Details

Time bar (total: 18.3s)

sample104.0ms

Algorithm
intervals
Results
71.0ms642×body80valid

simplify3.2s

Counts
1 → 1
Iterations
IterNodes
done5000
42195
3588
2179
155
019

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.8b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
15×pow1 add-exp-log
14×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
12×add-cube-cbrt
7×distribute-rgt-in fma-def 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/ log1p-expm1-u
3×pow-unpow
2×associate-+r+ sub-neg flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
1×pow-to-exp +-commutative sum-log pow-pow flip3-- pow-exp flip-- distribute-lft-out
Counts
4 → 100
Calls
4 calls:
99.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
53.0ms
(* (* a a) (+ 1.0 a))
16.0ms
(pow (+ (* a a) (* b b)) 2.0)
44.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series486.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
83.0ms
(* (* a a) (+ 1.0 a))
144.0ms
(pow (+ (* a a) (* b b)) 2.0)
89.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.6s

Counts
112 → 112
Iterations
IterNodes
done5000
24499
1620
0201

prune829.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
0.1b
(* (pow a 2) (+ 1.0 a))
0.3b
(pow (fma b b (pow a 2)) 2.0)
0.8b
(* (* b b) (- 1.0 (* 3.0 a)))

rewrite151.0ms

Algorithm
rewrite-expression-head
Rules
26×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt add-exp-log
20×add-cbrt-cube
19×pow1 *-un-lft-identity
18×prod-diff
17×add-cube-cbrt
12×associate-*l* prod-exp
10×cbrt-unprod
9×pow-prod-down
8×associate-*r* associate-*r/
7×unpow-prod-down
6×sub-neg
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow *-commutative sqr-pow
2×pow-to-exp flip3-- pow-exp flip-- unpow2
1×pow-pow flip3-+ flip-+ distribute-lft-out
Counts
4 → 131
Calls
4 calls:
61.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
35.0ms
(* (pow a 2) (+ 1.0 a))
4.0ms
(pow (fma b b (pow a 2)) 2.0)
47.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* 4.0 (* (* b b) (- 1.0 (* 3.0 a))))
78.0ms
(* (pow a 2) (+ 1.0 a))
127.0ms
(pow (fma b b (pow a 2)) 2.0)
64.0ms
(* (* b b) (- 1.0 (* 3.0 a)))

simplify2.5s

Counts
143 → 143
Iterations
IterNodes
done5000
24350
1675
0232

prune974.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (fma (* (pow a 2) 2) (* b b) (pow a 4)) (pow b 4))
1.3b
(fma (* (pow a 2) 2) (* b b) (pow a 4))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
1×+-commutative associate-+l+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
14.0ms
(+ (fma (* (pow a 2) 2) (* b b) (pow a 4)) (pow b 4))
1.0ms
(fma (* (pow a 2) 2) (* b b) (pow a 4))

series155.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (fma (* (pow a 2) 2) (* b b) (pow a 4)) (pow b 4))
94.0ms
(fma (* (pow a 2) 2) (* b b) (pow a 4))

simplify594.0ms

Counts
34 → 34
Iterations
IterNodes
done5000
2675
1125
050

prune224.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (fma (* (* b b) (pow a 2)) 2.0 (pow b 4)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
0.1b
(* (* a a) (+ 1.0 a))
0.8b
(* (* b b) (- 1.0 (* 3.0 a)))
2.5b
(* (* b b) (pow a 2))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
19×add-cbrt-cube
15×add-sqr-sqrt associate-*r* prod-exp
14×pow1
13×*-un-lft-identity
11×add-cube-cbrt
9×cbrt-unprod
7×distribute-rgt-in distribute-lft-in pow-prod-down
6×prod-diff add-log-exp unswap-sqr
4×expm1-log1p-u unpow-prod-down associate-*r/ log1p-expm1-u
3×fma-def associate-*l* *-commutative
2×pow-to-exp associate-+r+ sub-neg flip3-+ pow-exp flip-+ unpow2 sqr-pow
1×pow2 +-commutative associate-+l+ sum-log flip3-- fma-udef flip-- distribute-lft-out
Counts
4 → 110
Calls
4 calls:
7.0ms
(+ (fma (* (* b b) (pow a 2)) 2.0 (pow b 4)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
33.0ms
(* (* a a) (+ 1.0 a))
30.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
20.0ms
(* (* b b) (pow a 2))

series329.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(+ (fma (* (* b b) (pow a 2)) 2.0 (pow b 4)) (* 4.0 (+ (* (* a a) (+ 1.0 a)) (* (* b b) (- 1.0 (* 3.0 a))))))
62.0ms
(* (* a a) (+ 1.0 a))
76.0ms
(* (* b b) (- 1.0 (* 3.0 a)))
44.0ms
(* (* b b) (pow a 2))

simplify380.0ms

Counts
122 → 122
Iterations
IterNodes
done5000
1648
0212

prune825.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample3.9s

Algorithm
intervals
Results
3.3s20748×body80valid