Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

269×

body

valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (22.0ms)

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.5b	(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:

19.0ms	(/ a (+ (- t z) 1.0))
0.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series175.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ a (+ (- t z) 1.0))
142.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (20.0ms)

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

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.7b

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)))
2.5b	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

rewrite66.0ms

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:

18.0ms	(/ 1 (+ (- t z) 1.0))
44.0ms	(* a (/ 1 (+ (- t z) 1.0)))
0.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

series220.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (+ (- t z) 1.0))
35.0ms	(* a (/ 1 (+ (- t z) 1.0)))
143.0ms	(fma (* a (/ 1 (+ (- t z) 1.0))) (- z y) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (42.0ms)

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

prune227.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
2.5b	(fma (* 1 (/ a (+ (- t z) 1.0))) (- z y) x)

rewrite19.0ms

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 (* 1 (/ a (+ (- t z) 1.0))) (- z y) x)

series176.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ a (+ (- t z) 1.0))
139.0ms	(fma (* 1 (/ a (+ (- t z) 1.0))) (- z y) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	213	342
1	800	310
2	3806	306
3	5001	306

prune141.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.7b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite192.0ms

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:

82.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
35.0ms	(/ (+ (- t z) 1.0) a)
29.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series240.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
34.0ms	(/ (+ (- t z) 1.0) a)
120.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify156.0ms

Algorithm

egg-herbie

Counts

510 → 510

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	1825	16290
1	5001	12828

prune867.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes171.0ms

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

sample708.0ms

Algorithm

intervals

Results

457.0ms	8487×	body	80	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid