Details

sample25.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

6.0ms	(+ (+ b c) d)
8.0ms	(* a (+ (+ b c) d))

series40.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ (+ b c) d)
26.0ms	(* a (+ (+ b c) d))

simplify32.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 1 (7.0ms)

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

prune110.0ms

Filtered

53 candidates to 38 candidates (71.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite2.0ms

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:

1.0ms	(fma a b (* a c))
1.0ms	(fma d a (fma a b (* a c)))

series65.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

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

prune67.0ms

Filtered

26 candidates to 21 candidates (80.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ b c))
0.0b	(sqrt (+ b c))
0.0b	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
0.4b	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
8×	`pow1` `add-cube-cbrt` `sqrt-prod`
6×	`add-exp-log` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `fma-udef`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `flip-+` `hypot-def` `distribute-lft-out`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 70

Calls

4 calls:

3.0ms	(sqrt (+ b c))
4.0ms	(sqrt (+ b c))
3.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
1.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

series300.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(sqrt (+ b c))
33.0ms	(sqrt (+ b c))
117.0ms	(* a (fma (sqrt (+ b c)) (sqrt (+ b c)) d))
111.0ms	(fma (sqrt (+ b c)) (sqrt (+ b c)) d)

simplify92.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	237	478
1	877	382
2	4265	367
3	5001	365

prune195.0ms

Filtered

82 candidates to 66 candidates (80.5%)

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 (+ b c)))
0.1b	(sqrt (sqrt (+ b c)))
0.4b	(fma (sqrt (+ b c)) (* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c)))) d)
0.5b	(* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

106×	`sqrt-prod`
54×	`add-sqr-sqrt`
40×	`sqrt-pow1`
38×	`*-un-lft-identity`
32×	`sqrt-div`
31×	`pow1`
20×	`add-cube-cbrt` `pow1/2`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`pow-prod-up` `unswap-sqr`
8×	`flip3-+` `flip-+` `distribute-lft-out`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow-prod-down` `pow-sqr`
4×	`expm1-log1p-u` `frac-times` `rem-sqrt-square` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 148

Calls

4 calls:

4.0ms	(sqrt (sqrt (+ b c)))
4.0ms	(sqrt (sqrt (+ b c)))
1.0ms	(fma (sqrt (+ b c)) (* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c)))) d)
15.0ms	(* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c))))

series533.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(sqrt (sqrt (+ b c)))
189.0ms	(sqrt (sqrt (+ b c)))
127.0ms	(fma (sqrt (+ b c)) (* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c)))) d)
34.0ms	(* (sqrt (sqrt (+ b c))) (sqrt (sqrt (+ b c))))

simplify53.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	380	963
1	1568	836
2	5001	820

prune305.0ms

Filtered

160 candidates to 84 candidates (52.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes139.0ms

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	13	3
1	15	3
2	15	3

end0.0ms

sample514.0ms

Algorithm

intervals

Results

176.0ms	8000×	pre	80	true
153.0ms	8000×	body	80	valid