Details

sample27.0ms

Algorithm

intervals

Results

12.0ms

266×

body

valid

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 7.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.4b	(/ (- (* y z) x) (- (* t z) x))

rewrite39.0ms

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:

11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series79.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
34.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
16.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune155.0ms

Filtered

110 candidates to 80 candidates (27.3%)

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: 1.7b

Counts

111 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.2b	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
0.5b	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
9.4b	(/ (- (* t z) x) (- (* y z) x))

rewrite52.0ms

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	(- (* t z) x)
10.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
21.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
10.0ms	(/ (- (* t z) x) (- (* y z) x))

series81.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
22.0ms	(/ 1 (/ (- (* t z) x) (- (* y z) x)))
37.0ms	(/ (+ x (/ 1 (/ (- (* t z) x) (- (* y z) x)))) (+ x 1.0))
16.0ms	(/ (- (* t z) x) (- (* y z) x))

simplify78.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	633	2022
1	2917	1858
2	5002	1779

prune162.0ms

Filtered

185 candidates to 103 candidates (44.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	182	3	185
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	186	9	195

Merged error: 1.7b

Counts

195 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
0.5b	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
3.5b	(/ x (- (* y z) x))
11.2b	(/ (* t z) (- (* y z) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
63×	`times-frac`
59×	`add-sqr-sqrt`
39×	`add-cube-cbrt`
26×	`associate-/r/`
19×	`associate-/r*`
17×	`add-exp-log` `div-inv`
16×	`distribute-lft-out`
15×	`add-cbrt-cube`
12×	`distribute-rgt-out--` `associate-/l*`
11×	`flip3--` `flip--`
8×	`difference-of-squares`
6×	`div-exp`
5×	`pow1` `cbrt-undiv`
4×	`frac-2neg` `clear-num` `distribute-lft-out--` `add-log-exp`
2×	`flip3-+` `flip-+` `associate-/l/`
1×	`rec-exp` `pow-flip` `1-exp` `prod-exp` `frac-sub` `cbrt-unprod` `inv-pow` `sub-div`

Counts

4 → 156

Calls

4 calls:

19.0ms	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
28.0ms	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
5.0ms	(/ x (- (* y z) x))
7.0ms	(/ (* t z) (- (* y z) x))

series97.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))
37.0ms	(/ (+ x (/ 1 (- (/ (* t z) (- (* y z) x)) (/ x (- (* y z) x))))) (+ x 1.0))
11.0ms	(/ x (- (* y z) x))
15.0ms	(/ (* t z) (- (* y z) x))

simplify71.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	584	2002
1	2566	1868
2	5002	1826

prune162.0ms

Filtered

168 candidates to 100 candidates (40.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	168	9	177

Merged error: 1.7b

Counts

177 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1 (- (* y z) x))
0.3b	(/ 1 (- (* t z) x))
0.5b	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
8.9b	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

547×	`times-frac`
274×	`*-un-lft-identity`
254×	`add-sqr-sqrt` `add-cube-cbrt`
71×	`associate-/r/`
54×	`add-exp-log`
37×	`div-exp`
36×	`div-inv`
34×	`flip3--` `flip--`
25×	`associate-/r` `associate-/l`
22×	`add-cbrt-cube`
11×	`cbrt-undiv`
10×	`rec-exp` `1-exp` `distribute-lft-out`
6×	`pow1`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-/l/`
2×	`pow-flip` `flip3-+` `flip-+` `inv-pow`

Counts

4 → 393

Calls

4 calls:

5.0ms	(/ 1 (- (* y z) x))
6.0ms	(/ 1 (- (* t z) x))
57.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
17.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ 1 (- (* y z) x))
6.0ms	(/ 1 (- (* t z) x))
34.0ms	(/ (+ x (/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))) (+ x 1.0))
22.0ms	(/ (/ 1 (- (* t z) x)) (/ 1 (- (* y z) x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

405 → 405

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1698	5903
1	5001	5378

prune378.0ms

Filtered

405 candidates to 205 candidates (49.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	405	0	405
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	405	9	414

Merged error: 1.7b

Counts

414 → 9

regimes356.0ms

Accuracy

58.8% (2.7b remaining)

Error of 3.6b against oracle of 0.9b and baseline of 7.4b

bsearch44.0ms

Steps

Iters	Range		Point
7	2.5640028683726534e+62	5.4899901727238806e+63	2.372598930841921e+63
10	-4.432325975180091e+79	-8.358265998921818e+60	-3.82010355608723e+72

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample732.0ms

Algorithm

intervals

Results

382.0ms

8330×

body

valid

Details

sample27.0ms

simplify40.0ms

prune7.0ms

localize11.0ms

rewrite39.0ms

series79.0ms

simplify42.0ms

prune155.0ms

localize12.0ms

rewrite52.0ms

series81.0ms

simplify78.0ms

prune162.0ms

localize17.0ms

rewrite64.0ms

series97.0ms

simplify71.0ms

prune162.0ms

localize13.0ms

rewrite110.0ms

series68.0ms

simplify89.0ms

prune378.0ms

regimes356.0ms

bsearch44.0ms

simplify2.0ms

end0.0ms

sample732.0ms

Profiling