Details

Time bar (total: 54.5s)

sample74.0ms

Algorithm
intervals
Results
38.0ms379×body80valid
17.0ms151×body80nan

simplify357.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
356.0ms
(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize32.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
0.0b
(* (pow k m) a)
0.0b
(* k (+ k 10))
0.0b
(+ (* k (+ k 10)) 1)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
10×associate-*l*
7×associate-*r* prod-exp
6×pow1 add-log-exp
4×unpow-prod-down div-exp insert-posit16 unswap-sqr
3×associate-/r* flip3-+ times-frac cbrt-unprod flip-+
2×distribute-rgt-in pow-to-exp cbrt-undiv associate-+l+ distribute-lft-in pow-exp associate-*r/ associate-/r/ *-commutative sqr-pow
1×+-commutative clear-num sum-log frac-2neg pow-prod-down div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
Slowest
19.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
13.0ms
(* (pow k m) a)
12.0ms
(+ (* k (+ k 10)) 1)
12.0ms
(* k (+ k 10))

series413.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
164.0ms
(* (pow k m) a)
161.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
60.0ms
(* k (+ k 10))
27.0ms
(+ (* k (+ k 10)) 1)

simplify6.3s

Counts
66 → 102
Calls
66 calls:
Slowest
689.0ms
(* a (exp (* m (- (log -1) (log (/ -1 k))))))
555.0ms
(/ (* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a)) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
514.0ms
(/ (* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a)) (* (* (+ (* k (+ k 10)) 1) (+ (* k (+ k 10)) 1)) (+ (* k (+ k 10)) 1)))
423.0ms
(* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a))
333.0ms
(/ (pow k m) (sqrt (+ (* k (+ k 10)) 1)))

prune1.3s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
0.0b
(* (pow k m) a)
0.0b
(* k (+ k 10))
0.0b
(+ 1 (* k (+ k 10)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
13×*-un-lft-identity add-cbrt-cube
11×add-cube-cbrt
10×associate-*l*
7×associate-*r* prod-exp
6×pow1 add-log-exp
4×unpow-prod-down div-exp insert-posit16 unswap-sqr
3×associate-/r* flip3-+ times-frac cbrt-unprod flip-+
2×distribute-rgt-in pow-to-exp cbrt-undiv associate-+r+ distribute-lft-in pow-exp associate-*r/ associate-/r/ *-commutative sqr-pow
1×+-commutative clear-num sum-log frac-2neg pow-prod-down div-inv distribute-lft-out associate-/l*
Counts
4 → 90
Calls
4 calls:
Slowest
26.0ms
(* k (+ k 10))
24.0ms
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
22.0ms
(* (pow k m) a)
10.0ms
(+ 1 (* k (+ k 10)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(* (pow k m) a)
135.0ms
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
49.0ms
(* k (+ k 10))
21.0ms
(+ 1 (* k (+ k 10)))

simplify6.5s

Counts
66 → 102
Calls
66 calls:
Slowest
768.0ms
(* a (exp (* m (- (log -1) (log (/ -1 k))))))
567.0ms
(/ (* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a)) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
485.0ms
(/ (* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a)) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
373.0ms
(* (* (* (pow k m) (pow k m)) (pow k m)) (* (* a a) a))
365.0ms
(/ (pow k m) (sqrt (+ 1 (* k (+ k 10)))))

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

3.4b
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
0.2b
(sqrt (pow k m))
0.2b
(sqrt (pow k m))
0.0b
(* (sqrt (pow k m)) a)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
24×sqrt-prod
15×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
12×unpow-prod-down
10×associate-*l*
6×pow1 rem-sqrt-square sqr-pow
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×cbrt-undiv associate-/r* times-frac div-exp associate-*r*
2×sqrt-pow1 pow1/2 associate-/r/
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv associate-/l*
Counts
4 → 95
Calls
4 calls:
Slowest
26.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
18.0ms
(* (sqrt (pow k m)) a)
2.0ms
(sqrt (pow k m))
2.0ms
(sqrt (pow k m))

series492.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
182.0ms
(* (sqrt (pow k m)) a)
130.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
92.0ms
(sqrt (pow k m))
87.0ms
(sqrt (pow k m))

simplify10.8s

Counts
72 → 107
Calls
72 calls:
Slowest
712.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* a a) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
659.0ms
(/ (* (* (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (* (sqrt (pow k m)) (* (sqrt (pow k m)) a))) (* (sqrt (pow k m)) (* (sqrt (pow k m)) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
655.0ms
(* a (sqrt (exp (* m (- (log -1) (log (/ -1 k)))))))
654.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) a) (* (sqrt (pow k m)) a)) (* (sqrt (pow k m)) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
617.0ms
(sqrt (exp (* m (- (log -1) (log (/ -1 k))))))

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize464.0ms

Local error

Found 4 expressions with local error:

5.8b
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))
5.8b
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))
3.4b
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
3.4b
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
18×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity times-frac add-cube-cbrt
8×associate-/r/
6×pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod
4×flip3-+ flip-+ insert-posit16 div-inv add-log-exp
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div associate-/l*
Counts
4 → 94
Calls
4 calls:
Slowest
44.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
32.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
24.0ms
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))
12.0ms
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))

series989.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
370.0ms
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))
303.0ms
(sqrt (/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10)))))
170.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))
146.0ms
(/ (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (+ 1 (* k (+ k 10))))

simplify18.7s

Counts
72 → 106
Calls
72 calls:
Slowest
794.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* a a) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
757.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* a a) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
738.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) a) (* (sqrt (pow k m)) a)) (* (sqrt (pow k m)) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
718.0ms
(/ (* (* (* (sqrt (pow k m)) (* (sqrt (pow k m)) a)) (* (sqrt (pow k m)) (* (sqrt (pow k m)) a))) (* (sqrt (pow k m)) (* (sqrt (pow k m)) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
717.0ms
(/ (* (* (* (sqrt (pow k m)) (sqrt (pow k m))) (sqrt (pow k m))) (* (* (* (sqrt (pow k m)) a) (* (sqrt (pow k m)) a)) (* (sqrt (pow k m)) a))) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.3b

regimes202.0ms

Accuracy

98.7% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch129.0ms

end0.0ms

sample3.2s

Algorithm
intervals
Results
2.3s11824×body80valid
529.0ms4158×body80nan