Details

sample21.0ms

Algorithm

intervals

Results

9.0ms	269×	body	80	valid
0.0ms	1×	body	320	valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	107	6
3	188	6
4	364	6
5	722	6
6	1067	6
7	1452	6
8	1963	6
9	2143	6
10	2145	6
11	2145	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
10.5b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `frac-2neg` `div-sub` `clear-num` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 175

Calls

2 calls:

13.0ms	(/ (+ (- t z) 1.0) a)
14.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series154.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
121.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify66.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	629	1758
1	2423	1698
2	5003	1697

prune367.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
0.8b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out` `distribute-lft-out--`
11×	`difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`associate-r`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`flip3--` `frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `flip--`

Counts

2 → 102

Calls

2 calls:

12.0ms	(/ (- y z) (+ (- t z) 1.0))
16.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series170.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- y z) (+ (- t z) 1.0))
123.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify40.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	377	755
1	1255	699
2	5002	697

prune209.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
0.1b	(/ 1 (/ a (+ (- t z) 1.0)))
10.5b	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

1126×	`times-frac`
922×	`*-un-lft-identity`
572×	`add-sqr-sqrt`
434×	`add-cube-cbrt`
140×	`distribute-lft-out`
139×	`distribute-lft-out--`
94×	`associate-/r*`
69×	`difference-of-squares`
54×	`associate-/r/`
35×	`add-exp-log`
31×	`div-inv`
23×	`flip3-+` `flip-+`
22×	`div-exp`
19×	`add-cbrt-cube`
11×	`associate-/l*`
10×	`cbrt-undiv`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `add-log-exp`
2×	`associate-/l/`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

3 → 582

Calls

3 calls:

8.0ms	(/ a (+ (- t z) 1.0))
12.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
27.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

series139.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ a (+ (- t z) 1.0))
30.0ms	(/ 1 (/ a (+ (- t z) 1.0)))
74.0ms	(/ (- y z) (/ 1 (/ a (+ (- t z) 1.0))))

simplify109.0ms

Algorithm

egg-herbie

Counts

591 → 591

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1884	7551
1	5001	6849

prune967.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1.0 (/ 1 a)) (/ t a))
1.4b	(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
10.5b	(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

65×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
37×	`times-frac`
21×	`difference-of-squares`
16×	`add-cube-cbrt`
14×	`distribute-lft-out--`
10×	`add-log-exp`
8×	`frac-sub`
6×	`frac-add` `associate-/r*` `associate-/r/`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
3×	`pow1` `flip3--` `flip3-+` `associate-*r/` `un-div-inv` `flip--` `flip-+`
2×	`diff-log` `sum-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `distribute-rgt-out` `frac-2neg` `div-sub` `div-exp` `associate--l+` `clear-num`

Counts

3 → 97

Calls

3 calls:

7.0ms	(+ (* 1.0 (/ 1 a)) (/ t a))
17.0ms	(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
19.0ms	(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (* 1.0 (/ 1 a)) (/ t a))
29.0ms	(- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a))
71.0ms	(/ (- y z) (- (+ (* 1.0 (/ 1 a)) (/ t a)) (/ z a)))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	459	1308
1	1537	1232
2	5001	1206

prune323.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes113.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample553.0ms

Algorithm

intervals

Results

282.0ms	8477×	body	80	valid
0.0ms	4×	body	320	valid
0.0ms	1×	body	640	valid