Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

348×

body

valid

simplify133.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

2.7b	(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)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify49.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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

prune36.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (/ y t) (- z x) x)) (cbrt (fma (/ y t) (- z x) x)))
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`fma-udef`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 72

Calls

4 calls:

11.0ms	(* (cbrt (fma (/ y t) (- z x) x)) (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)

series430.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt (fma (/ y t) (- z x) x)) (cbrt (fma (/ y t) (- z x) x)))
29.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)
29.0ms	(fma (/ y t) (- z x) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	182	677
1	651	618
2	2892	532
3	5001	521

prune238.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(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)

series121.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (/ y t) (- z x) x)
29.0ms	(fma (/ y t) (- z x) x)
32.0ms	(fma (/ y t) (- z x) x)
29.0ms	(fma (/ y t) (- z x) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (8.0ms)

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

prune199.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(fma (/ y t) (- z x) x)
2.7b	(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)

series125.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(fma (/ y t) (- z x) x)
29.0ms	(fma (/ y t) (- z x) x)
30.0ms	(fma (/ y t) (- z x) x)
33.0ms	(fma (/ y t) (- z x) x)

simplify55.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (9.0ms)

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

prune205.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes207.0ms

Accuracy

64.5% (0.8b remaining)

Error of 0.8b 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

sample632.0ms

Algorithm

intervals

Results

272.0ms

10638×

body

valid