Details

sample37.0ms

Algorithm

intervals

Results

16.0ms

370×

body

valid

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	27	6
1	91	6
2	289	6
3	770	6
4	1514	6
5	1860	6
6	1885	6
7	1885	6

prune3.0ms

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: 6.0b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
5.6b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `times-frac` `associate-r` `pow-prod-down` `log1p-expm1-u` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-sub` `associate-l` `prod-diff` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 62

Calls

3 calls:

4.0ms	(- (* x y) (* (* z 9.0) t))
5.0ms	(* (* z 9.0) t)
8.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series156.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(- (* x y) (* (* z 9.0) t))
19.0ms	(* (* z 9.0) t)
76.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	346	438
1	1623	375
2	5002	375

prune205.0ms

Filtered

71 candidates to 52 candidates (73.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	61	10	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	10	72

Merged error: 5.7b

Counts

72 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.5b	(/ (* x y) a)
5.5b	(/ (* t z) a)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
13×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `associate-/r*` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/l*`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

7.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
7.0ms	(* 4.5 (/ (* t z) a))
5.0ms	(/ (* x y) a)
5.0ms	(/ (* t z) a)

series198.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms	(* 4.5 (/ (* t z) a))
25.0ms	(/ (* x y) a)
22.0ms	(/ (* t z) a)

simplify69.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	405	538
1	2002	467
2	5001	467

prune275.0ms

Filtered

105 candidates to 72 candidates (68.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	103	12	115

Merged error: 0.3b

Counts

115 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
3.5b	(/ (* x y) (* a 2.0))
5.5b	(/ (* (* z 9.0) t) (* a 2.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
25×	`prod-diff`
18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
15×	`div-inv`
13×	`times-frac`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
6×	`add-log-exp`
5×	`fma-neg`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

14.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
5.0ms	(* (* z 9.0) t)
6.0ms	(/ (* x y) (* a 2.0))
9.0ms	(/ (* (* z 9.0) t) (* a 2.0))

series204.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
19.0ms	(* (* z 9.0) t)
31.0ms	(/ (* x y) (* a 2.0))
30.0ms	(/ (* (* z 9.0) t) (* a 2.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	572	1402
1	3517	988
2	5002	987

prune243.0ms

Filtered

131 candidates to 70 candidates (53.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	134	9	143

Merged error: 0.0b

Counts

143 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (* x y) (* (* z 9.0) t))
0.2b	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
0.2b	(* (* z 9.0) t)
5.6b	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
35×	`add-exp-log`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
23×	`add-cbrt-cube`
14×	`div-exp`
12×	`associate-/r*`
11×	`associate-/r/`
10×	`pow1`
7×	`cbrt-undiv` `prod-exp`
6×	`flip3--` `flip--` `div-inv` `add-log-exp`
5×	`cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`rec-exp` `1-exp` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`sub-neg` `pow-flip` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `inv-pow`

Counts

4 → 127

Calls

4 calls:

4.0ms	(- (* x y) (* (* z 9.0) t))
9.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
5.0ms	(* (* z 9.0) t)
10.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* x y) (* (* z 9.0) t))
128.0ms	(/ 1 (/ (* a 2.0) (- (* x y) (* (* z 9.0) t))))
23.0ms	(* (* z 9.0) t)
56.0ms	(/ (* a 2.0) (- (* x y) (* (* z 9.0) t)))

simplify96.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	515	1244
1	2627	1094
2	5001	1045

prune255.0ms

Filtered

139 candidates to 82 candidates (59.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	139	9	148

Merged error: 0.0b

Counts

148 → 9

regimes651.0ms

Accuracy

91.6% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 7.7b

bsearch2.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	24
1	46	24
2	52	24
3	52	24

end0.0ms

sample879.0ms

Algorithm

intervals

Results

506.0ms

11105×

body

valid