Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

270×

body

valid

simplify116.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (33.0ms)

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

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.8b

Counts

2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.8b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite10.0ms

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:

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

series212.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ a (+ (- t z) 1.0))
172.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify117.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	207	330
1	712	301
2	3081	297
3	5002	297

prune120.0ms

Filtered

55 candidates to 40 candidates (27.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	47	8	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	47	10	57

Merged error: 1.1b

Counts

57 → 10

localize10.0ms

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)
9.1b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

914×	`*-un-lft-identity`
713×	`times-frac`
566×	`add-sqr-sqrt`
403×	`add-cube-cbrt`
336×	`prod-diff`
149×	`distribute-lft-out--`
142×	`distribute-lft-out`
80×	`difference-of-squares`
52×	`associate-/r/`
34×	`associate-/r*`
30×	`associate-/l*`
26×	`div-inv`
12×	`associate-/l/`
10×	`add-exp-log` `add-cbrt-cube`
6×	`frac-2neg` `clear-num`
5×	`flip3-+` `flip-+` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `fma-neg` `div-sub` `log1p-expm1-u`
2×	`flip3--` `flip--`
1×	`associate-+l-` `sub-neg` `diff-log` `associate--r-`

Counts

3 → 549

Calls

3 calls:

50.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
11.0ms	(/ (+ (- t z) 1.0) a)
18.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series283.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
40.0ms	(/ (+ (- t z) 1.0) a)
142.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify200.0ms

Algorithm

egg-herbie

Counts

558 → 558

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	2036	17325
1	5001	13555

prune736.0ms

Filtered

558 candidates to 236 candidates (57.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	555	3	558
Fresh	8	0	8
Picked	1	0	1
Done	0	1	1
Total	564	4	568

Merged error: 0b

Counts

568 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 1 x (- (* (- a) (/ (- y z) (- (+ (- t z) 1.0))))))
0.0b	(/ (- y z) (- (+ (- t z) 1.0)))
0.0b	(/ (- y z) (- (+ (- t z) 1.0)))
0.9b	(* (- a) (/ (- y z) (- (+ (- t z) 1.0))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

380×	`*-un-lft-identity`
211×	`times-frac`
202×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
93×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
82×	`distribute-lft-out--`
76×	`associate-r`
72×	`distribute-lft-out`
45×	`difference-of-squares`
42×	`associate-/r*`
24×	`associate-*r/`
19×	`neg-mul-1`
17×	`associate-/l*`
13×	`add-exp-log` `add-cbrt-cube`
10×	`associate-l`
6×	`pow1` `associate-/r/` `associate-/l/` `distribute-neg-frac`
4×	`expm1-log1p-u` `clear-num` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `un-div-inv` `flip--` `flip-+` `div-inv`
2×	`div-sub` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-neg-out` `pow-prod-down` `*-commutative` `fma-udef`

Counts

4 → 357

Calls

4 calls:

1.0ms	(fma 1 x (- (* (- a) (/ (- y z) (- (+ (- t z) 1.0))))))
15.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
14.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
40.0ms	(* (- a) (/ (- y z) (- (+ (- t z) 1.0))))

series346.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma 1 x (- (* (- a) (/ (- y z) (- (+ (- t z) 1.0))))))
61.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
61.0ms	(/ (- y z) (- (+ (- t z) 1.0)))
97.0ms	(* (- a) (/ (- y z) (- (+ (- t z) 1.0))))

simplify144.0ms

Algorithm

egg-herbie

Counts

369 → 369

Iterations

Useful iterations: 2 (109.0ms)

Iter	Nodes	Cost
0	819	3122
1	3842	3011
2	5001	3000

prune797.0ms

Filtered

369 candidates to 221 candidates (40.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	369	0	369
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	369	4	373

Merged error: 0b

Counts

373 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
0.0b	(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
1.7b	(- (/ t a) (/ z a))
9.1b	(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

333×	`add-sqr-sqrt`
328×	`*-un-lft-identity`
314×	`times-frac`
290×	`add-cube-cbrt`
226×	`prod-diff`
81×	`frac-sub`
65×	`associate-/r*`
59×	`associate-/l*`
33×	`div-inv`
21×	`frac-2neg`
19×	`clear-num` `difference-of-squares`
18×	`distribute-lft-out--`
16×	`fma-neg`
8×	`add-log-exp`
7×	`sub-div`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`flip3--` `flip--`
2×	`sub-neg` `diff-log` `div-sub` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-out--` `div-exp` `fma-udef` `associate--r-`

Counts

4 → 421

Calls

4 calls:

12.0ms	(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
1.0ms	(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
24.0ms	(- (/ t a) (/ z a))
7.0ms	(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

series294.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(- x (/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))))
39.0ms	(fma 1.0 (/ 1 a) (- (/ t a) (/ z a)))
25.0ms	(- (/ t a) (/ z a))
92.0ms	(/ (- y z) (fma 1.0 (/ 1 a) (- (/ t a) (/ z a))))

simplify140.0ms

Algorithm

egg-herbie

Counts

433 → 433

Iterations

Useful iterations: 1 (59.0ms)

Iter	Nodes	Cost
0	1999	9491
1	5001	7258

prune770.0ms

Filtered

433 candidates to 224 candidates (48.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	432	1	433
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	433	4	437

Merged error: 0b

Counts

437 → 4

regimes124.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	18
1	44	18
2	58	18
3	82	18
4	93	18
5	95	18
6	95	18

end0.0ms

sample542.0ms

Algorithm

intervals

Results

292.0ms	8469×	body	80	valid
0.0ms	1×	body	640	valid