Details

Time bar (total: 4.2s)

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x 116.0) 16.0)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
17.0ms
(- (* x 116.0) 16.0)

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(- (* x 116.0) 16.0)

simplify125.0ms

Counts
15 → 15

prune36.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x 116.0) 16.0)
0.0b
(sqrt (- (* x 116.0) 16.0))
0.0b
(sqrt (- (* x 116.0) 16.0))
0.1b
(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×pow2 sub-neg pow-plus sqrt-unprod diff-log prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
8.0ms
(- (* x 116.0) 16.0)
10.0ms
(sqrt (- (* x 116.0) 16.0))
10.0ms
(sqrt (- (* x 116.0) 16.0))
67.0ms
(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

series221.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* x 116.0) 16.0)
63.0ms
(sqrt (- (* x 116.0) 16.0))
55.0ms
(sqrt (- (* x 116.0) 16.0))
50.0ms
(* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* x 116.0) 16.0)))

simplify56.0ms

Counts
111 → 111

prune202.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* x 116.0) 16.0))
0.0b
(sqrt (- (* x 116.0) 16.0))
0.1b
(* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0))))
0.1b
(* (sqrt (- (* x 116.0) 16.0)) (* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0)))))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
118×sqrt-div
85×sqrt-pow1
77×sqrt-prod
67×pow1
56×add-sqr-sqrt
45×pow1/2
39×pow-prod-up
35×flip3-- flip--
32×frac-times
20×add-cube-cbrt *-un-lft-identity
17×swap-sqr
16×associate-*r/
15×associate-*l*
12×pow-prod-down
11×add-exp-log pow-sqr add-cbrt-cube unswap-sqr
10×associate-*r* associate-*l/
4×prod-exp cbrt-unprod add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 pow-plus rem-square-sqrt
Counts
4 → 185
Calls
4 calls:
12.0ms
(sqrt (- (* x 116.0) 16.0))
10.0ms
(sqrt (- (* x 116.0) 16.0))
69.0ms
(* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0))))
165.0ms
(* (sqrt (- (* x 116.0) 16.0)) (* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0)))))

series206.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (- (* x 116.0) 16.0))
59.0ms
(sqrt (- (* x 116.0) 16.0))
51.0ms
(* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0))))
50.0ms
(* (sqrt (- (* x 116.0) 16.0)) (* (sqrt (sqrt (- (* x 116.0) 16.0))) (sqrt (sqrt (- (* x 116.0) 16.0)))))

simplify112.0ms

Counts
197 → 197

prune810.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0))))
0.3b
(* (* x 116.0) (* x 116.0))
4.7b
(/ (* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))) (* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0)))))
15.9b
(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
70×sqrt-prod
67×pow1
62×sqrt-div
48×add-sqr-sqrt
33×sqrt-pow1
30×add-exp-log add-cbrt-cube
22×pow-prod-down
17×add-cube-cbrt *-un-lft-identity pow1/2
16×swap-sqr
13×prod-exp pow-prod-up cbrt-unprod
12×frac-times flip3-+ flip-+
10×associate-*r* associate-*l*
9×pow-sqr unswap-sqr
8×associate-/r/ associate-/l/
7×flip3-- flip--
6×associate-*r/ associate-*l/
4×cbrt-undiv div-exp add-log-exp
3×pow-plus sqrt-unprod
2×pow2 *-commutative
1×rem-sqrt-square sqrt-undiv frac-2neg times-frac clear-num associate-/r* rem-square-sqrt div-inv associate-/l* difference-of-squares
Counts
4 → 171
Calls
4 calls:
78.0ms
(* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0))))
45.0ms
(* (* x 116.0) (* x 116.0))
154.0ms
(/ (* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))) (* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0)))))
76.0ms
(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0))))
39.0ms
(* (* x 116.0) (* x 116.0))
216.0ms
(/ (* (sqrt (- (* x 116.0) 16.0)) (sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))) (* (sqrt (sqrt (+ (* x 116.0) 16.0))) (sqrt (sqrt (+ (* x 116.0) 16.0)))))
97.0ms
(sqrt (- (* (* x 116.0) (* x 116.0)) (* 16.0 16.0)))

simplify89.0ms

Counts
183 → 183

prune578.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

Algorithm
intervals
Results
195.0ms7969×body80valid
2.0ms24×body1280valid
2.0ms24×body640valid
0.0ms7×body320valid
0.0ms5×body160valid