Details

Time bar (total: 6.0s)

sample95.0ms

Algorithm
intervals
Results
58.0ms669×body80valid

simplify55.0ms

Counts
1 → 1

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
0.0b
(+ (* a a) (* b b))
0.0b
(* 4.0 (* b b))
0.4b
(pow (+ (* a a) (* b b)) 2.0)

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
3×unpow-prod-down pow-unpow associate-*l* pow-prod-down prod-exp cbrt-unprod
2×+-commutative flip3-+ sum-log flip-+
1×pow-to-exp pow-pow associate-*r* pow-exp *-commutative unswap-sqr sqr-pow
Counts
4 → 58
Calls
4 calls:
81.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
8.0ms
(+ (* a a) (* b b))
17.0ms
(* 4.0 (* b b))
22.0ms
(pow (+ (* a a) (* b b)) 2.0)

series326.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
32.0ms
(+ (* a a) (* b b))
36.0ms
(* 4.0 (* b b))
141.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify122.0ms

Counts
70 → 70

prune256.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
1.9b
(* (pow a 2) (pow b 2))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
27×add-sqr-sqrt
16×unswap-sqr
15×add-log-exp
14×unpow-prod-down *-un-lft-identity
12×pow-to-exp pow-exp
11×associate-*l* add-cbrt-cube
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
3×diff-log
2×pow-prod-down *-commutative distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+ distribute-lft-out difference-of-squares
Counts
4 → 105
Calls
4 calls:
388.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
14.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
46.0ms
(* 2 (* (pow a 2) (pow b 2)))
20.0ms
(* (pow a 2) (pow b 2))

series268.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))) 1.0)
68.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
57.0ms
(* 2 (* (pow a 2) (pow b 2)))
64.0ms
(* (pow a 2) (pow b 2))

simplify46.0ms

Counts
117 → 117

prune361.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
0.0b
(* 2.0 (* (pow a 2) (pow b 2)))
0.0b
(* 4.0 (* b b))
1.9b
(* (pow a 2) (pow b 2))

rewrite233.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
31×prod-exp
27×add-sqr-sqrt
17×unswap-sqr
16×add-cbrt-cube
14×unpow-prod-down associate-*l*
12×pow-to-exp pow-exp
11×pow1
10×add-cube-cbrt *-un-lft-identity associate-*r* unpow2 sqr-pow
9×add-log-exp
7×cbrt-unprod
5×pow-prod-down
3×sum-log *-commutative
1×+-commutative associate-+l+ flip3-+ flip-+
Counts
4 → 108
Calls
4 calls:
111.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
42.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
35.0ms
(* 4.0 (* b b))
37.0ms
(* (pow a 2) (pow b 2))

series218.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(+ (+ (pow b 4) (* 2.0 (* (pow a 2) (pow b 2)))) (* 4.0 (* b b)))
40.0ms
(* 2.0 (* (pow a 2) (pow b 2)))
45.0ms
(* 4.0 (* b b))
54.0ms
(* (pow a 2) (pow b 2))

simplify63.0ms

Counts
120 → 120

prune335.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes171.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify52.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
2.0s20539×body80valid