Details

Time bar (total: 1.4m)

sample332.0ms

Algorithm
intervals
Results
129.0ms87×body1280valid
86.0ms26×body2560valid
64.0ms63×body640valid
11.0ms84×body80valid
10.0ms20×body320valid
9.0ms81×body80nan
4.0ms16×body160valid
4.0ms1×body5120valid

simplify177.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
177.0ms
(* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)))

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.3b

localize15.0ms

Local error

Found 3 expressions with local error:

8.7b
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))
5.5b
(pow (+ 1 (/ i n)) n)
2.1b
(fma 100 (pow (+ 1 (/ i n)) n) -100)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
49×*-un-lft-identity
47×add-sqr-sqrt add-cube-cbrt
13×associate-/r*
9×add-exp-log
8×add-cbrt-cube
5×div-inv
4×pow1 unpow-prod-down
3×expm1-log1p-u cbrt-undiv pow-unpow div-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp
1×pow-to-exp clear-num pow-pow frac-2neg pow-exp associate-/r/ fma-udef distribute-lft-out sqr-pow
Counts
3 → 105
Calls
3 calls:
Slowest
12.0ms
(pow (+ 1 (/ i n)) n)
6.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))
0.0ms
(fma 100 (pow (+ 1 (/ i n)) n) -100)

series1.1s

Counts
3 → 9
Calls
3 calls:
Slowest
431.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ i n))
409.0ms
(pow (+ 1 (/ i n)) n)
306.0ms
(fma 100 (pow (+ 1 (/ i n)) n) -100)

simplify37.3s

Counts
114 → 114
Calls
114 calls:
Slowest
908.0ms
(/ (sqrt (fma 100 (pow (+ 1 (/ i n)) n) -100)) (/ (cbrt i) (cbrt n)))
770.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ (cbrt i) (cbrt n)))
756.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ (sqrt i) (cbrt n)))
748.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ (cbrt i) (sqrt n)))
636.0ms
(/ (fma 100 (pow (+ 1 (/ i n)) n) -100) (/ (sqrt i) (sqrt n)))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.9b

localize30.0ms

Local error

Found 4 expressions with local error:

15.1b
(/ (* (fma i (fma i 50/3 50) 100) i) (/ i n))
0.2b
(fma i 50/3 50)
0.1b
(* (fma i (fma i 50/3 50) 100) i)
0.0b
(fma i (fma i 50/3 50) 100)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×add-cbrt-cube add-exp-log
13×associate-/r*
6×pow1 cbrt-undiv div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×fma-udef
1×clear-num frac-2neg pow-prod-down associate-/r/ *-commutative associate-/l* unswap-sqr
Counts
4 → 92
Calls
4 calls:
Slowest
19.0ms
(/ (* (fma i (fma i 50/3 50) 100) i) (/ i n))
5.0ms
(* (fma i (fma i 50/3 50) 100) i)
0.0ms
(fma i (fma i 50/3 50) 100)
0.0ms
(fma i 50/3 50)

series165.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
51.0ms
(fma i 50/3 50)
47.0ms
(/ (* (fma i (fma i 50/3 50) 100) i) (/ i n))
40.0ms
(* (fma i (fma i 50/3 50) 100) i)
27.0ms
(fma i (fma i 50/3 50) 100)

simplify8.7s

Counts
69 → 104
Calls
69 calls:
Slowest
922.0ms
(* (* (* (fma i (fma i 50/3 50) 100) (fma i (fma i 50/3 50) 100)) (fma i (fma i 50/3 50) 100)) (* (* i i) i))
627.0ms
(- (log (* (fma i (fma i 50/3 50) 100) i)) (log (/ i n)))
513.0ms
(/ (* (* (* (fma i (fma i 50/3 50) 100) i) (* (fma i (fma i 50/3 50) 100) i)) (* (fma i (fma i 50/3 50) 100) i)) (/ (* (* i i) i) (* (* n n) n)))
432.0ms
(- (+ (log (fma i (fma i 50/3 50) 100)) (log i)) (- (log i) (log n)))
432.0ms
(/ (* (* (* (fma i (fma i 50/3 50) 100) (fma i (fma i 50/3 50) 100)) (fma i (fma i 50/3 50) 100)) (* (* i i) i)) (/ (* (* i i) i) (* (* n n) n)))

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize16.0ms

Local error

Found 4 expressions with local error:

