Details

sample133.0ms

Algorithm

intervals

Results

51.0ms	899×	body	80	nan
22.0ms	297×	body	80	valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (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

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) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

242×	`*-un-lft-identity`
158×	`distribute-lft-out`
92×	`associate-+l+`
63×	`associate-l`
38×	`add-log-exp`
36×	`log-prod`
26×	`add-sqr-sqrt`
25×	`sum-log`
20×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
16×	`distribute-lft-out--`
12×	`associate-+r+`
10×	`pow1`
9×	`+-commutative`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 172

Calls

4 calls:

46.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
29.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series895.0ms

Counts

4 → 12

Calls

4 calls:

545.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
245.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
64.0ms	(* (- b 0.5) (log c))
41.0ms	(* x (log y))

simplify81.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	766	1769
1	3033	1710
2	5003	1694

prune412.0ms

Filtered

184 candidates to 107 candidates (41.8%)

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:

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

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

565×	`*-un-lft-identity`
502×	`distribute-lft-out`
218×	`associate-l`
82×	`pow1`
74×	`log-pow`
58×	`associate-+l+`
49×	`add-log-exp`
35×	`sum-log`
24×	`add-sqr-sqrt`
20×	`frac-add`
14×	`distribute-rgt-in` `add-cube-cbrt` `distribute-lft-in` `associate-r`
13×	`flip3-+` `flip-+`
12×	`log-prod` `associate-*r/`
10×	`add-exp-log` `associate-+r+` `add-cbrt-cube`
8×	`sub-neg`
6×	`+-commutative` `flip3--` `flip--`
3×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sqrt-pow1` `pow1/2` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 251

Calls

4 calls:

61.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (+ (* (log (sqrt c)) (- b 0.5)) (* y i)))
7.0ms	(* (log (sqrt c)) (- b 0.5))
7.0ms	(* (log (sqrt c)) (- b 0.5))
5.0ms	(* x (log y))

series892.0ms

Counts

4 → 12

Calls

4 calls:

700.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (+ (* (log (sqrt c)) (- b 0.5)) (* y i)))
75.0ms	(* (log (sqrt c)) (- b 0.5))
75.0ms	(* (log (sqrt c)) (- b 0.5))
42.0ms	(* x (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

263 → 263

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1060	4412
1	5001	3825

prune507.0ms

Filtered

263 candidates to 105 candidates (60.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	261	2	263
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	263	7	270

Merged error: 0.0b

Counts

270 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt c) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite14.0ms

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:

8.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series759.0ms

Counts

4 → 12

Calls

4 calls:

200.0ms	(* (cbrt c) (cbrt c))
186.0ms	(cbrt c)
189.0ms	(cbrt c)
184.0ms	(cbrt c)

simplify93.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (82.0ms)

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

prune344.0ms

Filtered

88 candidates to 64 candidates (27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	89	6	95

Merged error: 0.0b

Counts

95 → 6

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (pow (/ 1 c) -1/3) (cbrt c))
0.6b	(cbrt c)
0.6b	(cbrt c)
5.1b	(pow (/ 1 c) -1/3)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
32×	`unpow-prod-down`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`times-frac`
21×	`add-exp-log`
17×	`associate-l`
14×	`cbrt-prod`
10×	`unswap-sqr`
9×	`pow1`
8×	`pow-exp`
7×	`add-cbrt-cube`
6×	`associate-r` `prod-exp`
5×	`pow-pow`
4×	`pow1/3` `div-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow`
2×	`pow-to-exp` `rec-exp` `pow-flip` `1-exp` `pow-prod-up` `cbrt-unprod` `div-inv` `inv-pow`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 106

Calls

4 calls:

11.0ms	(* (pow (/ 1 c) -1/3) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
4.0ms	(pow (/ 1 c) -1/3)

series785.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (pow (/ 1 c) -1/3) (cbrt c))
191.0ms	(cbrt c)
189.0ms	(cbrt c)
190.0ms	(pow (/ 1 c) -1/3)

simplify48.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	324	579
1	1341	534
2	5002	497

prune476.0ms

Filtered

118 candidates to 82 candidates (30.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	118	6	124

Merged error: 0.0b

Counts

124 → 6

regimes581.0ms

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	31	17
1	31	17

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.6s	27581×	body	80	nan
604.0ms	9187×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid