Details

sample243.0ms

Algorithm

intervals

Results

135.0ms	1847×	body	80	nan
21.0ms	257×	body	80	valid

simplify71.0ms

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

prune8.0ms

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: 0.2b

Counts

2 → 1

localize18.0ms

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))

rewrite44.0ms

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)
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))

series472.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(- (+ (log (+ x y)) (log z)) t)
186.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
56.0ms	(* (- a 0.5) (log t))
71.0ms	(+ (log (+ x y)) (log z))

simplify75.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (61.0ms)

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

prune453.0ms

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	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	7	185

Merged error: 0.0b

Counts

185 → 7

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))))
0.5b	(+ (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)

series599.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
76.0ms	(+ (log (+ x y)) (log z))
182.0ms	(cbrt t)
176.0ms	(cbrt t)

simplify77.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (61.0ms)

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

prune563.0ms

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	0	1	1
Done	0	0	0
Total	124	6	130

Merged error: 0b

Counts

130 → 6

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down` `pow-unpow` `pow1/3`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-exp` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series750.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt t)
205.0ms	(cbrt t)
184.0ms	(cbrt t)
180.0ms	(pow t 1/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 3 (43.0ms)

Iter	Nodes	Cost
0	101	174
1	292	150
2	1057	142
3	5001	137

prune403.0ms

Filtered

71 candidates to 57 candidates (80.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Merged error: 0b

Counts

77 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
0.3b	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
0.5b	(+ (log (+ x y)) (log z))
5.1b	(pow t 1/3)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity`
33×	`prod-diff`
30×	`add-sqr-sqrt`
28×	`pow1` `associate-+l+`
26×	`add-cube-cbrt`
22×	`log-pow`
21×	`distribute-lft-out`
13×	`associate-+r+` `fma-def`
11×	`add-log-exp`
10×	`distribute-rgt-in` `distribute-lft-in`
7×	`add-exp-log` `log-prod`
6×	`associate-*r/` `add-cbrt-cube`
5×	`sub-neg` `flip3--` `sum-log` `flip--` `distribute-lft-out--`
4×	`expm1-log1p-u` `associate-l` `frac-add` `log1p-expm1-u`
3×	`associate-+l-` `unpow-prod-down` `pow-unpow` `flip3-+` `associate-r` `flip-+`
2×	`+-commutative` `log-div` `diff-log`
1×	`pow-to-exp` `pow-pow` `unpow1/3` `pow-prod-down` `pow-exp` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 146

Calls

4 calls:

20.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
7.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
7.0ms	(+ (log (+ x y)) (log z))
2.0ms	(pow t 1/3)

series733.0ms

Counts

4 → 12

Calls

4 calls:

309.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (log (pow t 1/3)) (- (* 3 a) 1.5)))
170.0ms	(* (log (pow t 1/3)) (- (* 3 a) 1.5))
76.0ms	(+ (log (+ x y)) (log z))
178.0ms	(pow t 1/3)

simplify108.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (93.0ms)

Iter	Nodes	Cost
0	776	1427
1	3516	1169
2	5001	1162

prune660.0ms

Filtered

158 candidates to 106 candidates (67.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	158	6	164

Merged error: 0b

Counts

164 → 6

regimes445.0ms

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	33	22
1	33	22

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.6s	55809×	body	80	nan
606.0ms	8019×	body	80	valid

Details

sample243.0ms

simplify71.0ms

prune8.0ms

localize18.0ms

rewrite44.0ms

series472.0ms

simplify75.0ms

prune453.0ms

localize20.0ms

rewrite27.0ms

series599.0ms

simplify77.0ms

prune563.0ms

localize43.0ms

rewrite7.0ms

series750.0ms

simplify48.0ms

prune403.0ms

localize24.0ms

rewrite42.0ms

series733.0ms

simplify108.0ms

prune660.0ms

regimes445.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.3s

Profiling