Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

326×

body

valid

simplify114.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.0b	(fma (/ y t) (- z x) 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 t) (- z x) x)

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

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:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)
0.0ms	(fma (/ y t) (- z x) x)

series265.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt (fma (/ y t) (- z x) x))
30.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)
28.0ms	(fma (/ y t) (- z x) x)

simplify35.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (30.0ms)

Iter	Nodes	Cost
0	116	320
1	284	290
2	1044	260
3	5001	255

prune153.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

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

series115.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune177.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)
2.0b	(fma (/ y t) (- z x) x)

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

series112.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)
30.0ms	(fma (/ y t) (- z x) x)
27.0ms	(fma (/ y t) (- z x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	276
1	93	248
2	270	212
3	1300	212
4	5001	212

prune189.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes159.0ms

Accuracy

24.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample531.0ms

Algorithm

intervals

Results

270.0ms

10592×

body

valid