Details

Time bar (total: 2.5s)

sample26.0ms

Algorithm
intervals
Results
18.0ms352×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune4.0ms

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
3.0ms
(* (fma x x (* x y)) 2.0)
0.0ms
(fma x x (* x y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* (fma x x (* x y)) 2.0)
36.0ms
(fma x x (* x y))

simplify63.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune65.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*r*
10×pow1 add-exp-log add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative unswap-sqr
1×fma-udef
Counts
3 → 57
Calls
3 calls:
0.0ms
(fma x x (* x y))
7.0ms
(* (fma x x (* x y)) (sqrt 2.0))
12.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series229.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma x x (* x y))
80.0ms
(* (fma x x (* x y)) (sqrt 2.0))
112.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify36.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0173375
1871319
25001312

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* x y))
0.2b
(* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.2b
(* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.4b
(* (* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt 2.0))

rewrite238.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
20×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
16×associate-*r*
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×cbrt-prod sqrt-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef unswap-sqr
Counts
4 → 89
Calls
4 calls:
0.0ms
(fma x x (* x y))
46.0ms
(* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
12.0ms
(* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
176.0ms
(* (* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt 2.0))

series562.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma x x (* x y))
85.0ms
(* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
320.0ms
(* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
121.0ms
(* (* (* (fma x x (* x y)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt 2.0))

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03091180
11681861
25001731

prune196.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes24.0ms

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
083
183

end0.0ms

sample691.0ms

Algorithm
intervals
Results
517.0ms11261×body80valid