Details

sample34.0ms

Algorithm

intervals

Results

18.0ms

283×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (25.0ms)

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.7b	(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:

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

series52.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/ a (+ (- t z) 1.0))
43.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify94.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (22.0ms)

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

prune427.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* a (/ 1 (+ (- t z) 1.0)))
1.7b	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity`
32×	`times-frac`
30×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
14×	`distribute-lft-out`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3-+` `1-exp` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

20.0ms	(/ 1 (+ (- t z) 1.0))
41.0ms	(* a (/ 1 (+ (- t z) 1.0)))
0.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series57.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ 1 (+ (- t z) 1.0))
10.0ms	(* a (/ 1 (+ (- t z) 1.0)))
42.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	329	603
1	1424	518
2	5001	473

prune645.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.6b

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))

rewrite187.0ms

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:

34.0ms	(/ (+ (- t z) 1.0) a)
81.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series86.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ (+ (- t z) 1.0) a)
36.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
42.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify160.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (37.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune3.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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)

rewrite84.0ms

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:

2.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
24.0ms	(/ (- y z) (+ (- t z) 1.0))
52.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

series87.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
12.0ms	(/ (- y z) (+ (- t z) 1.0))
38.0ms	(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify53.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (42.0ms)

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

prune885.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes315.0ms

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

sample818.0ms

Algorithm

intervals

Results

558.0ms	8504×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid