Details

sample122.0ms

Algorithm

intervals

Results

48.0ms	852×	body	80	nan
18.0ms	294×	body	80	valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	111	8
2	464	8
3	1654	8
4	5001	8

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
0.0b	(+ (fma x (log y) z) (+ t a))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.1b	(fma x (log y) z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity`
9×	`add-log-exp`
5×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
3×	`fma-def` `sum-log` `distribute-lft-out`
1×	`+-commutative` `associate-+l+` `associate-+r+` `flip3-+` `flip-+`

Counts

4 → 51

Calls

4 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
8.0ms	(+ (fma x (log y) z) (+ t a))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
0.0ms	(fma x (log y) z)

series1.1s

Counts

4 → 12

Calls

4 calls:

664.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a))))
84.0ms	(+ (fma x (log y) z) (+ t a))
350.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) z) (+ t a)))
52.0ms	(fma x (log y) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	209	399
1	681	352
2	3384	347
3	5001	346

prune288.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.1b	(fma x (log y) (+ t z))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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

3 → 30

Calls

3 calls:

0.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.0ms	(fma x (log y) (+ t z))

series1.1s

Counts

3 → 9

Calls

3 calls:

662.0ms	(fma i y (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
350.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
45.0ms	(fma x (log y) (+ t z))

simplify38.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	123	297
1	302	254
2	1291	250
3	5001	250

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* i y) (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.1b	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.1b	(fma x (log y) (+ t z))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
3×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+r+` `fma-def` `flip3-+` `sum-log` `flip-+`

Counts

3 → 35

Calls

3 calls:

3.0ms	(+ (* i y) (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
0.0ms	(fma x (log y) (+ t z))

series1.1s

Counts

3 → 9

Calls

3 calls:

680.0ms	(+ (* i y) (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
361.0ms	(fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))
48.0ms	(fma x (log y) (+ t z))

simplify74.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	192	365
1	558	334
2	2729	330
3	5001	330

prune205.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.5b	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

5.0ms	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
0.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
0.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
1.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

series2.8s

Counts

4 → 12

Calls

4 calls:

1.1s	(* (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))) (cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a))))
564.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
555.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))
545.0ms	(cbrt (fma (log c) (- b 0.5) (+ (fma x (log y) (+ t z)) a)))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	378	1678
1	1348	1552
2	5001	1427

prune473.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes662.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	9
1	22	9

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.5s	27745×	body	80	nan
584.0ms	9167×	body	80	valid
0.0ms	1×	body	640	valid