Details

Time bar (total: 21.0s)

sample77.0ms

Algorithm
intervals
Results
55.0ms673×body80valid

simplify3.5s

Counts
1 → 1
Iterations
IterNodes
done5000
54328
41635
3521
2171
153
018

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
0.1b
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
0.1b
(* a (fma (- 1.0 a) a (* b b)))
0.4b
(pow (fma b b (* a a)) 2.0)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
7×pow1 add-exp-log
6×add-cbrt-cube
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×pow-unpow unpow-prod-down associate-*r* associate-*l*
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr sqr-pow
Counts
4 → 61
Calls
4 calls:
0.0ms
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
0.0ms
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
6.0ms
(* a (fma (- 1.0 a) a (* b b)))
2.0ms
(pow (fma b b (* a a)) 2.0)

series426.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0))
75.0ms
(fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b))))
79.0ms
(* a (fma (- 1.0 a) a (* b b)))
114.0ms
(pow (fma b b (* a a)) 2.0)

simplify1.9s

Counts
73 → 73
Iterations
IterNodes
done5004
32632
2759
1284
0127

prune464.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize84.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (fma b b (* a a)) 2.0)
0.4b
(pow (fma b b (* a a)) 2.0)
9.2b
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))
9.2b
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×pow-unpow unpow-prod-down add-exp-log sqrt-prod
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp rem-sqrt-square pow-pow sqrt-pow1 pow1/2 pow-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
4.0ms
(pow (fma b b (* a a)) 2.0)
4.0ms
(pow (fma b b (* a a)) 2.0)
2.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))
2.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(pow (fma b b (* a a)) 2.0)
124.0ms
(pow (fma b b (* a a)) 2.0)
284.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))
269.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (pow (fma b b (* a a)) 2.0)))

simplify2.3s

Counts
80 → 80
Iterations
IterNodes
done5005
43721
31321
2489
1214
098

prune646.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize115.0ms

Local error

Found 4 expressions with local error:

9.2b
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (* (* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0))) (cbrt (pow (fma b b (* a a)) 2.0)))))
17.2b
(cbrt (pow (fma b b (* a a)) 2.0))
17.2b
(cbrt (pow (fma b b (* a a)) 2.0))
17.2b
(cbrt (pow (fma b b (* a a)) 2.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
9×unpow-prod-down
5×pow1
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u add-log-exp
3×pow1/3 sqrt-prod sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 66
Calls
4 calls:
2.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (* (* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0))) (cbrt (pow (fma b b (* a a)) 2.0)))))
2.0ms
(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 (* a a)) 2.0))

series934.0ms

Counts
4 → 12
Calls
4 calls:
290.0ms
(sqrt (fma (fma 3.0 (* b b) (* a (fma (- 1.0 a) a (* b b)))) 4.0 (* (* (cbrt (pow (fma b b (* a a)) 2.0)) (cbrt (pow (fma b b (* a a)) 2.0))) (cbrt (pow (fma b b (* a a)) 2.0)))))
238.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
177.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
229.0ms
(cbrt (pow (fma b b (* a a)) 2.0))

simplify2.3s

Counts
78 → 78
Iterations
IterNodes
done5006
43006
31112
2468
1212
0109

prune850.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize159.0ms

Local error

Found 4 expressions with local error:

9.7b
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
9.7b
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
17.2b
(cbrt (pow (fma b b (* a a)) 2.0))
17.2b
(cbrt (pow (fma b b (* a a)) 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
34×cbrt-prod
18×unpow-prod-down
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×sqrt-prod
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp sqr-pow
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
2.0ms
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
2.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
2.0ms
(cbrt (pow (fma b b (* a a)) 2.0))

series855.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
199.0ms
(cbrt (pow (sqrt (fma b b (* a a))) 2.0))
249.0ms
(cbrt (pow (fma b b (* a a)) 2.0))
235.0ms
(cbrt (pow (fma b b (* a a)) 2.0))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5000
42266
3843
2339
1175
0100

prune781.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes236.0ms

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
done17
117
016

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.5s20710×body80valid