Details

Time bar (total: 3.5s)

sample34.0ms

Algorithm
intervals
Results
23.0ms478×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0164
1333
2413
3413

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma x (+ 2.0 x) (* y y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 x (+ 2.0 x) (* y y))

series35.0ms

Counts
1 → 3
Calls
1 calls:
35.0ms
(fma x (+ 2.0 x) (* y y))

simplify73.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04062
18752
238352
3209252
4500152

prune28.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (fma x (+ 2.0 x) (* y y)))
0.0b
(fma x (+ 2.0 x) (* y y))
0.0b
(fma x (+ 2.0 x) (* y y))
0.1b
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×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×fma-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (fma x (+ 2.0 x) (* y y)))
0.0ms
(fma x (+ 2.0 x) (* y y))
0.0ms
(fma x (+ 2.0 x) (* y y))
7.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(sqrt (fma x (+ 2.0 x) (* y y)))
32.0ms
(fma x (+ 2.0 x) (* y y))
30.0ms
(fma x (+ 2.0 x) (* y y))
34.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

simplify148.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (140.0ms)

IterNodesCost
0145529
1526459
23474439
35002421

prune166.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
0.0b
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
0.1b
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))))
0.4b
(* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
91×sqrt-pow1 sqrt-prod
69×pow1
60×add-sqr-sqrt
47×pow1/2
39×pow-prod-up
22×add-cube-cbrt *-un-lft-identity
17×swap-sqr
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r*
4×expm1-log1p-u rem-sqrt-square prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×*-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 167
Calls
4 calls:
1.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
1.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
28.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))))
13.0ms
(* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))

series378.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
113.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
39.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))))
113.0ms
(* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))

simplify60.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03561183
112261019
25002985

prune279.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))
0.1b
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)))
0.2b
(* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3))
0.6b
(pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
222×sqrt-prod
110×add-sqr-sqrt
40×unpow-prod-down cube-prod unswap-sqr
31×add-cube-cbrt *-un-lft-identity associate-*r*
20×add-exp-log
18×sqrt-pow1 associate-*l*
14×pow1
12×add-cbrt-cube
10×prod-exp
7×pow-pow
6×pow1/2 sqr-pow
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×pow-to-exp rem-sqrt-square pow-unpow pow-exp
2×cube-mult unpow3 *-commutative
1×pow-prod-down pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 198
Calls
4 calls:
2.0ms
(sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))
32.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)))
28.0ms
(* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3))
4.0ms
(pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)

series507.0ms

Counts
4 → 12
Calls
4 calls:
246.0ms
(sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))
38.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)))
114.0ms
(* (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3))
109.0ms
(pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)

simplify101.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05573369
124412361
250021949

prune371.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

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)

IterNodesCost
073
173

end0.0ms

sample926.0ms

Algorithm
intervals
Results
697.0ms14063×body80valid