Details

Time bar (total: 2.8s)

sample17.0ms

Algorithm
intervals
Results
8.0ms362×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0193
1413
2723
3813
4813

prune5.0ms

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))

rewrite5.0ms

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)
1.0ms
(fma x x (* x y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (fma x x (* x y)) 2.0)
40.0ms
(fma x x (* x y))

simplify65.0ms

Algorithm
egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
087151
1328132
22448132
35001132

prune66.0ms

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

rewrite14.0ms

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:
1.0ms
(fma x x (* x y))
7.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
5.0ms
(* (fma x x (* x y)) (sqrt 2.0))

series223.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma x x (* x y))
110.0ms
(* (* (fma x x (* x y)) (sqrt 2.0)) (sqrt 2.0))
77.0ms
(* (fma x x (* x y)) (sqrt 2.0))

simplify35.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0173375
1871319
25002312

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*r* sqrt-prod
20×pow1 add-exp-log add-cbrt-cube
19×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 unswap-sqr
1×fma-udef
Counts
4 → 90
Calls
4 calls:
1.0ms
(fma x x (* x y))
9.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
6.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
11.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

series339.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(fma x x (* x y))
79.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0)))
115.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
110.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt 2.0))) (sqrt 2.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0273804
11525648
25003613

prune192.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
51×sqrt-prod
39×associate-*r*
34×pow1 add-exp-log add-cbrt-cube
24×add-sqr-sqrt
20×pow-prod-down prod-exp cbrt-unprod
18×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×unswap-sqr
Counts
4 → 118
Calls
4 calls:
11.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
15.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
6.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
18.0ms
(* (* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 2.0))

series644.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0))))
85.0ms
(* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0))))
112.0ms
(* (fma x x (* x y)) (sqrt (sqrt 2.0)))
115.0ms
(* (* (* (* (fma x x (* x y)) (sqrt (sqrt 2.0))) (sqrt (sqrt (sqrt 2.0)))) (sqrt (sqrt (sqrt 2.0)))) (sqrt 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04051513
124221157
250011017

prune236.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample433.0ms

Algorithm
intervals
Results
257.0ms11177×body80valid