Details

Time bar (total: 14.7s)

sample130.0ms

Algorithm
intervals
Results
103.0ms690×body80valid

simplify2.4s

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
0.0b
(* (* b b) 4)
0.0b
(+ (* a a) (* b b))
0.0b
(+ (* a a) (* b b))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
8×flip3-+ flip-+ add-log-exp
6×associate-*r*
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16
3×swap-sqr
2×+-commutative sum-log associate-*l/ associate-*r/ *-commutative unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 80
Calls
4 calls:
Slowest
46.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
19.0ms
(* (* b b) 4)
17.0ms
(+ (* a a) (* b b))
15.0ms
(+ (* a a) (* b b))

series176.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
59.0ms
(* (+ (* a a) (* b b)) (+ (* a a) (* b b)))
42.0ms
(+ (* a a) (* b b))
40.0ms
(+ (* a a) (* b b))
34.0ms
(* (* b b) 4)

simplify1.8s

Counts
92 → 92

prune907.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 4 expressions with local error:

10.0b
(sqrt (+ (* a a) (* b b)))
10.0b
(sqrt (+ (* a a) (* b b)))
0.2b
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
0.1b
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
46×sqrt-div
35×flip3-+ flip-+
32×frac-times
30×pow1
19×add-sqr-sqrt
16×associate-*r/
15×pow-prod-up
13×sqrt-prod
12×sqrt-pow1 pow1/2 associate-*l*
11×*-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
10×associate-*l/
6×pow-plus
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 add-log-exp
2×rem-sqrt-square cube-unmult *-commutative unswap-sqr
Counts
4 → 131
Calls
4 calls:
Slowest
115.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
55.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
7.0ms
(sqrt (+ (* a a) (* b b)))
6.0ms
(sqrt (+ (* a a) (* b b)))

series275.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b)))
51.0ms
(sqrt (+ (* a a) (* b b)))
47.0ms
(* (sqrt (+ (* a a) (* b b))) (* (sqrt (+ (* a a) (* b b))) (+ (* a a) (* b b))))
41.0ms
(sqrt (+ (* a a) (* b b)))

simplify891.0ms

Counts
143 → 143

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

10.0b
(sqrt (+ (* a a) (* b b)))
0.0b
(pow (sqrt (+ (* a a) (* b b))) 4)
0.0b
(* (* b b) 4)
0.0b
(+ (* a a) (* b b))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-sqr-sqrt
10×add-exp-log
9×*-un-lft-identity add-cbrt-cube add-cube-cbrt
6×unpow-prod-down sqrt-prod add-log-exp
4×insert-posit16
3×pow-unpow pow-pow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
1×pow-to-exp +-commutative rem-sqrt-square sum-log associate-*l* pow-exp *-commutative sqrt-pow2 unswap-sqr sqr-pow
Counts
4 → 72
Calls
4 calls:
Slowest
21.0ms
(* (* b b) 4)
15.0ms
(+ (* a a) (* b b))
12.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
8.0ms
(sqrt (+ (* a a) (* b b)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(pow (sqrt (+ (* a a) (* b b))) 4)
65.0ms
(sqrt (+ (* a a) (* b b)))
49.0ms
(+ (* a a) (* b b))
31.0ms
(* (* b b) 4)

simplify1.0s

Counts
84 → 84

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.7s

Algorithm
intervals
Results
3.2s20263×body80valid