Details

analyze712.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
1.0ms	13×	body	80	invalid

simplify40.0ms

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

prune4.0ms

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: 9.2b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
12.0b	(/ (- (* y z) x) (- (* t z) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 86

Calls

3 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series78.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
19.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify41.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	381	952
1	1350	894
2	5001	894

prune149.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	87	8	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	9	96

Merged error: 0.9b

Counts

96 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.5b	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
2.7b	(/ x (- (* t z) x))
13.7b	(/ (* 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)))
22.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
8.0ms	(/ (* y z) (- (* t z) x))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
38.0ms	(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
12.0ms	(/ x (- (* t z) x))
12.0ms	(/ (* y z) (- (* t z) x))

simplify59.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 1 (14.0ms)

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

prune139.0ms

Filtered

89 candidates to 130 candidates (-46.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	132	7	139

Merged error: 0.5b

Counts

139 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
2.0b	(/ y (/ (- (* t z) x) z))
2.7b	(/ x (- (* t z) x))
7.8b	(/ (- (* t z) x) z)

rewrite69.0ms

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:

44.0ms	(/ (+ 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)

series71.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
12.0ms	(/ y (/ (- (* t z) x) z))
12.0ms	(/ x (- (* t z) x))
8.0ms	(/ (- (* t z) x) z)

simplify73.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (15.0ms)

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

prune183.0ms

Filtered

139 candidates to 187 candidates (-34.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	186	1	187
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	187	7	194

Merged error: 0.5b

Counts

194 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
0.5b	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
2.0b	(/ y (- t (/ x z)))
2.7b	(/ x (- (* t z) x))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

90×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
59×	`times-frac`
34×	`add-cube-cbrt`
16×	`distribute-lft-out`
13×	`associate-/r*` `distribute-lft-out--`
12×	`difference-of-squares`
11×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `add-log-exp`
4×	`pow1`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`associate-+r-` `sub-neg` `diff-log` `div-sub` `frac-sub`

Counts

4 → 136

Calls

4 calls:

28.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
31.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
7.0ms	(/ y (- t (/ x z)))
5.0ms	(/ x (- (* t z) x))

series75.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
33.0ms	(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
9.0ms	(/ y (- t (/ x z)))
12.0ms	(/ x (- (* t z) x))

simplify50.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	517	1434
1	1813	1364
2	5001	1364

prune131.0ms

Filtered

104 candidates to 148 candidates (-42.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	0	4	4
Picked	0	1	1
Done	1	1	2
Total	147	8	155

Merged error: 0.5b

Counts

155 → 8

regimes445.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	10
1	18	10

end0.0ms

analyze693.0ms

Algorithm: search

sample611.0ms

Algorithm

intervals

Results

386.0ms	8000×	body	80	valid
16.0ms	338×	body	80	invalid

Details

analyze712.0ms

sample23.0ms

simplify40.0ms

prune4.0ms

localize10.0ms

rewrite34.0ms

series78.0ms

simplify41.0ms

prune149.0ms

localize12.0ms

rewrite55.0ms

series83.0ms

simplify59.0ms

prune139.0ms

localize13.0ms

rewrite69.0ms

series71.0ms

simplify73.0ms

prune183.0ms

localize16.0ms

rewrite77.0ms

series75.0ms

simplify50.0ms

prune131.0ms

regimes445.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze693.0ms

sample611.0ms

Profiling