Details

Time bar (total: 2.2s)

sample22.0ms

Algorithm
intervals
Results
10.0ms484×body80valid

simplify273.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0146
1294
2504
3703
4823
51253
62293
73213
83363
94363
107903
1134923
1250013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
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 3 (* y y) (* x x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma 3 (* y y) (* x x))

simplify50.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252

prune29.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
17.0ms
(+ (* 3 (* y y)) (* x x))
19.0ms
(* 3 (* y y))

series63.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (* 3 (* y y)) (* x x))
24.0ms
(* 3 (* y y))

simplify86.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0173174
1696156
22692148
35001148

prune68.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
20.0ms
(+ (* (* 3 y) y) (* x x))
17.0ms
(* (* 3 y) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (* 3 y) y) (* x x))
25.0ms
(* (* 3 y) y)

simplify123.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0182172
1899155
24389147
35001145

prune68.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b
(* (cbrt 3) (* y y))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
add-sqr-sqrt associate-*l*
add-cube-cbrt *-un-lft-identity add-log-exp
cbrt-prod
expm1-log1p-u log1p-expm1-u
associate-*r* *-commutative unswap-sqr
+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 69
Calls
3 calls:
59.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
64.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
18.0ms
(* (cbrt 3) (* y y))

series208.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
84.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
48.0ms
(* (cbrt 3) (* y y))

simplify38.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0274595
11133461
25001387

prune128.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.1b 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)

IterNodesCost
0104
1104

end0.0ms

sample596.0ms

Algorithm
intervals
Results
302.0ms14287×body80valid