Details

sample128.0ms

Algorithm

intervals

Results

53.0ms	868×	body	80	nan
19.0ms	288×	body	80	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
0.0b	(+ (* x (log y)) z)
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

182×	`*-un-lft-identity`
118×	`distribute-lft-out`
62×	`associate-+l+`
51×	`associate-l`
30×	`log-prod`
26×	`add-log-exp`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
16×	`sum-log`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`distribute-lft-out--`
10×	`pow1`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`+-commutative` `associate-+r+`
2×	`flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `difference-of-squares`

Counts

4 → 140

Calls

4 calls:

43.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
10.0ms	(+ (* x (log y)) z)
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series658.0ms

Counts

4 → 12

Calls

4 calls:

511.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
52.0ms	(+ (* x (log y)) z)
54.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify65.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	617	1204
1	2143	1137
2	5003	1115

prune453.0ms

Filtered

152 candidates to 87 candidates (57.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	145	7	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	146	7	153

Merged error: 0.1b

Counts

153 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
42×	`log-prod` `associate-r`
33×	`distribute-rgt-in` `distribute-lft-in`
32×	`add-sqr-sqrt`
26×	`add-cube-cbrt`
24×	`cbrt-prod` `associate-+l+`
23×	`associate-l`
17×	`distribute-lft-out`
15×	`pow1`
13×	`distribute-rgt-out`
12×	`associate-+r+`
11×	`log-pow`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp`
4×	`flip3--` `pow1/3` `frac-add` `flip--`
3×	`*-commutative`
2×	`difference-of-squares`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

4.0ms	(* x (log y))
37.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series567.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* x (log y))
173.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
180.0ms	(cbrt c)
176.0ms	(cbrt c)

simplify91.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	645	1013
1	3062	826
2	5001	771

prune841.0ms

Filtered

140 candidates to 102 candidates (72.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	137	3	140
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	141	6	147

Merged error: 0.0b

Counts

147 → 6

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod`
7×	`pow1`
6×	`add-exp-log` `log-prod` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3` `associate-l`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series536.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* x (log y))
168.0ms	(cbrt c)
167.0ms	(cbrt c)
165.0ms	(cbrt c)

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	133	232
1	414	207
2	1099	194
3	3874	191
4	5001	191

prune394.0ms

Filtered

70 candidates to 52 candidates (74.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.3b	(* x (log y))
0.3b	(* (log (cbrt c)) (* (- b 0.5) 3))
0.6b	(cbrt c)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`-un-lft-identity` `associate-r*`
15×	`add-cube-cbrt`
14×	`associate-l`
13×	`pow1`
12×	`log-prod`
11×	`add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `add-log-exp`
5×	`unswap-sqr`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`cbrt-prod` `log-pow` `*-commutative`
2×	`pow1/3` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`+-commutative` `flip3--` `flip3-+` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 92

Calls

4 calls:

8.0ms	(+ (* x (log y)) z)
4.0ms	(* x (log y))
11.0ms	(* (log (cbrt c)) (* (- b 0.5) 3))
1.0ms	(cbrt c)

series432.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (* x (log y)) z)
36.0ms	(* x (log y))
169.0ms	(* (log (cbrt c)) (* (- b 0.5) 3))
172.0ms	(cbrt c)

simplify50.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	451	545
1	1832	483
2	5002	447

prune428.0ms

Filtered

104 candidates to 75 candidates (72.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	104	5	109

Merged error: 0.0b

Counts

109 → 5

regimes472.0ms

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	13
1	32	13

end0.0ms

sample3.9s

Algorithm

intervals

Results

1.7s	27710×	body	80	nan
624.0ms	9106×	body	80	valid
1.0ms	2×	body	1280	valid
1.0ms	2×	body	640	valid