Details

sample24.0ms

Algorithm

intervals

Results

5.0ms	256×	pre	80	true
4.0ms	256×	body	80	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	3
1	41	3
2	76	3
3	103	3
4	103	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ b c) d)
0.1b	(* a (+ (+ b c) d))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `distribute-lft-out` `add-log-exp`
5×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `fma-def` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

28.0ms	(+ (+ b c) d)
76.0ms	(* a (+ (+ b c) d))

series38.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ b c) d)
24.0ms	(* a (+ (+ b c) d))

simplify33.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	186	193
1	908	173
2	5001	173

prune99.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma d a (fma a b (* a c)))
0.0b	(fma a b (* a c))

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 d a (fma a b (* a c)))
0.0ms	(fma a b (* a c))

series64.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(fma d a (fma a b (* a c)))
32.0ms	(fma a b (* a c))

simplify31.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	43	98
1	149	86
2	790	86
3	5001	86

prune66.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma a b (* a c))
0.1b	(sqrt (fma a b (* a c)))
0.1b	(sqrt (fma a b (* a c)))
0.5b	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

rewrite18.0ms

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 a b (* a c))
1.0ms	(sqrt (fma a b (* a c)))
1.0ms	(sqrt (fma a b (* a c)))
12.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

series164.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(fma a b (* a c))
51.0ms	(sqrt (fma a b (* a c)))
47.0ms	(sqrt (fma a b (* a c)))
34.0ms	(* (sqrt (fma a b (* a c))) (sqrt (fma a b (* a c))))

simplify156.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (149.0ms)

Iter	Nodes	Cost
0	162	464
1	607	406
2	3505	384
3	5002	373

prune205.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (* a b) (* a c))
0.1b	(sqrt (+ (* a b) (* a c)))
0.1b	(sqrt (fma a b (* a c)))
0.5b	(* (sqrt (fma a b (* a c))) (sqrt (+ (* a b) (* a c))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`sqrt-prod`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`add-exp-log` `associate-l` `add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `sqrt-div` `log1p-expm1-u` `unswap-sqr`
3×	`flip3-+` `pow-prod-down` `flip-+` `distribute-lft-out`
2×	`rem-sqrt-square` `associate-*r/`
1×	`+-commutative` `fma-def` `sqrt-unprod` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod`

Counts

4 → 83

Calls

4 calls:

8.0ms	(+ (* a b) (* a c))
7.0ms	(sqrt (+ (* a b) (* a c)))
1.0ms	(sqrt (fma a b (* a c)))
29.0ms	(* (sqrt (fma a b (* a c))) (sqrt (+ (* a b) (* a c))))

series218.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* a b) (* a c))
47.0ms	(sqrt (+ (* a b) (* a c)))
52.0ms	(sqrt (fma a b (* a c)))
90.0ms	(* (sqrt (fma a b (* a c))) (sqrt (+ (* a b) (* a c))))

simplify94.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	261	564
1	874	453
2	3045	430
3	5001	430

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes107.0ms

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

sample545.0ms

Algorithm

intervals

Results

161.0ms	8000×	pre	80	true
127.0ms	8000×	body	80	valid