y)) (log z))
156.0ms	(cbrt (sqrt t))
149.0ms	(cbrt (sqrt t))

simplify74.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	762	1317
1	2551	1146
2	5001	1120

prune754.0ms

Filtered

147 candidates to 128 candidates (87.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	147	10	157

Merged error: 0b

Counts

157 → 10

regimes629.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	22
1	30	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

2.7s	56334×	body	80	nan
464.0ms	8029×	body	80	valid