Details

Time bar (total: 12.0s)

sample98.0ms

Algorithm
intervals
Results
59.0ms655×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01217
12517
24017
36617
412017
542617
6350717
done500117

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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:
21.0ms
(* 4.0 (* b b))
57.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
16.0ms
(+ (* a a) (* b b))
11.0ms
(pow (+ (* a a) (* b b)) 2.0)

series266.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* 4.0 (* b b))
82.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (* b b)))
30.0ms
(+ (* a a) (* b b))
127.0ms
(pow (+ (* a a) (* b b)) 2.0)

simplify1.6s

Counts
70 → 70
Iterations

Useful iterations: 2 (474.0ms)

IterNodesCost
0117931
1379856
22063778
done5001778

prune244.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
0.0b
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
0.0b
(* 2 (* (pow a 2) (pow b 2)))
3.5b
(* (pow a 2) (pow b 2))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log
28×prod-exp
25×add-sqr-sqrt
16×unswap-sqr
14×unpow-prod-down
12×pow-to-exp pow-exp
11×*-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
10×unpow2 sqr-pow
9×add-cube-cbrt associate-*r*
6×pow1
4×sum-log cbrt-unprod
2×+-commutative flip3-+ pow-prod-down *-commutative flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 101
Calls
4 calls:
16.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
48.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
51.0ms
(* 2 (* (pow a 2) (pow b 2)))
25.0ms
(* (pow a 2) (pow b 2))

series262.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (pow b 4) (* 2 (* (pow a 2) (pow b 2))))
94.0ms
(+ (pow a 4) (+ (pow b 4) (* 2 (* (pow a 2) (pow b 2)))))
49.0ms
(* 2 (* (pow a 2) (pow b 2)))
43.0ms
(* (pow a 2) (pow b 2))

simplify2.0s

Counts
113 → 113
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01461649
13861443
224081245
done50011237

prune357.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes151.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01217
11517
done1517

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.3s20583×body80valid