10.8b
(/ (fma i (fma i 50/3 50) 100) i)
7.8b
(* (/ (fma i (fma i 50/3 50) 100) i) (* i n))
0.2b
(fma i 50/3 50)
0.0b
(fma i (fma i 50/3 50) 100)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac add-cbrt-cube add-exp-log
13×associate-*l*
9×pow1
6×prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* div-exp pow-prod-down associate-/l*
2×fma-udef div-inv
1×clear-num frac-2neg associate-*r* associate-*l/ *-commutative
Counts
4 → 88
Calls
4 calls:
Slowest
24.0ms
(* (/ (fma i (fma i 50/3 50) 100) i) (* i n))
4.0ms
(/ (fma i (fma i 50/3 50) 100) i)
0.0ms
(fma i 50/3 50)
0.0ms
(fma i (fma i 50/3 50) 100)

series197.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
56.0ms
(/ (fma i (fma i 50/3 50) 100) i)
55.0ms
(* (/ (fma i (fma i 50/3 50) 100) i) (* i n))
48.0ms
(fma i 50/3 50)
38.0ms
(fma i (fma i 50/3 50) 100)

simplify6.6s

Counts
59 → 100
Calls
59 calls:
Slowest
435.0ms
(+ (log (/ (fma i (fma i 50/3 50) 100) i)) (log (* i n)))
406.0ms
(+ (- (log (fma i (fma i 50/3 50) 100)) (log i)) (+ (log i) (log n)))
368.0ms
(+ (- (log (fma i (fma i 50/3 50) 100)) (log i)) (log (* i n)))
338.0ms
(/ (* (* (fma i (fma i 50/3 50) 100) (fma i (fma i 50/3 50) 100)) (fma i (fma i 50/3 50) 100)) (* (* i i) i))
318.0ms
(+ (log (/ (fma i (fma i 50/3 50) 100) i)) (+ (log i) (log n)))

prune985.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 6.0b

localize31.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (fma i (fma i 50/3 50) 100))
11.7b
(cbrt (fma i (fma i 50/3 50) 100))
11.7b
(cbrt (fma i (fma i 50/3 50) 100))
7.7b
(* (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (* i n))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
40×times-frac
33×add-cbrt-cube
27×associate-*l*
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×prod-exp cbrt-unprod
18×cbrt-prod
12×cbrt-undiv div-exp
9×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×div-inv
1×associate-*r* associate-*l/ associate-/r/ *-commutative
Counts
4 → 104
Calls
4 calls:
Slowest
43.0ms
(* (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (* i n))
1.0ms
(cbrt (fma i (fma i 50/3 50) 100))
1.0ms
(cbrt (fma i (fma i 50/3 50) 100))
1.0ms
(cbrt (fma i (fma i 50/3 50) 100))

series364.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
113.0ms
(cbrt (fma i (fma i 50/3 50) 100))
93.0ms
(cbrt (fma i (fma i 50/3 50) 100))
87.0ms
(cbrt (fma i (fma i 50/3 50) 100))
69.0ms
(* (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (* i n))

simplify15.0s

Counts
70 → 116
Calls
70 calls:
Slowest
786.0ms
(* (/ (* (* (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (* (* (/ i (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (/ i (cbrt (fma i (fma i 50/3 50) 100))))) (* (* (* i n) (* i n)) (* i n)))
691.0ms
(* (/ (* (* (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (* (* (/ i (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (/ i (cbrt (fma i (fma i 50/3 50) 100))))) (* (* (* i i) i) (* (* n n) n)))
522.0ms
(* (/ (* (* (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100)))) (/ (* (* i i) i) (fma i (fma i 50/3 50) 100))) (* (* (* i n) (* i n)) (* i n)))
509.0ms
(* (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (* i n))
464.0ms
(* (* (* (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100)))) (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100))))) (/ (* (cbrt (fma i (fma i 50/3 50) 100)) (cbrt (fma i (fma i 50/3 50) 100))) (/ i (cbrt (fma i (fma i 50/3 50) 100))))) (* (* (* i n) (* i n)) (* i n)))

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.0b

regimes253.0ms

Accuracy

64.3% (9.5b remaining)

Error of 15.3b against oracle of 5.8b and baseline of 32.6b

bsearch373.0ms

end0.0ms

sample10.8s

Algorithm
intervals
Results
4.0s954×body2560valid
3.7s2447×body1280valid
1.3s1616×body640valid
496.0ms3004×body80valid
467.0ms963×body320valid
341.0ms2243×body80nan
155.0ms447×body160valid
58.0ms12×body5120valid