Details

Time bar (total: 19.0s)

sample89.0ms

Algorithm
intervals
Results
59.0ms655×body80valid

simplify3.8s

Counts
1 → 1
Iterations
IterNodes
done5000
63761
5474
4154
387
250
126
012

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma a a (* b b))
0.0b
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
0.3b
(pow (fma a a (* b b)) 2.0)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-exp-log
3×expm1-log1p-u pow-unpow unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×fma-udef
1×pow-to-exp pow-pow pow-exp sqr-pow
Counts
3 → 39
Calls
3 calls:
0.0ms
(fma a a (* b b))
1.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
6.0ms
(pow (fma a a (* b b)) 2.0)

series304.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(fma a a (* b b))
84.0ms
(fma (* 4.0 b) b (pow (fma a a (* b b)) 2.0))
165.0ms
(pow (fma a a (* b b)) 2.0)

simplify2.1s

Counts
48 → 48
Iterations
IterNodes
done5001
32463
2544
1168
079

prune332.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (pow (fma b b (pow a 2)) 2.0)) (cbrt (pow (fma b b (pow a 2)) 2.0)))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
46×add-sqr-sqrt
29×unpow-prod-down
22×*-un-lft-identity add-cube-cbrt
16×unswap-sqr
15×sqr-pow
11×pow1
10×swap-sqr associate-*r* associate-*l*
9×pow1/3
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 117
Calls
4 calls:
18.0ms
(* (cbrt (pow (fma b b (pow a 2)) 2.0)) (cbrt (pow (fma b b (pow a 2)) 2.0)))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series975.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (pow (fma b b (pow a 2)) 2.0)) (cbrt (pow (fma b b (pow a 2)) 2.0)))
228.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
223.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
290.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify898.0ms

Counts
129 → 129
Iterations
IterNodes
done5000
21027
1248
0122

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

8.1b
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
8.1b
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt unpow-prod-down *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
2.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
2.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
2.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
236.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
277.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))
228.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify1.0s

Counts
80 → 80
Iterations
IterNodes
done5000
31741
2465
1186
098

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

8.1b
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
20.2b
(cbrt (pow (fma b b (* a a)) 2.0))
20.2b
(cbrt (pow (fma b b (* a a)) 2.0))
20.2b
(cbrt (pow (fma b b (pow a 2)) 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
12×add-sqr-sqrt unpow-prod-down *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
3.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
3.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

series997.0ms

Counts
4 → 12
Calls
4 calls:
252.0ms
(cbrt (pow (fma b b (* a a)) (/ 2.0 2)))
234.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
237.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
274.0ms
(cbrt (pow (fma b b (pow a 2)) 2.0))

simplify1.1s

Counts
80 → 80
Iterations
IterNodes
done5001
31416
2485
1222
0118

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes229.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.8s20671×body80valid