Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

270×

body

valid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune2.0ms

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: 8.3b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.2b	(/ (- (* y z) x) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ (- (* y z) x) (- (* t z) x))

series260.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
20.0ms	(- (* y z) x)
112.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
51.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify48.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5002	947

prune256.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 0.4b

Counts

111 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* y z) x)
0.0b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
11.2b	(/ (- (* t z) x) (- (* y z) x))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
94×	`*-un-lft-identity`
67×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
19×	`add-exp-log`
16×	`distribute-lft-out`
13×	`associate-/r/` `add-cbrt-cube`
12×	`div-inv`
11×	`associate-/l*`
9×	`div-exp`
7×	`flip3--` `flip--`
6×	`add-log-exp`
5×	`pow1` `cbrt-undiv`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num`
2×	`rec-exp` `flip3-+` `1-exp` `flip-+`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `inv-pow`

Counts

4 → 173

Calls

4 calls:

4.0ms	(- (* y z) x)
22.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
12.0ms	(/ (- (* t z) x) (- (* y z) x))

series302.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(- (* y z) x)
140.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
80.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
59.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	623	2022
1	2865	1858
2	5001	1779

prune294.0ms

Filtered

185 candidates to 105 candidates (56.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	185	8	193

Merged error: 0.4b

Counts

193 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
4.3b	(/ x (- (* t z) x))
11.6b	(/ (* y z) (- (* t z) x))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
33×	`times-frac`
30×	`add-sqr-sqrt`
25×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-/r*` `associate-/r/`
9×	`associate-/l*`
6×	`distribute-lft-out--` `add-log-exp`
5×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv` `div-exp`
3×	`distribute-rgt-out--` `frac-2neg` `clear-num`
2×	`flip3-+` `flip-+` `associate-/l/` `difference-of-squares`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `prod-exp` `frac-sub` `cbrt-unprod` `sub-div`

Counts

4 → 118

Calls

4 calls:

16.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
23.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
7.0ms	(/ (* y z) (- (* t z) x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
117.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
55.0ms	(/ x (- (* t z) x))
35.0ms	(/ (* y z) (- (* t z) x))

simplify62.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	477	1357
1	1966	1267
2	5002	1267

prune250.0ms

Filtered

130 candidates to 90 candidates (69.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	132	6	138

Merged error: 0.0b

Counts

138 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
1.6b	(* y (/ z (- (* t z) x)))
4.3b	(/ x (- (* t z) x))
9.7b	(/ z (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
44×	`times-frac`
43×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
15×	`add-exp-log` `associate-r` `add-cbrt-cube`
10×	`associate-/r` `distribute-lft-out` `associate-/l`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
3×	`flip3--` `frac-2neg` `associate-l` `clear-num` `flip--`
2×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `unswap-sqr`
1×	`associate-+r-` `div-sub` `associate-r/` `pow-prod-down` `-commutative`

Counts

4 → 133

Calls

4 calls:

18.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
9.0ms	(* y (/ z (- (* t z) x)))
5.0ms	(/ x (- (* t z) x))
5.0ms	(/ z (- (* t z) x))

series238.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(/ (+ x (- (* y (/ z (- (* t z) x))) (/ x (- (* t z) x)))) (+ x 1.0))
34.0ms	(* y (/ z (- (* t z) x)))
56.0ms	(/ x (- (* t z) x))
34.0ms	(/ z (- (* t z) x))

simplify60.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	476	1296
1	2056	1196
2	5001	1196

prune285.0ms

Filtered

145 candidates to 105 candidates (72.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	145	6	151

Merged error: 0.0b

Counts

151 → 6

regimes98.0ms

Accuracy

0% (1.9b remaining)

Error of 2.2b against oracle of 0.3b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms

sample609.0ms

Algorithm

intervals

Results

394.0ms

8358×

body

valid

Details

sample23.0ms

simplify42.0ms

prune2.0ms

localize11.0ms

rewrite41.0ms

series260.0ms

simplify48.0ms

prune256.0ms

localize12.0ms

rewrite54.0ms

series302.0ms

simplify80.0ms

prune294.0ms

localize12.0ms

rewrite55.0ms

series264.0ms

simplify62.0ms

prune250.0ms

localize12.0ms

rewrite42.0ms

series238.0ms

simplify60.0ms

prune285.0ms

regimes98.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample609.0ms

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