Details

Time bar (total: 4.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms351×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

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:
0.0ms
(fma x x (* x y))
3.0ms
(* (fma x x (* x y)) 2.0)

series87.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(fma x x (* x y))
52.0ms
(* (fma x x (* x y)) 2.0)

simplify65.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune64.0ms

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))
5.0ms
(* (fma x x (* x y)) (sqrt 2.0))
13.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series225.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma x x (* x y))
78.0ms
(* (fma x x (* x y)) (sqrt 2.0))
111.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify37.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0173375
1871319
25001312

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* x y))
0.2b
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.3b
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.4b
(* (fma x x (* x y)) (sqrt 2.0))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
36×pow1 add-exp-log
23×add-cbrt-cube
22×pow-prod-down prod-exp cbrt-unprod
16×associate-*r*
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×cbrt-prod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×unswap-sqr
1×fma-udef
Counts
4 → 93
Calls
4 calls:
0.0ms
(fma x x (* x y))
72.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
19.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
4.0ms
(* (fma x x (* x y)) (sqrt 2.0))

series620.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma x x (* x y))
118.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
386.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
79.0ms
(* (fma x x (* x y)) (sqrt 2.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
03131093
11648858
25003778

prune194.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
0.3b
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.4b
(* (fma x x (* x y)) (sqrt 2.0))
0.4b
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

rewrite426.0ms

Algorithm
rewrite-expression-head
Rules
112×pow1 add-exp-log
82×pow-prod-down prod-exp cbrt-unprod
61×add-cbrt-cube
20×associate-*r*
15×cbrt-prod add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
7×sqrt-prod
6×associate-*l*
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×unswap-sqr
Counts
4 → 146
Calls
4 calls:
313.0ms
(* (* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
19.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
4.0ms
(* (fma x x (* x y)) (sqrt 2.0))
83.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0))))) (cbrt (cbrt (sqrt 2.0))))
401.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
83.0ms
(* (fma x x (* x y)) (sqrt 2.0))
501.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (* (cbrt (cbrt (sqrt 2.0))) (cbrt (cbrt (sqrt 2.0)))))

simplify103.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
05312970
126782146
250021830

prune248.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes35.0ms

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

sample427.0ms

Algorithm
intervals
Results
243.0ms11158×body80valid