Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
15.0ms354×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))

series87.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (fma x x (* x y)) 2.0)
35.0ms
(fma x x (* x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune63.0ms

Pruning

3 alts after pruning (2 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))

rewrite17.0ms

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))
11.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

series215.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(fma x x (* x y))
74.0ms
(* (fma x x (* x y)) (sqrt 2.0))
107.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0173375
1871319
25001312

prune116.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r*
22×sqrt-prod
20×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
10×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×unswap-sqr
1×fma-udef
Counts
4 → 89
Calls
4 calls:
0.0ms
(fma x x (* x y))
42.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
15.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt (sqrt 2.0)))
4.0ms
(* (fma x x (* x y)) (sqrt 2.0))

series428.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma x x (* x y))
111.0ms
(* (* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
205.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt (sqrt 2.0)))
76.0ms
(* (fma x x (* x y)) (sqrt 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0288788
11665652
25002605

prune201.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* x y))
0.2b
(* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y)))
0.3b
(* (* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt (sqrt 2.0))))
0.4b
(* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-prod
40×add-exp-log
39×associate-*r*
28×add-sqr-sqrt
26×prod-exp
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
14×associate-*l*
10×cbrt-unprod
9×unpow-prod-down cube-prod
8×pow1
4×expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative fma-udef
2×pow-prod-down
1×distribute-rgt-in cube-mult distribute-lft-in unpow3 sqr-pow
Counts
4 → 121
Calls
4 calls:
0.0ms
(fma x x (* x y))
10.0ms
(* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y)))
93.0ms
(* (* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt (sqrt 2.0))))
31.0ms
(* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3))

series818.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma x x (* x y))
242.0ms
(* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y)))
126.0ms
(* (* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3)) (sqrt (sqrt (sqrt 2.0))))
414.0ms
(* (* (sqrt (sqrt (sqrt 2.0))) (fma x x (* x y))) (pow (sqrt (sqrt 2.0)) 3))

simplify77.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
04311446
124891227
250021173

prune283.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes45.0ms

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

sample565.0ms

Algorithm
intervals
Results
394.0ms11125×body80valid