Details

Time bar (total: 18.5s)

sample72.0ms

Algorithm
intervals
Results
52.0ms656×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5000
43560
3785
2201
158
019

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
0.1b
(* (* a a) (+ 1 a))
0.3b
(pow (+ (* a a) (* b b)) 2)
0.7b
(* (* b b) (- 1 (* 3 a)))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
8×fma-def
7×distribute-rgt-in distribute-lft-in associate-*r*
6×unpow-prod-down prod-diff pow-prod-down prod-exp cbrt-unprod add-log-exp
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u
3×pow-unpow
2×associate-+r+ sub-neg flip3-+ associate-*l* *-commutative flip-+ unpow2 unswap-sqr sqr-pow
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow-exp flip-- distribute-lft-out
Counts
4 → 106
Calls
4 calls:
122.0ms
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
37.0ms
(* (* a a) (+ 1 a))
11.0ms
(pow (+ (* a a) (* b b)) 2)
38.0ms
(* (* b b) (- 1 (* 3 a)))

series368.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(+ (pow (+ (* a a) (* b b)) 2) (* 4 (+ (* (* a a) (+ 1 a)) (* (* b b) (- 1 (* 3 a))))))
70.0ms
(* (* a a) (+ 1 a))
48.0ms
(pow (+ (* a a) (* b b)) 2)
77.0ms
(* (* b b) (- 1 (* 3 a)))

simplify2.1s

Counts
118 → 118
Iterations
IterNodes
done5000
22096
1569
0191

prune704.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
0.2b
(* (* a a) (* a a))
0.7b
(* (* b b) (- 1 (* 3 a)))
0.9b
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
36×pow-prod-up
26×pow-prod-down
22×pow-sqr
21×add-cbrt-cube add-exp-log
18×pow-plus
13×pow2
11×prod-exp cbrt-unprod
8×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
2×sub-neg associate-*l* associate-*r/ *-commutative fma-udef unswap-sqr
1×flip3-- swap-sqr flip--
Counts
4 → 122
Calls
4 calls:
1.0ms
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
61.0ms
(* (* a a) (* a a))
37.0ms
(* (* b b) (- 1 (* 3 a)))
1.0ms
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

series312.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a))))
43.0ms
(* (* a a) (* a a))
74.0ms
(* (* b b) (- 1 (* 3 a)))
101.0ms
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))

simplify1.5s

Counts
134 → 134
Iterations
IterNodes
done5001
21388
1433
0150

prune583.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize65.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* a a) (+ 1 a))
0.1b
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
0.7b
(* (* b b) (- 1 (* 3 a)))
0.9b
(fma (* 2 (* a a)) (* b b) (pow a 4))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-cbrt-cube add-exp-log
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
7×associate-*r*
6×distribute-rgt-in distribute-lft-in prod-diff pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
2×sub-neg associate-*l* *-commutative fma-udef unswap-sqr
1×flip3-+ flip3-- flip-+ flip-- distribute-lft-out
Counts
4 → 83
Calls
4 calls:
40.0ms
(* (* a a) (+ 1 a))
0.0ms
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
47.0ms
(* (* b b) (- 1 (* 3 a)))
1.0ms
(fma (* 2 (* a a)) (* b b) (pow a 4))

series376.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(* (* a a) (+ 1 a))
113.0ms
(fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (pow a 4)))
83.0ms
(* (* b b) (- 1 (* 3 a)))
77.0ms
(fma (* 2 (* a a)) (* b b) (pow a 4))

simplify1.4s

Counts
95 → 95
Iterations
IterNodes
done5000
21416
1416
0152

prune570.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize89.0ms

Local error

Found 4 expressions with local error:

0.9b
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
19.9b
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
19.9b
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
19.9b
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 53
Calls
4 calls:
0.0ms
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
1.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
1.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
1.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))
210.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
214.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))
215.0ms
(cbrt (fma (* b b) (* b b) (fma (* 2 (* a a)) (* b b) (* (* a a) (* a a)))))

simplify1.4s

Counts
65 → 65
Iterations
IterNodes
done5003
3987
2283
1106
059

prune606.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done31
131
021

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.4s20324×body80valid