Details

Time bar (total: 22.8s)

sample309.0ms

Algorithm
intervals
Results
125.0ms101×body1280valid
76.0ms27×body2560valid
40.0ms62×body640valid
29.0ms25×body320valid
10.0ms86×body80valid
6.0ms60×body80nan
5.0ms1×body5120valid
4.0ms14×body160valid

simplify255.0ms

Calls
1 calls:
Slowest
255.0ms
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.4b

localize23.0ms

Local error

Found 3 expressions with local error:

9.7b
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))
5.8b
(pow (+ 1 (/ i n)) n)
1.2b
(fma (pow (+ 1 (/ i n)) n) 100 -100)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
6×add-exp-log
5×add-cbrt-cube div-inv
4×pow1 associate-/r*
3×expm1-log1p-u unpow-prod-down insert-posit16 log1p-expm1-u associate-/l* add-log-exp
1×pow-to-exp cbrt-undiv clear-num pow-pow frac-2neg div-exp pow-exp associate-/r/ fma-udef
Calls
3 calls:
Slowest
4.0ms
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))
2.0ms
(pow (+ 1 (/ i n)) n)
0.0ms
(fma (pow (+ 1 (/ i n)) n) 100 -100)

series454.0ms

Calls
3 calls:
Slowest
216.0ms
(/ (fma (pow (+ 1 (/ i n)) n) 100 -100) (/ i n))
143.0ms
(fma (pow (+ 1 (/ i n)) n) 100 -100)
94.0ms
(pow (+ 1 (/ i n)) n)

simplify3.0s

Calls
46 calls:
Slowest
481.0ms
(/ (* (* (fma (pow (+ 1 (/ i n)) n) 100 -100) (fma (pow (+ 1 (/ i n)) n) 100 -100)) (fma (pow (+ 1 (/ i n)) n) 100 -100)) (* (* (/ i n) (/ i n)) (/ i n)))
231.0ms
(/ (* (- (* 100 (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))) 100) n) i)
231.0ms
(- (* 100 (exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))) 100)
224.0ms
(+ (* 100 i) (+ (* 50 (pow i 2)) (* 50/3 (pow i 3))))
216.0ms
(exp (* n (- (log (/ -1 n)) (log (/ -1 i)))))

prune651.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 16.2b

localize14.0ms

Local error

Found 4 expressions with local error:

17.2b
(/ (* i (fma (fma i 50/3 50) i 100)) (/ i n))
0.1b
(fma i 50/3 50)
0.0b
(fma (fma i 50/3 50) i 100)
0.0b
(* i (fma (fma i 50/3 50) i 100))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
4×expm1-log1p-u pow1 associate-/r* times-frac fma-udef insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* div-inv
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp associate-/r/ *-commutative associate-/l*
Calls
4 calls:
Slowest
5.0ms
(/ (* i (fma (fma i 50/3 50) i 100)) (/ i n))
1.0ms
(* i (fma (fma i 50/3 50) i 100))
0.0ms
(fma i 50/3 50)
0.0ms
(fma (fma i 50/3 50) i 100)

series74.0ms

Calls
4 calls:
Slowest
22.0ms
(/ (* i (fma (fma i 50/3 50) i 100)) (/ i n))
20.0ms
(* i (fma (fma i 50/3 50) i 100))
18.0ms
(fma i 50/3 50)
13.0ms
(fma (fma i 50/3 50) i 100)

simplify2.7s

Calls
31 calls:
Slowest
502.0ms
(+ (* 100 i) (+ (* 50 (pow i 2)) (* 50/3 (pow i 3))))
357.0ms
(- (log (* i (fma (fma i 50/3 50) i 100))) (log (/ i n)))
253.0ms
(/ (* (* (* i (fma (fma i 50/3 50) i 100)) (* i (fma (fma i 50/3 50) i 100))) (* i (fma (fma i 50/3 50) i 100))) (* (* (/ i n) (/ i n)) (/ i n)))
237.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
219.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))

prune644.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize15.0ms

Local error

Found 3 expressions with local error:

2.4b
(* n (fma i (fma 50/3 i 50) 100))
0.1b
(fma 50/3 i 50)
0.0b
(fma i (fma 50/3 i 50) 100)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity add-cube-cbrt fma-udef
3×expm1-log1p-u pow1 add-cbrt-cube associate-*r* add-exp-log insert-posit16 log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in *-commutative
Calls
3 calls:
Slowest
2.0ms
(* n (fma i (fma 50/3 i 50) 100))
0.0ms
(fma 50/3 i 50)
0.0ms
(fma i (fma 50/3 i 50) 100)

series56.0ms

Calls
3 calls:
Slowest
27.0ms
(* n (fma i (fma 50/3 i 50) 100))
15.0ms
(fma 50/3 i 50)
13.0ms
(fma i (fma 50/3 i 50) 100)

simplify1.1s

Calls
14 calls:
Slowest
286.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
267.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
239.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
80.0ms
(+ (* 50 i) (+ (* 50/3 (pow i 2)) 100))
71.0ms
(+ (* 50 i) (+ (* 50/3 (pow i 2)) 100))

prune454.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.5b

localize15.0ms

Local error

Found 4 expressions with local error:

10.5b
(log (fma i (fma 50/3 i 50) 100))
2.4b
(* n (exp (log (fma i (fma 50/3 i 50) 100))))
2.2b
(exp (log (fma i (fma 50/3 i 50) 100)))
0.1b
(fma 50/3 i 50)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt log-prod *-un-lft-identity add-cube-cbrt
6×pow1 associate-*r* exp-sum
5×add-exp-log
4×expm1-log1p-u exp-prod add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×log-pow
1×rem-log-exp *-commutative fma-udef rem-exp-log
Calls
4 calls:
Slowest
6.0ms
(* n (exp (log (fma i (fma 50/3 i 50) 100))))
4.0ms
(exp (log (fma i (fma 50/3 i 50) 100)))
2.0ms
(log (fma i (fma 50/3 i 50) 100))
0.0ms
(fma 50/3 i 50)

series98.0ms

Calls
4 calls:
Slowest
35.0ms
(* n (exp (log (fma i (fma 50/3 i 50) 100))))
34.0ms
(log (fma i (fma 50/3 i 50) 100))
16.0ms
(exp (log (fma i (fma 50/3 i 50) 100)))
13.0ms
(fma 50/3 i 50)

simplify2.0s

Calls
29 calls:
Slowest
252.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
245.0ms
(- (+ (log 50/3) (+ (* 3/2 (/ 1 (pow i 2))) (* 3 (/ 1 i)))) (* 2 (log (/ -1 i))))
223.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))
215.0ms
(- (+ (log 50/3) (+ (* 3/2 (/ 1 (pow i 2))) (* 3 (/ 1 i)))) (* 2 (log (/ 1 i))))
196.0ms
(+ (* 50/3 (* (pow i 2) n)) (+ (* 100 n) (* 50 (* i n))))

prune615.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.5b

regimes241.0ms

Accuracy

59% (11.2b remaining)

Error of 17.1b against oracle of 5.9b and baseline of 33.2b

bsearch722.0ms

end0.0ms

sample9.3s

Algorithm
intervals
Results
3.5s2508×body1280valid
2.8s980×body2560valid
1.5s1640×body640valid
446.0ms3098×body80valid
374.0ms818×body320valid
353.0ms2216×body80nan
146.0ms425×body160valid
37.0ms8×body5120valid