Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
12.0ms478×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0164
1333
2413
3413

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1

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:
1.0ms
(fma x (+ 2.0 x) (* y y))

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma x (+ 2.0 x) (* y y))

simplify68.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04062
18752
238352
3209252
4500152

prune22.0ms

Filtered
13 candidates to 11 candidates (84.6%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New12113
Fresh000
Picked011
Done000
Total12214

Merged error: 0.0b

Counts
14 → 2

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))))

rewrite11.0ms

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)))
1.0ms
(fma x (+ 2.0 x) (* y y))
1.0ms
(fma x (+ 2.0 x) (* y y))
6.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(sqrt (fma x (+ 2.0 x) (* y y)))
29.0ms
(fma x (+ 2.0 x) (* y y))
29.0ms
(fma x (+ 2.0 x) (* y y))
33.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (sqrt (fma x (+ 2.0 x) (* y y))))

simplify157.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (148.0ms)

IterNodesCost
0145529
1526459
23474439
35002421

prune148.0ms

Filtered
98 candidates to 57 candidates (58.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New96298
Fresh000
Picked101
Done011
Total973100

Merged error: 0.0b

Counts
100 → 3

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)))))

rewrite37.0ms

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:
2.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
2.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
14.0ms
(* (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))))))
12.0ms
(* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))

series367.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
112.0ms
(sqrt (sqrt (fma x (+ 2.0 x) (* y y))))
35.0ms
(* (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))))))
109.0ms
(* (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))) (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))

simplify59.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
03561183
112261019
25002985

prune227.0ms

Filtered
179 candidates to 84 candidates (46.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1781179
Fresh101
Picked011
Done011
Total1793182

Merged error: 0b

Counts
182 → 3

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
222×sqrt-prod
110×add-sqr-sqrt
40×unpow-prod-down cube-prod unswap-sqr
36×associate-*l*
31×add-cube-cbrt *-un-lft-identity
20×add-exp-log
18×sqrt-pow1
14×pow1
13×associate-*r*
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-plus pow-prod-down pow-prod-up sqrt-pow2 rem-cube-cbrt
Counts
4 → 199
Calls
4 calls:
5.0ms
(sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))
22.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3) (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))))
22.0ms
(* (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3) (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))))
5.0ms
(pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)

series503.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))
31.0ms
(* (sqrt (fma x (+ 2.0 x) (* y y))) (* (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3) (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y)))))))
125.0ms
(* (pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3) (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))))
107.0ms
(pow (sqrt (sqrt (sqrt (fma x (+ 2.0 x) (* y y))))) 3)

simplify96.0ms

Algorithm
egg-herbie
Counts
211 → 211
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05612730
123502289
250011887

prune313.0ms

Filtered
211 candidates to 93 candidates (44.1%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2110211
Fresh000
Picked011
Done022
Total2113214

Merged error: 0b

Counts
214 → 3

regimes46.0ms

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

sample558.0ms

Algorithm
intervals
Results
351.0ms14063×body80valid