Details

sample27.0ms

Algorithm

intervals

Results

11.0ms

385×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	19	4
1	35	3
2	45	3
3	47	3
4	47	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

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 b a (fma x y (* z t)))
0.0ms	(fma x y (* z t))

series100.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(fma b a (fma x y (* z t)))
37.0ms	(fma x y (* z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	48	96
1	114	84
2	406	84
3	1982	84
4	5001	84

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

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 a b (* x y))
2.0ms	(fma t z (fma a b (* x y)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(fma a b (* x y))
61.0ms	(fma t z (fma a b (* x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	43	96
1	123	84
2	571	84
3	3406	84
4	5001	84

prune74.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma b a (* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t)))))
0.2b	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.2b	(sqrt (fma x y (* z t)))
1.2b	(sqrt (fma x y (* z t)))

rewrite11.0ms

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 b a (* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t)))))
6.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))

series247.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(fma b a (* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t)))))
39.0ms	(* (sqrt (fma x y (* z t))) (sqrt (fma x y (* z t))))
73.0ms	(sqrt (fma x y (* z t)))
74.0ms	(sqrt (fma x y (* z t)))

simplify145.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	174	555
1	661	474
2	3777	450
3	5001	442

prune232.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (cbrt (sqrt (fma x y (* z t)))) 4)
1.2b	(sqrt (fma x y (* z t)))
1.2b	(sqrt (fma x y (* z t)))
1.2b	(sqrt (fma x y (* z t)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
8×	`pow1`
6×	`cbrt-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `pow-unpow` `sqrt-pow1` `pow1/2`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 71

Calls

4 calls:

2.0ms	(pow (cbrt (sqrt (fma x y (* z t)))) 4)
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))
1.0ms	(sqrt (fma x y (* z t)))

series362.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(pow (cbrt (sqrt (fma x y (* z t)))) 4)
73.0ms	(sqrt (fma x y (* z t)))
73.0ms	(sqrt (fma x y (* z t)))
74.0ms	(sqrt (fma x y (* z t)))

simplify94.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	259	505
1	788	464
2	3074	448
3	5001	431

prune295.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes204.0ms

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	10	3
1	10	3

end0.0ms

sample762.0ms

Algorithm

intervals

Results

360.0ms

11962×

body

valid