Details

sample223.0ms

Algorithm

intervals

Results

129.0ms	2067×	body	80	nan
18.0ms	256×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	9
1	59	9
2	153	9
3	360	9
4	813	9
5	1639	9
6	3143	9
7	5001	9

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 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))
0.6b	(+ (log (+ x y)) (log z))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
19×	`log-prod`
18×	`add-sqr-sqrt`
15×	`pow1`
14×	`add-log-exp`
12×	`add-cube-cbrt`
9×	`associate-+r+` `log-pow` `distribute-lft-out`
7×	`associate-+l+`
6×	`add-exp-log` `distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*l/` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out--`
5×	`associate-+l-` `associate-l`
4×	`log-div` `flip3-+` `diff-log` `associate-r` `frac-add` `flip-+`
2×	`+-commutative` `associate--l-` `sub-neg` `associate--l+` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

10.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
7.0ms	(+ (log (+ x y)) (log z))

series477.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (+ (log (+ x y)) (log z)) t)
188.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
58.0ms	(* (- a 0.5) (log t))
70.0ms	(+ (log (+ x y)) (log z))

simplify56.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	618	1003
1	2230	940
2	5001	924

prune334.0ms

Filtered

114 candidates to 80 candidates (70.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Merged error: 0.0b

Counts

115 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
0.1b	(* (- a 0.5) (log t))
0.4b	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
0.5b	(+ (log (+ x y)) (log (sqrt z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`*-un-lft-identity`
28×	`log-prod`
24×	`pow1`
23×	`distribute-lft-out`
19×	`add-sqr-sqrt`
18×	`associate-+r+` `log-pow`
15×	`add-cube-cbrt` `add-log-exp`
11×	`sum-log`
8×	`associate-+l+`
7×	`associate-+l-`
6×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-*l/` `sqrt-prod` `add-cbrt-cube`
5×	`flip3--` `flip3-+` `associate-l` `flip--` `flip-+`
4×	`log-div` `associate-r` `frac-add`
3×	`+-commutative` `diff-log`
1×	`sub-neg` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

18.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
10.0ms	(* (- a 0.5) (log t))
10.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
7.0ms	(+ (log (+ x y)) (log (sqrt z)))

series651.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(+ (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t) (* (- a 0.5) (log t)))
60.0ms	(* (- a 0.5) (log t))
162.0ms	(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))
149.0ms	(+ (log (+ x y)) (log (sqrt z)))

simplify73.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	759	1405
1	2762	1276
2	5002	1251

prune377.0ms

Filtered

127 candidates to 87 candidates (68.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	128	6	134

Merged error: 0.0b

Counts

134 → 6

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
6.0ms	(+ (log (+ x y)) (log z))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series614.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
74.0ms	(+ (log (+ x y)) (log z))
188.0ms	(cbrt t)
183.0ms	(cbrt t)

simplify61.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	598	898
1	2124	774
2	5001	748

prune453.0ms

Filtered

110 candidates to 98 candidates (89.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Merged error: 0.0b

Counts

116 → 6

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
0.4b	(* (cbrt (- a 0.5)) (log t))
0.6b	(+ (log (+ x y)) (log z))
0.7b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

68×	`cbrt-div`
45×	`add-sqr-sqrt` `*-un-lft-identity`
36×	`associate-*l/`
34×	`cbrt-prod` `flip3--` `flip--`
32×	`frac-times`
30×	`pow1`
25×	`log-prod`
23×	`add-cube-cbrt`
20×	`add-exp-log`
17×	`associate-l`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`associate-r`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`associate-*r/` `swap-sqr` `prod-exp` `cbrt-unprod`
7×	`distribute-lft-out--`
6×	`pow1/3` `unswap-sqr`
5×	`log-pow` `distribute-lft-out` `difference-of-squares`
4×	`associate-+l+` `add-log-exp`
3×	`associate-+r+` `*-commutative`
2×	`associate-+l-` `log-div` `flip3-+` `pow-sqr` `pow-prod-up` `flip-+`
1×	`+-commutative` `pow2` `pow-plus` `sum-log`

Counts

4 → 173

Calls

4 calls:

16.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
7.0ms	(* (cbrt (- a 0.5)) (log t))
10.0ms	(+ (log (+ x y)) (log z))
10.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series458.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (cbrt (- a 0.5)) (log t)))
162.0ms	(* (cbrt (- a 0.5)) (log t))
89.0ms	(+ (log (+ x y)) (log z))
136.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify91.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	974	2075
1	3293	1754
2	5002	1640

prune517.0ms

Filtered

185 candidates to 108 candidates (58.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	185	6	191

Merged error: 0.0b

Counts

191 → 6

regimes435.0ms

Accuracy

0% (0.2b 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	22	13
1	22	13

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.5s	57051×	body	80	nan
575.0ms	8036×	body	80	valid