Details

Time bar (total: 5.2m)

sample84.0ms

Algorithm
intervals
Results
48.0ms388×body80valid
16.0ms131×body80nan

simplify273.0ms

Calls
1 calls:
Slowest
273.0ms
(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize37.0ms

Local error

Found 3 expressions with local error:

1.8b
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
0.0b
(* (pow k m) a)
0.0b
(* k (+ k 10))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
129×*-un-lft-identity
90×times-frac
88×add-sqr-sqrt
71×associate-*l*
51×add-cube-cbrt
39×distribute-lft-out
28×unpow-prod-down
25×associate-*r*
22×unswap-sqr
20×add-exp-log
18×associate-/l*
14×sqr-pow
12×add-cbrt-cube
8×*-commutative
7×pow1 prod-exp
5×associate-/r*
4×div-exp
3×cbrt-unprod insert-posit16 add-log-exp
2×distribute-rgt-in pow-to-exp cbrt-undiv +-commutative distribute-lft-in flip3-+ pow-prod-down pow-exp associate-*r/ associate-/r/ flip-+
1×clear-num frac-2neg div-inv
Calls
3 calls:
Slowest
114.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
15.0ms
(* k (+ k 10))
11.0ms
(* (pow k m) a)

series321.0ms

Calls
3 calls:
Slowest
142.0ms
(* (pow k m) a)
119.0ms
(/ (* (pow k m) a) (+ (* k (+ k 10)) 1))
60.0ms
(* k (+ k 10))

simplify51.4s

Calls
253 calls:
Slowest
1.1s
(/ (cbrt (* (pow k m) a)) (+ (* k (+ k 10)) 1))
688.0ms
(/ (* (cbrt (* (pow k m) a)) (cbrt (* (pow k m) a))) (sqrt (+ (* k (+ k 10)) 1)))
684.0ms
(* a (exp (* m (- (log -1) (log (/ -1 k))))))
666.0ms
(/ (* (pow k m) (* (cbrt a) (cbrt a))) 1)
649.0ms
(/ (* (pow k m) (* (cbrt a) (cbrt a))) 1)

prune1.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

1.8b
(/ (* (pow k m) a) (+ (+ (* k k) (* k 10)) 1))
0.0b
(+ (* k k) (* k 10))
0.0b
(* (pow k m) a)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
338×*-un-lft-identity
180×distribute-lft-out
154×associate-*l*
144×times-frac
113×add-sqr-sqrt
63×add-cube-cbrt
40×unpow-prod-down
33×associate-*r*
30×unswap-sqr
20×sqr-pow
18×add-exp-log associate-/l*
15×*-commutative
10×add-cbrt-cube
8×associate-/r*
6×prod-exp
5×pow1 add-log-exp
4×div-exp
3×distribute-rgt-out insert-posit16
2×pow-to-exp cbrt-undiv flip3-+ pow-exp associate-/r/ cbrt-unprod flip-+
1×+-commutative clear-num sum-log frac-2neg pow-prod-down div-inv
Calls
3 calls:
Slowest
183.0ms
(/ (* (pow k m) a) (+ (+ (* k k) (* k 10)) 1))
36.0ms
(+ (* k k) (* k 10))
12.0ms
(* (pow k m) a)

series356.0ms

Calls
3 calls:
Slowest
139.0ms
(/ (* (pow k m) a) (+ (+ (* k k) (* k 10)) 1))
119.0ms
(* (pow k m) a)
98.0ms
(+ (* k k) (* k 10))

simplify1.3m

Calls
363 calls:
Slowest
1.2s
(/ (cbrt (* (pow k m) a)) (+ (+ (* k k) (* k 10)) 1))
945.0ms
(/ (* (cbrt (pow k m)) a) (cbrt (+ (+ (* k k) (* k 10)) 1)))
792.0ms
(* a (exp (* m (- (log -1) (log (/ -1 k))))))
730.0ms
(/ (* (pow k m) (* (cbrt a) (cbrt a))) 1)
690.0ms
(/ (* (pow k m) (* (cbrt a) (cbrt a))) 1)

