Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

294×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	13	4
1	24	3
2	28	3
3	30	3
4	30	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (fma x y z) (/ x 2.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

6.0ms

(+ (fma x y z) (/ x 2.0))

series34.0ms

Counts

1 → 3

Calls

1 calls:

34.0ms

(+ (fma x y z) (/ x 2.0))

simplify34.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	95	90
1	307	79
2	1287	79
3	5001	79

prune50.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (fma x y z))
0.0b	(sqrt (fma x y z))
0.1b	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`sqrt-prod`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
3×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`fma-udef`

Counts

3 → 40

Calls

3 calls:

2.0ms	(sqrt (fma x y z))
1.0ms	(sqrt (fma x y z))
1.0ms	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

series331.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(sqrt (fma x y z))
70.0ms	(sqrt (fma x y z))
191.0ms	(fma (sqrt (fma x y z)) (sqrt (fma x y z)) (/ x 2.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (51.0ms)

Iter	Nodes	Cost
0	168	280
1	503	235
2	2023	227
3	5002	225

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma x y z)))
0.1b	(sqrt (sqrt (fma x y z)))
0.1b	(fma (sqrt (fma x y z)) (* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z)))) (/ x 2.0))
0.3b	(* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

86×	`sqrt-prod`
54×	`add-sqr-sqrt`
40×	`sqrt-pow1`
31×	`pow1`
20×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
15×	`swap-sqr`
9×	`associate-r` `associate-l` `pow-prod-up` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 129

Calls

4 calls:

2.0ms	(sqrt (sqrt (fma x y z)))
2.0ms	(sqrt (sqrt (fma x y z)))
1.0ms	(fma (sqrt (fma x y z)) (* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z)))) (/ x 2.0))
9.0ms	(* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z))))

series472.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (sqrt (fma x y z)))
106.0ms	(sqrt (sqrt (fma x y z)))
185.0ms	(fma (sqrt (fma x y z)) (* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z)))) (/ x 2.0))
71.0ms	(* (sqrt (sqrt (fma x y z))) (sqrt (sqrt (fma x y z))))

simplify44.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	340	800
1	1274	681
2	5001	653

prune259.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes53.0ms

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	8	3
1	8	3

end0.0ms

sample396.0ms

Algorithm

intervals

Results

211.0ms	9168×	body	80	valid
0.0ms	2×	body	640	valid