Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

2.6b	(fma (/ y (- z a)) (- z t) 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:

0.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify39.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	40	72
1	92	63
2	272	63
3	1084	63
4	5001	63

prune38.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
11.5b	(/ (* y (- z t)) (- z a))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 77

Calls

2 calls:

11.0ms	(* y (- z t))
16.0ms	(/ (* y (- z t)) (- z a))

series99.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* y (- z t))
61.0ms	(/ (* y (- z t)) (- z a))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune144.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.4b	(/ y (/ (- z a) (- z t)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

11.0ms	(/ (- z a) (- z t))
13.0ms	(/ y (/ (- z a) (- z t)))

series163.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(/ (- z a) (- z t))
121.0ms	(/ y (/ (- z a) (- z t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	639	1797
1	2867	1744
2	5001	1741

prune461.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ z (- z t)) (/ a (- z t)))
0.0b	(/ a (- z t))
0.0b	(/ z (- z t))
2.4b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

848×	`*-un-lft-identity`
819×	`times-frac`
798×	`add-sqr-sqrt`
444×	`add-cube-cbrt`
441×	`prod-diff`
197×	`distribute-lft-out--`
167×	`difference-of-squares`
114×	`associate-/r/`
57×	`flip3--` `flip--`
56×	`div-inv`
28×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 664

Calls

4 calls:

67.0ms	(- (/ z (- z t)) (/ a (- z t)))
5.0ms	(/ a (- z t))
5.0ms	(/ z (- z t))
71.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(- (/ z (- z t)) (/ a (- z t)))
27.0ms	(/ a (- z t))
47.0ms	(/ z (- z t))
103.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify202.0ms

Algorithm

egg-herbie

Counts

676 → 676

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1408	16592
1	4350	12318
2	5001	12318

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

end0.0ms

sample506.0ms

Algorithm

intervals

Results

254.0ms	8709×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid