Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

271×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (35.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize10.0ms

Local error

Found 1 expressions with local error:

0.8b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series185.0ms

Counts

1 → 3

Calls

1 calls:

185.0ms

(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (78.0ms)

Iter	Nodes	Cost
0	73	99
1	218	86
2	673	83
3	2358	83
4	5001	79

prune53.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

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)))
10.3b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

874×	`*-un-lft-identity`
713×	`times-frac`
546×	`add-sqr-sqrt`
383×	`add-cube-cbrt`
300×	`prod-diff`
145×	`distribute-lft-out--`
134×	`distribute-lft-out`
80×	`difference-of-squares`
26×	`div-inv`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`associate-+l-` `sub-neg` `flip3-+` `diff-log` `flip-+` `associate--r-`

Counts

3 → 501

Calls

3 calls:

10.0ms	(/ (+ (- t z) 1.0) a)
47.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
16.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series296.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(/ (+ (- t z) 1.0) a)
106.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
152.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify161.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune1.0s

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

106×	`*-un-lft-identity`
56×	`add-sqr-sqrt`
51×	`times-frac`
31×	`associate-l`
29×	`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×	`expm1-log1p-u` `fma-neg` `associate-r` `prod-diff` `log1p-expm1-u`
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 → 126

Calls

3 calls:

3.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
13.0ms	(/ (- y z) (+ (- t z) 1.0))
18.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series322.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
60.0ms	(/ (- y z) (+ (- t z) 1.0))
152.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify68.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	470	995
1	1574	917
2	5001	911

prune348.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (- y z)) a)
0.2b	(/ (- y z) (/ 1 a))
7.9b	(* (/ (- y z) (/ 1 a)) (/ 1 (+ (- t z) 1.0)))
8.2b	(+ (* (- (- y z)) a) (* (- y z) a))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

267×	`times-frac`
222×	`add-sqr-sqrt`
202×	`*-un-lft-identity`
122×	`add-cube-cbrt`
84×	`associate-l`
80×	`add-exp-log`
40×	`div-exp`
32×	`add-cbrt-cube` `distribute-lft-out--`
29×	`difference-of-squares`
24×	`associate-r`
21×	`prod-exp`
14×	`div-inv`
13×	`associate-/r*` `unswap-sqr`
12×	`cbrt-undiv`
11×	`associate-*l/`
10×	`rec-exp` `1-exp`
8×	`pow1`
7×	`cbrt-unprod`
6×	`flip3--` `flip--` `distribute-neg-frac` `distribute-lft-out` `add-log-exp`
5×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `associate-/l*`
4×	`expm1-log1p-u` `frac-add` `associate-/r/` `log1p-expm1-u`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-lft-neg-out` `frac-times` `neg-mul-1` `distribute-rgt-out` `fma-def` `frac-2neg` `div-sub` `associate-*r/` `clear-num` `sum-log` `un-div-inv`

Counts

4 → 302

Calls

4 calls:

9.0ms	(* (- (- y z)) a)
11.0ms	(/ (- y z) (/ 1 a))
46.0ms	(* (/ (- y z) (/ 1 a)) (/ 1 (+ (- t z) 1.0)))
10.0ms	(+ (* (- (- y z)) a) (* (- y z) a))

series159.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (- (- y z)) a)
39.0ms	(/ (- y z) (/ 1 a))
86.0ms	(* (/ (- y z) (/ 1 a)) (/ 1 (+ (- t z) 1.0)))
2.0ms	(+ (* (- (- y z)) a) (* (- y z) a))

simplify74.0ms

Algorithm

egg-herbie

Counts

314 → 314

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1443	2560
1	5001	2211

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	14	6

end0.0ms

sample567.0ms

Algorithm

intervals

Results

301.0ms	8475×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid