Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

346×

body

valid

simplify93.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 1 expressions with local error:

1.9b	(fma (/ x y) (- z t) t)

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

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify37.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune37.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fma (/ x y) (- z t) t))
1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

0.0ms	(cbrt (fma (/ x y) (- z t) t))
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series271.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt (fma (/ x y) (- z t) t))
31.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
27.0ms	(fma (/ x y) (- z t) t)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	117	320
1	282	290
2	1045	260
3	5001	255

prune176.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 2.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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

4 → 40

Calls

4 calls:

0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series116.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)
28.0ms	(fma (/ x y) (- z t) t)

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	276
1	91	248
2	268	212
3	1261	212
4	5002	212

prune185.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 2.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fma (/ x y) (- z t) t))
0.3b	(* (sqrt (fma (/ x y) (- z t) t)) (sqrt (fma (/ x y) (- z t) t)))
1.9b	(fma (/ x y) (- z t) t)
1.9b	(fma (/ x y) (- z t) t)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

1.0ms	(sqrt (fma (/ x y) (- z t) t))
7.0ms	(* (sqrt (fma (/ x y) (- z t) t)) (sqrt (fma (/ x y) (- z t) t)))
0.0ms	(fma (/ x y) (- z t) t)
0.0ms	(fma (/ x y) (- z t) t)

series175.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sqrt (fma (/ x y) (- z t) t))
29.0ms	(* (sqrt (fma (/ x y) (- z t) t)) (sqrt (fma (/ x y) (- z t) t)))
28.0ms	(fma (/ x y) (- z t) t)
32.0ms	(fma (/ x y) (- z t) t)

simplify145.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	192	575
1	660	505
2	3434	455
3	5001	437

prune181.0ms

Filtered

98 candidates to 54 candidates (55.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 1.9b

regimes225.0ms

Accuracy

0% (0.1b remaining)

Error of 2.3b against oracle of 2.2b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample538.0ms

Algorithm

intervals

Results

265.0ms

10639×

body

valid