Details

sample22.0ms

Algorithm

intervals

Results

9.0ms	272×	body	80	valid
0.0ms	1×	body	640	valid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (26.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.2b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

17.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series201.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ a (+ (- t z) 1.0))
161.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297

prune158.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 1.4b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
9.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite75.0ms

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` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

32.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series164.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ (- t z) 1.0) a)
130.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify78.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	639	1777
1	2468	1714
2	5001	1713

prune405.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite81.0ms

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` `expm1-log1p-u` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `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 → 106

Calls

2 calls:

24.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series176.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- y z) (+ (- t z) 1.0))
124.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	388	776
1	1314	719
2	5002	715

prune248.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (- t z) 1.0))
0.1b	(/ a (sqrt (+ (- t z) 1.0)))
0.1b	(/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0)))
0.8b	(fma (/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0))) (- z y) x)

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

534×	`*-un-lft-identity`
480×	`times-frac`
315×	`sqrt-prod`
222×	`add-sqr-sqrt`
219×	`add-cube-cbrt`
126×	`distribute-lft-out`
63×	`distribute-lft-out--`
33×	`associate-/l*`
24×	`sqrt-div`
22×	`associate-/r/`
16×	`associate-/r*`
12×	`flip3-+` `flip-+`
11×	`add-exp-log` `add-cbrt-cube` `div-inv`
5×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef` `hypot-def` `associate-/l/`

Counts

4 → 378

Calls

4 calls:

18.0ms	(sqrt (+ (- t z) 1.0))
18.0ms	(/ a (sqrt (+ (- t z) 1.0)))
57.0ms	(/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0)))
0.0ms	(fma (/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0))) (- z y) x)

series302.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ (- t z) 1.0))
79.0ms	(/ a (sqrt (+ (- t z) 1.0)))
38.0ms	(/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0)))
148.0ms	(fma (/ (/ a (sqrt (+ (- t z) 1.0))) (sqrt (+ (- t z) 1.0))) (- z y) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

390 → 390

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	810	5469
1	2926	4744
2	5001	4639

prune649.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes162.0ms

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

sample554.0ms

Algorithm

intervals

Results

296.0ms

8475×

body

valid