Details

Time bar (total: 19.4s)

sample92.0ms

Algorithm
intervals
Results
31.0ms258×body80nan
17.0ms119×body160valid
10.0ms137×body80valid

simplify1.8s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (/ t l) 2.0)
0.3b
(pow (/ Om Omc) 2.0)
0.3b
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
10.2b
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
46×times-frac
38×*-un-lft-identity
32×add-cube-cbrt unpow-prod-down
30×sqrt-prod
12×difference-of-squares
10×add-exp-log
7×pow1
6×pow-unpow
5×sqr-pow
4×pow-exp add-cbrt-cube add-log-exp
3×div-inv distribute-lft-out--
2×pow-to-exp rem-sqrt-square pow-pow div-exp associate-/r/
1×asin-acos sqrt-pow1 flip3-+ pow1/2 sqrt-div flip-+
Counts
4 → 106
Calls
4 calls:
6.0ms
(pow (/ t l) 2.0)
7.0ms
(pow (/ Om Omc) 2.0)
1.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
92.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

series704.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(pow (/ t l) 2.0)
75.0ms
(pow (/ Om Omc) 2.0)
21.0ms
(asin (sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))))
501.0ms
(sqrt (/ (- 1.0 (pow (/ Om Omc) 2.0)) (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))

simplify760.0ms

Counts
118 → 118

prune765.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 10.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
0.3b
(pow (/ Om Omc) 2.0)
0.3b
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))))
10.3b
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
95×sqrt-prod
82×times-frac
65×*-un-lft-identity
51×add-cube-cbrt
28×difference-of-squares
27×unpow-prod-down
11×associate-/l*
9×add-exp-log
8×sqr-pow
7×distribute-lft-out--
6×pow1 sqrt-div associate-/r* add-cbrt-cube
4×add-log-exp
3×pow-unpow
2×flip3-+ div-exp pow-exp associate-/r/ flip-+ div-inv associate-/l/
1×cbrt-undiv pow-to-exp rem-sqrt-square asin-acos sqrt-undiv flip3-- pow-pow frac-2neg sqrt-pow1 pow1/2 clear-num flip--
Counts
4 → 151
Calls
4 calls:
111.0ms
(/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
12.0ms
(pow (/ Om Omc) 2.0)
1.0ms
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))))
10.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

series891.0ms

Counts
4 → 12
Calls
4 calls:
494.0ms
(/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
105.0ms
(pow (/ Om Omc) 2.0)
34.0ms
(asin (fabs (/ (sqrt (- 1.0 (pow (/ Om Omc) 2.0))) (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))))
258.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

simplify905.0ms

Counts
163 → 163

prune904.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 10.6b

localize24.0ms

Local error

Found 4 expressions with local error:

7.4b
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
7.4b
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
10.3b
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
10.3b
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
26×sqrt-prod
16×add-sqr-sqrt
12×sqrt-div
10×pow1 add-cube-cbrt *-un-lft-identity sqrt-pow1
6×rem-sqrt-square pow1/2
4×add-exp-log flip3-+ add-cbrt-cube flip-+ add-log-exp
Counts
4 → 72
Calls
4 calls:
6.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
6.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
6.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
13.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

series979.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
288.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
210.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
196.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))

simplify1.3s

Counts
84 → 84

prune627.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 10.6b

localize44.0ms

Local error

Found 4 expressions with local error:

7.4b
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
10.3b
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
10.3b
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
16.3b
(cbrt (pow (sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))) 3))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
34×sqrt-prod
24×cbrt-prod
19×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
12×sqrt-div
9×unpow-prod-down cube-prod
8×pow1
6×sqrt-pow1
4×add-exp-log rem-sqrt-square flip3-+ pow1/2 add-cbrt-cube flip-+ add-log-exp
2×cube-div cbrt-div
1×cube-mult pow1/3 unpow3 rem-cbrt-cube sqr-pow
Counts
4 → 86
Calls
4 calls:
12.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
10.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
11.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
28.0ms
(cbrt (pow (sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))) 3))

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0)))))
213.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
258.0ms
(sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))
297.0ms
(cbrt (pow (sqrt (sqrt (+ 1.0 (* 2.0 (pow (/ t l) 2.0))))) 3))

simplify466.0ms

Counts
98 → 98

prune754.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 10.6b

regimes797.0ms

Accuracy

0% (0.0b remaining)

Error of 10.0b against oracle of 10.0b and baseline of 10.0b

bsearch0.0ms

simplify2.0s

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.4s8258×body80nan
1.1s3895×body160valid
522.0ms4105×body80valid