Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

271×

body

valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 9.1b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* y z) x)
0.7b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
11.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

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)))
7.0ms	(- (* y z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
20.0ms	(- (* y z) x)
121.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
52.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	400	1011
1	1421	948
2	5001	947

prune247.0ms

Filtered

110 candidates to 80 candidates (72.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 1.9b

Counts

111 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.7b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
3.9b	(/ x (- (* t z) x))
13.3b	(/ (* y z) (- (* t z) x))

rewrite58.0ms

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)))
27.0ms	(/ (+ 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:

59.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
114.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
59.0ms	(/ x (- (* t z) x))
32.0ms	(/ (* y z) (- (* t z) x))

simplify54.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	477	1357
1	1966	1267
2	5001	1267

prune263.0ms

Filtered

130 candidates to 90 candidates (69.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	130	10	140

Merged error: 0.7b

Counts

140 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
1.7b	(/ y (/ (- (* t z) x) z))
3.9b	(/ x (- (* t z) x))
9.0b	(/ (- (* t z) x) z)

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

113×	`times-frac`
110×	`*-un-lft-identity`
73×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
16×	`distribute-lft-out`
15×	`add-exp-log` `add-cbrt-cube`
14×	`associate-/l*`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/` `distribute-lft-out--`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip3-+` `div-sub` `flip--` `flip-+`
1×	`associate-+r-`

Counts

4 → 175

Calls

4 calls:

45.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
7.0ms	(/ y (/ (- (* t z) x) z))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (- (* t z) x) z)

series250.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
34.0ms	(/ y (/ (- (* t z) x) z))
61.0ms	(/ x (- (* t z) x))
35.0ms	(/ (- (* t z) x) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	658	1825
1	2900	1719
2	5001	1719

prune417.0ms

Filtered

187 candidates to 138 candidates (73.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	185	2	187
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	188	9	197

Merged error: 0.7b

Counts

197 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x))))
0.7b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
1.7b	(/ y (- t (/ x z)))
3.9b	(/ x (- (* t z) x))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
51×	`times-frac`
34×	`add-cube-cbrt`
18×	`distribute-lft-out`
13×	`associate-/r*`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
9×	`add-log-exp`
8×	`difference-of-squares`
6×	`associate-/r/`
4×	`pow1`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
2×	`associate-+r-` `associate-+r+` `flip3--` `sum-log` `flip--` `associate-/l/`
1×	`+-commutative` `sub-neg` `diff-log` `div-sub`

Counts

4 → 133

Calls

4 calls:

32.0ms	(+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x))))
32.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
8.0ms	(/ y (- t (/ x z)))
5.0ms	(/ x (- (* t z) x))

series279.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x))))
110.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
34.0ms	(/ y (- t (/ x z)))
56.0ms	(/ x (- (* t z) x))

simplify55.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	470	1378
1	1690	1292
2	5002	1292

prune293.0ms

Filtered

145 candidates to 99 candidates (68.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	145	9	154

Merged error: 0.7b

Counts

154 → 9

regimes180.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.4b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

sample608.0ms

Algorithm

intervals

Results

389.0ms

8350×

body

valid