Details

sample23.0ms

Algorithm

intervals

Results

9.0ms

399×

body

valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	14	4
1	30	3
2	86	3
3	290	3
4	803	3
5	1451	3
6	3457	3
7	5001	3

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (- t x) (- y z) 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 (- t x) (- y z) x)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	49	63
1	114	55
2	346	55
3	1570	54
4	5003	54

prune42.0ms

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	(fma x z (- (fma t z (* x y))))
0.0b	(fma t z (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`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

2 → 20

Calls

2 calls:

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

series89.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(fma x z (- (fma t z (* x y))))
46.0ms	(fma t z (* x y))

simplify66.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	43	110
1	112	96
2	393	96
3	1847	96
4	5001	96

prune86.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- t x) (- y z) x)
0.1b	(sqrt (fma (- t x) (- y z) x))
0.1b	(sqrt (fma (- t x) (- y z) x))
0.3b	(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`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×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

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

series616.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(fma (- t x) (- y z) x)
237.0ms	(sqrt (fma (- t x) (- y z) x))
262.0ms	(sqrt (fma (- t x) (- y z) x))
56.0ms	(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

simplify186.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (177.0ms)

Iter	Nodes	Cost
0	219	623
1	772	545
2	4347	519
3	5001	509

prune242.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
0.6b	(cbrt (fma (- t x) (- y z) x))
0.6b	(cbrt (fma (- t x) (- y z) x))
0.6b	(cbrt (fma (- t x) (- y z) x))

rewrite10.0ms

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:

6.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
1.0ms	(cbrt (fma (- t x) (- y z) x))
1.0ms	(cbrt (fma (- t x) (- y z) x))
1.0ms	(cbrt (fma (- t x) (- y z) x))

series2.0s

Counts

4 → 12

Calls

4 calls:

951.0ms	(* (cbrt (fma (- t x) (- y z) x)) (cbrt (fma (- t x) (- y z) x)))
342.0ms	(cbrt (fma (- t x) (- y z) x))
356.0ms	(cbrt (fma (- t x) (- y z) x))
343.0ms	(cbrt (fma (- t x) (- y z) x))

simplify159.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	222	811
1	828	733
2	4213	653
3	5001	653

prune358.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample617.0ms

Algorithm

intervals

Results

298.0ms

12332×

body

valid