Details

sample129.0ms

Algorithm

intervals

Results

52.0ms	899×	body	80	nan
19.0ms	297×	body	80	valid

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune12.0ms

Filtered

1 candidates to 1 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 → 2

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))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

319×	`*-un-lft-identity`
209×	`distribute-lft-out`
92×	`associate-+l+`
77×	`associate-l`
38×	`add-log-exp`
36×	`log-prod`
28×	`add-sqr-sqrt`
25×	`fma-def` `sum-log`
22×	`add-cube-cbrt`
21×	`distribute-lft-out--`
18×	`distribute-rgt-in` `distribute-lft-in`
12×	`associate-+r+`
10×	`pow1`
9×	`+-commutative`
8×	`add-exp-log` `associate-r` `add-cbrt-cube`
6×	`associate-*l/`
4×	`expm1-log1p-u` `flip3-+` `frac-add` `flip-+` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 205

Calls

4 calls:

51.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
33.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
8.0ms	(* (- b 0.5) (log c))
5.0ms	(* x (log y))

series911.0ms

Counts

4 → 12

Calls

4 calls:

555.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c))) (* y i))
241.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
75.0ms	(* (- b 0.5) (log c))
40.0ms	(* x (log y))

simplify83.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	808	1690
1	3279	1485
2	5001	1469

prune496.0ms

Filtered

217 candidates to 121 candidates (44.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	209	8	217
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	211	8	219

Merged error: 0.0b

Counts

219 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def`
1×	`+-commutative` `associate-+r+` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 48

Calls

4 calls:

3.0ms	(+ t (fma i y (fma (log c) (- b 0.5) (+ a (fma x (log y) z)))))
1.0ms	(fma i y (fma (log c) (- b 0.5) (+ a (fma x (log y) z))))
1.0ms	(fma (log c) (- b 0.5) (+ a (fma x (log y) z)))
1.0ms	(fma x (log y) z)

series1.3s

Counts

4 → 12

Calls

4 calls:

579.0ms	(+ t (fma i y (fma (log c) (- b 0.5) (+ a (fma x (log y) z)))))
431.0ms	(fma i y (fma (log c) (- b 0.5) (+ a (fma x (log y) z))))
189.0ms	(fma (log c) (- b 0.5) (+ a (fma x (log y) z)))
57.0ms	(fma x (log y) z)

simplify53.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	194	459
1	488	410
2	1970	400
3	5002	387

prune234.0ms

Filtered

60 candidates to 52 candidates (13.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	2	60
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	61	7	68

Merged error: 0.0b

Counts

68 → 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))) (fma (log (sqrt c)) (- b 0.5) (* y i)))
0.1b	(fma (log (sqrt c)) (- b 0.5) (* y i))
0.1b	(* (log (sqrt c)) (- b 0.5))
0.3b	(* x (log y))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

160×	`*-un-lft-identity`
100×	`distribute-lft-out`
72×	`associate-+l+`
43×	`add-sqr-sqrt`
37×	`add-cube-cbrt`
36×	`prod-diff`
35×	`associate-l`
28×	`distribute-rgt-in` `distribute-lft-in`
24×	`add-log-exp`
23×	`associate-+r+`
21×	`pow1`
18×	`fma-def`
15×	`sum-log`
14×	`log-pow`
12×	`log-prod`
9×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
5×	`+-commutative`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u`
2×	`associate-r/` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`
1×	`flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 174

Calls

4 calls:

44.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (fma (log (sqrt c)) (- b 0.5) (* y i)))
1.0ms	(fma (log (sqrt c)) (- b 0.5) (* y i))
8.0ms	(* (log (sqrt c)) (- b 0.5))
5.0ms	(* x (log y))

series1.2s

Counts

4 → 12

Calls

4 calls:

821.0ms	(+ (+ (+ (+ (+ (* x (log y)) z) t) a) (* (log (sqrt c)) (- b 0.5))) (fma (log (sqrt c)) (- b 0.5) (* y i)))
262.0ms	(fma (log (sqrt c)) (- b 0.5) (* y i))
73.0ms	(* (log (sqrt c)) (- b 0.5))
44.0ms	(* x (log y))

simplify66.0ms

Algorithm

egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	678	1859
1	2422	1507
2	5001	1483

prune664.0ms

Filtered

186 candidates to 109 candidates (41.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	183	3	186
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	187	6	193

Merged error: 0.0b

Counts

193 → 6

localize25.0ms

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)

rewrite13.0ms

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×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

6.0ms	(* (cbrt c) (cbrt c))
1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series725.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(* (cbrt c) (cbrt c))
177.0ms	(cbrt c)
174.0ms	(cbrt c)
182.0ms	(cbrt c)

simplify91.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune367.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.0b

Counts

102 → 5

regimes491.0ms

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	36	18
1	36	18

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27581×	body	80	nan
585.0ms	9187×	body	80	valid
1.0ms	3×	body	640	valid
0.0ms	1×	body	160	valid