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))
0.2b
(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
0.0b
(* (pow k m) a)
0.0b
(* k (+ k 10))

rewrite539.0ms

Algorithm
rewrite-expression-head
Rules
732×times-frac
683×*-un-lft-identity
450×add-sqr-sqrt
308×add-cube-cbrt
292×associate-*l*
187×distribute-lft-out
130×associate-/r*
112×unpow-prod-down
88×associate-*r*
85×unswap-sqr
59×add-exp-log
56×sqr-pow
29×*-commutative
28×associate-/r/
26×div-exp
22×add-cbrt-cube
16×prod-exp associate-/l*
9×pow1
7×cbrt-undiv
6×div-inv
5×pow-to-exp rec-exp 1-exp pow-exp
4×clear-num cbrt-unprod insert-posit16 remove-double-div add-log-exp associate-/l/
3×frac-2neg flip3-+ flip-+
2×distribute-rgt-in +-commutative distribute-lft-in pow-prod-down associate-*r/
1×pow-flip inv-pow
Calls
4 calls:
Slowest
243.0ms
(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
242.0ms
(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))
14.0ms
(* k (+ k 10))
13.0ms
(* (pow k m) a)

series477.0ms

Calls
4 calls:
Slowest
156.0ms
(/ (+ (* k (+ k 10)) 1) (* (pow k m) a))
156.0ms
(* (pow k m) a)
121.0ms
(/ 1 (/ (+ (* k (+ k 10)) 1) (* (pow k m) a)))
45.0ms
(* k (+ k 10))

simplify2.8m

Calls
958 calls:
Slowest
838.0ms
(+ (pow (* k (+ k 10)) 3) (pow 1 3))
762.0ms
(/ (sqrt 1) (/ (+ (* k (+ k 10)) 1) (* (pow (sqrt k) m) a)))
760.0ms
(/ (* (cbrt 1) (cbrt 1)) (/ 1 (pow (sqrt k) m)))
709.0ms
(/ 1 (* (pow (sqrt k) m) (sqrt a)))
694.0ms
(/ 1 (* (pow (sqrt k) m) (sqrt a)))

prune4.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

17.5b
(sqrt (+ (* k (+ k 10)) 1))
17.5b
(sqrt (+ (* k (+ k 10)) 1))
0.3b
(/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a))
0.0b
(/ (/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a)) (/ (sqrt (+ (* k (+ k 10)) 1)) (pow k m)))

rewrite1.3s

Algorithm
rewrite-expression-head
Rules
21840×times-frac
13527×*-un-lft-identity
8072×add-sqr-sqrt
8070×add-cube-cbrt
6820×sqrt-prod
2728×distribute-lft-out
2523×unpow-prod-down
1364×associate-*l*
1012×associate-/r/
841×sqr-pow
615×associate-/l*
356×div-inv
309×associate-/r*
160×associate-/l/
130×sqrt-div
105×add-exp-log
84×div-exp
67×clear-num
66×frac-2neg
65×flip3-+ flip-+
30×add-cbrt-cube
18×cbrt-undiv
10×rec-exp 1-exp
7×pow-to-exp pow1 pow-exp
4×insert-posit16 add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 remove-double-div
1×pow-flip inv-pow
Calls
4 calls:
Slowest
329.0ms
(/ (/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a)) (/ (sqrt (+ (* k (+ k 10)) 1)) (pow k m)))
130.0ms
(/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a))
63.0ms
(sqrt (+ (* k (+ k 10)) 1))
60.0ms
(sqrt (+ (* k (+ k 10)) 1))

series220.0ms

Calls
4 calls:
Slowest
95.0ms
(/ (/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a)) (/ (sqrt (+ (* k (+ k 10)) 1)) (pow k m)))
58.0ms
(/ 1 (/ (sqrt (+ (* k (+ k 10)) 1)) a))
39.0ms
(sqrt (+ (* k (+ k 10)) 1))
28.0ms
(sqrt (+ (* k (+ k 10)) 1))