Details

sample55.0ms

Algorithm

intervals

Results

14.0ms	295×	body	80	valid
12.0ms	293×	body	80	nan

simplify57.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	8
1	85	8
2	273	8
3	800	8
4	2123	8
5	5001	8

prune3.0ms

Filtered

1 candidates to 0 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: 0.1b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
0.0b	(* (- a 0.5) b)
0.1b	(- (+ (+ x y) z) (* z (log t)))
0.3b	(* z (log t))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

119×	`*-un-lft-identity`
45×	`distribute-lft-out`
34×	`associate-l`
32×	`distribute-lft-out--`
27×	`add-log-exp`
25×	`add-sqr-sqrt`
18×	`log-prod`
14×	`add-cube-cbrt`
12×	`associate--r+`
10×	`associate-+l+` `sum-log`
9×	`pow1` `distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate--l+` `add-cbrt-cube`
7×	`associate-+l-` `associate-r`
6×	`flip3--` `diff-log` `associate-*l/` `flip--`
5×	`+-commutative`
4×	`frac-add`
3×	`difference-of-squares` `unswap-sqr`
2×	`sub-neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod`
1×	`flip3-+` `log-pow` `flip-+`

Counts

4 → 131

Calls

4 calls:

28.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
9.0ms	(* (- a 0.5) b)
14.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series255.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
30.0ms	(* (- a 0.5) b)
42.0ms	(- (+ (+ x y) z) (* z (log t)))
40.0ms	(* z (log t))

simplify81.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	572	1062
1	2713	1012
2	5002	1007

prune273.0ms

Filtered

143 candidates to 87 candidates (39.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	6	144

Merged error: 0b

Counts

144 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
0.1b	(- (+ (+ x y) z) (* (log (sqrt t)) z))
0.3b	(* (log (sqrt t)) z)
0.3b	(* z (log (sqrt t)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

110×	`*-un-lft-identity`
47×	`distribute-lft-out--`
37×	`associate-l`
30×	`add-sqr-sqrt`
27×	`distribute-lft-out` `add-log-exp`
24×	`log-prod`
21×	`pow1`
16×	`add-cube-cbrt`
15×	`log-pow`
14×	`associate--l+`
12×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod` `associate--r+`
10×	`diff-log`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sum-log`
4×	`+-commutative` `associate-+l+` `difference-of-squares` `unswap-sqr`
3×	`sub-neg`
2×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`
1×	`associate--l-`

Counts

4 → 139

Calls

4 calls:

30.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
15.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
5.0ms	(* (log (sqrt t)) z)
9.0ms	(* z (log (sqrt t)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (- (+ (+ x y) z) (* (log (sqrt t)) z)) (* z (log (sqrt t))))
48.0ms	(- (+ (+ x y) z) (* (log (sqrt t)) z))
131.0ms	(* (log (sqrt t)) z)
93.0ms	(* z (log (sqrt t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	461	1287
1	2037	1106
2	5001	1033

prune306.0ms

Filtered

151 candidates to 84 candidates (44.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	152	5	157

Merged error: 0b

Counts

157 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt t) (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 76

Calls

4 calls:

6.0ms	(* (cbrt t) (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series783.0ms

Counts

4 → 12

Calls

4 calls:

215.0ms	(* (cbrt t) (cbrt t))
195.0ms	(cbrt t)
186.0ms	(cbrt t)
187.0ms	(cbrt t)

simplify95.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	124	311
1	521	267
2	3234	241
3	5002	238

prune366.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	88	5	93

Merged error: 0b

Counts

93 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
44×	`*-un-lft-identity`
43×	`associate-r`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod` `add-sqr-sqrt`
28×	`add-cube-cbrt`
24×	`associate-+l+`
15×	`pow1`
13×	`distribute-rgt-out` `associate-l`
12×	`associate-+r+` `log-pow`
11×	`distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow1/3`
3×	`*-commutative`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
34.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series585.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(* z (log (cbrt t)))
106.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
192.0ms	(cbrt t)
188.0ms	(cbrt t)

simplify70.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	399	823
1	1908	687
2	5001	649

prune601.0ms

Filtered

137 candidates to 104 candidates (24.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	135	2	137
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0b

Counts

142 → 5

regimes467.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	20
1	32	20

end0.0ms

sample1.5s

Algorithm

intervals

Results

431.0ms	9142×	body	80	valid
365.0ms	9150×	body	80	nan
0.0ms	1×	body	640	valid