Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

283×

body

valid

simplify80.0ms

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: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
10.9b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

239×	`*-un-lft-identity`
203×	`times-frac`
136×	`add-sqr-sqrt`
87×	`add-cube-cbrt`
44×	`distribute-lft-out`
43×	`distribute-lft-out--`
23×	`difference-of-squares`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `associate-/r/` `flip-+` `associate--r-`

Counts

3 → 192

Calls

3 calls:

35.0ms	(/ (+ (- t z) 1.0) a)
63.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
28.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series255.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ (- t z) 1.0) a)
91.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
129.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify77.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	707	1950
1	2629	1888
2	5001	1887

prune456.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.6b	(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 114

Calls

3 calls:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
27.0ms	(/ (- y z) (+ (- t z) 1.0))
51.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series265.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
52.0ms	(/ (- y z) (+ (- t z) 1.0))
125.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	436	882
1	1450	824
2	5001	823

prune258.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
0.0b	(/ (- y z) (+ (- t z) 1.0))
0.7b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
929×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
393×	`add-cube-cbrt`
153×	`distribute-lft-out--`
152×	`distribute-lft-out`
83×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp` `add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
5×	`div-sub` `add-log-exp`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `associate--r-`

Counts

3 → 545

Calls

3 calls:

155.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
23.0ms	(/ (- y z) (+ (- t z) 1.0))
51.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series269.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(- x (/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a)))
49.0ms	(/ (- y z) (+ (- t z) 1.0))
132.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify106.0ms

Algorithm

egg-herbie

Counts

554 → 554

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1925	7705
1	5002	7176

prune874.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
0.0b	(- x (/ y (/ (+ (- t z) 1.0) a)))
4.5b	(/ y (/ (+ (- t z) 1.0) a))
9.7b	(/ z (/ (+ (- t z) 1.0) a))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

268×	`*-un-lft-identity`
252×	`times-frac`
135×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
56×	`distribute-lft-out`
41×	`associate-/r*`
29×	`distribute-lft-out--`
16×	`add-exp-log` `add-cbrt-cube`
11×	`div-inv` `associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1`
3×	`frac-2neg` `clear-num` `difference-of-squares`
2×	`associate-/r/` `associate-/l/`
1×	`associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `div-sub` `flip--` `flip-+`

Counts

4 → 242

Calls

4 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
49.0ms	(- x (/ y (/ (+ (- t z) 1.0) a)))
21.0ms	(/ y (/ (+ (- t z) 1.0) a))
24.0ms	(/ z (/ (+ (- t z) 1.0) a))

series350.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (+ (- t z) 1.0) a)
71.0ms	(- x (/ y (/ (+ (- t z) 1.0) a)))
126.0ms	(/ y (/ (+ (- t z) 1.0) a))
120.0ms	(/ z (/ (+ (- t z) 1.0) a))

simplify96.0ms

Algorithm

egg-herbie

Counts

254 → 254

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	763	2108
1	3250	2022
2	5001	2022

prune581.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes95.0ms

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

sample528.0ms

Algorithm

intervals

Results

280.0ms	8504×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid