Details

Time bar (total: 2.1s)

sample19.0ms

Algorithm
intervals
Results
9.0ms439×body80valid

simplify281.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

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))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma 3 (* y y) (* x x))

simplify57.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252

prune30.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(+ (* 3 (* y y)) (* x x))
7.0ms
(* 3 (* y y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* 3 (* y y)) (* x x))
29.0ms
(* 3 (* y y))

simplify86.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0173174
1696156
22692148
35001148

prune70.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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:
6.0ms
(+ (* (* 3 y) y) (* x x))
7.0ms
(* (* 3 y) y)

series59.0ms

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

simplify128.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (122.0ms)

IterNodesCost
0182172
1899155
24389147
35001145

prune67.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

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))

rewrite70.0ms

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:
27.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
32.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
8.0ms
(* (cbrt 3) (* y y))

series228.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(+ (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y))) (* x x))
93.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
51.0ms
(* (cbrt 3) (* y y))

simplify43.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0274595
11133461
25001387

prune134.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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

sample546.0ms

Algorithm
intervals
Results
318.0ms14297×body80valid