Details

sample32.0ms

Algorithm

intervals

Results

18.0ms

403×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

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

prune5.0ms

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)

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

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

simplify57.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (17.0ms)

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

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

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

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	33	69
1	77	60
2	253	60
3	1336	60
4	5001	60

prune37.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- t x) (- y z) x)
0.0b	(sqrt (fma (- t x) (- y z) x))
0.0b	(sqrt (fma (- t x) (- y z) x))
0.2b	(* (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)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(fma (- t x) (- y z) x)
226.0ms	(sqrt (fma (- t x) (- y z) x))
230.0ms	(sqrt (fma (- t x) (- y z) x))
50.0ms	(* (sqrt (fma (- t x) (- y z) x)) (sqrt (fma (- t x) (- y z) x)))

simplify177.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (168.0ms)

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

prune222.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- t x) (- y z) x)
0.0b	(sqrt (fma (- t x) (- y z) x))
0.2b	(pow (sqrt (fma (- t x) (- y z) x)) 4)
14.8b	(sqrt (pow (sqrt (fma (- t x) (- y z) x)) 4))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`sqrt-prod`
15×	`add-sqr-sqrt`
14×	`unpow-prod-down`
11×	`add-cube-cbrt` `*-un-lft-identity`
7×	`pow1`
5×	`add-exp-log` `rem-sqrt-square`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `sqrt-pow1` `pow1/2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `sqrt-pow2` `fma-udef`

Counts

4 → 75

Calls

4 calls:

0.0ms	(fma (- t x) (- y z) x)
1.0ms	(sqrt (fma (- t x) (- y z) x))
2.0ms	(pow (sqrt (fma (- t x) (- y z) x)) 4)
3.0ms	(sqrt (pow (sqrt (fma (- t x) (- y z) x)) 4))

series1.4s

Counts

4 → 12

Calls

4 calls:

50.0ms	(fma (- t x) (- y z) x)
231.0ms	(sqrt (fma (- t x) (- y z) x))
1.0s	(pow (sqrt (fma (- t x) (- y z) x)) 4)
53.0ms	(sqrt (pow (sqrt (fma (- t x) (- y z) x)) 4))

simplify124.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	239	573
1	821	505
2	3654	457
3	5001	451

prune238.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes112.0ms

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

sample869.0ms

Algorithm

intervals

Results

558.0ms

12211×

body

valid