Details

sample29.0ms

Algorithm

intervals

Results

17.0ms

371×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	2
1	24	2
2	47	2
3	71	2
4	71	2

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (fma x y z) y t)

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 (fma x y z) y t)

series56.0ms

Counts

1 → 3

Calls

1 calls:

56.0ms

(fma (fma x y z) y t)

simplify60.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	39	47
1	91	38
2	366	38
3	1887	38
4	5001	38

prune34.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
21×	`sqrt-prod`
20×	`pow1`
13×	`add-cube-cbrt` `*-un-lft-identity`
9×	`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×	`fma-udef`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

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

series465.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(sqrt (fma (fma x y z) y t))
54.0ms	(fma (fma x y z) y t)
56.0ms	(fma (fma x y z) y t)
52.0ms	(* (sqrt (fma (fma x y z) y t)) (sqrt (fma (fma x y z) y t)))

simplify175.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	207	441
1	758	374
2	4790	357
3	5001	357

prune195.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (fma (fma x y z) y t)))
0.1b	(sqrt (sqrt (fma (fma x y z) y t)))
0.1b	(* (sqrt (sqrt (fma (fma x y z) y t))) (pow (sqrt (sqrt (fma (fma x y z) y t))) 3))
0.3b	(pow (sqrt (sqrt (fma (fma x y z) y t))) 3)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

107×	`sqrt-prod`
74×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
25×	`add-cube-cbrt` `*-un-lft-identity`
24×	`associate-r` `unswap-sqr`
12×	`pow1` `sqrt-pow1`
10×	`add-exp-log`
9×	`associate-l`
7×	`add-cbrt-cube`
6×	`pow1/2`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 156

Calls

4 calls:

1.0ms	(sqrt (sqrt (fma (fma x y z) y t)))
1.0ms	(sqrt (sqrt (fma (fma x y z) y t)))
22.0ms	(* (sqrt (sqrt (fma (fma x y z) y t))) (pow (sqrt (sqrt (fma (fma x y z) y t))) 3))
3.0ms	(pow (sqrt (sqrt (fma (fma x y z) y t))) 3)

series603.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(sqrt (sqrt (fma (fma x y z) y t)))
147.0ms	(sqrt (sqrt (fma (fma x y z) y t)))
59.0ms	(* (sqrt (sqrt (fma (fma x y z) y t))) (pow (sqrt (sqrt (fma (fma x y z) y t))) 3))
244.0ms	(pow (sqrt (sqrt (fma (fma x y z) y t))) 3)

simplify69.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	374	1668
1	1719	1181
2	5002	1033

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.4b	(fma (pow y 2) x (fma z y t))

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 (pow y 2) x (fma z y t))

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(fma (pow y 2) x (fma z y t))

simplify121.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 4 (119.0ms)

Iter	Nodes	Cost
0	34	57
1	108	50
2	531	50
3	3643	50
4	5001	48

prune35.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes93.0ms

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	6	2

end0.0ms

sample807.0ms

Algorithm

intervals

Results

530.0ms

11392×

body

valid