Details

Time bar (total: 36.3s)

sample88.0ms

Algorithm
intervals
Results
39.0ms257×body80nan
32.0ms256×body80valid

simplify162.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
162.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×*-un-lft-identity add-cbrt-cube add-exp-log
22×times-frac add-cube-cbrt
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×insert-posit16 add-log-exp
3×*-commutative
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 133
Calls
4 calls:
Slowest
43.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
41.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
25.0ms
(* 3 (* v v))
7.0ms
(sqrt (- 1 (* 3 (* v v))))

series749.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
358.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
241.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
97.0ms
(sqrt (- 1 (* 3 (* v v))))
53.0ms
(* 3 (* v v))

simplify17.4s

Counts
125 → 145
Calls
125 calls:
Slowest
750.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
611.0ms
(* (sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v)))))) (+ (* 1 1) (+ (* (* v v) (* v v)) (* 1 (* v v)))))
481.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))
440.0ms
(* (sqrt 2) (sqrt (- (pow 1 3) (pow (* 3 (* v v)) 3))))
425.0ms
(* (* (sqrt 2) (sqrt (- 1 (* 3 (* v v))))) (- (pow 1 3) (pow (* v v) 3)))

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
0.2b
(* 3 (* v v))
0.2b
(* 3 (* v v))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
29×associate-*l*
28×add-cbrt-cube add-exp-log
22×*-un-lft-identity times-frac add-cube-cbrt
21×pow1
17×sqrt-prod
14×associate-*r*
13×prod-exp cbrt-unprod
10×pow-prod-down
8×sqrt-div unswap-sqr
7×associate-*l/
4×frac-times flip3-- associate-*r/ *-commutative insert-posit16 flip-- add-log-exp
2×cbrt-undiv div-exp
1×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in distribute-rgt-neg-out div-inv
Counts
4 → 123
Calls
4 calls:
Slowest
55.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
29.0ms
(* 3 (* v v))
27.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
26.0ms
(* 3 (* v v))

series558.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
251.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
240.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- (* v v)))
35.0ms
(* 3 (* v v))
31.0ms
(* 3 (* v v))

simplify10.8s

Counts
102 → 135
Calls
102 calls:
Slowest
714.0ms
(* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v))))))
489.0ms
(* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (* (* (sqrt (- 1 (* 3 (* v v)))) (sqrt (- 1 (* 3 (* v v))))) (sqrt (- 1 (* 3 (* v v)))))) (* (* (- (* v v)) (- (* v v))) (- (* v v))))
463.0ms
(+ (+ (- (log (sqrt 2)) (log 4)) (log (sqrt (- 1 (* 3 (* v v)))))) (log (- (* v v))))
451.0ms
(sqrt (+ (* 1 1) (+ (* (* 3 (* v v)) (* 3 (* v v))) (* 1 (* 3 (* v v))))))
438.0ms
(* (sqrt 2) (sqrt (- (* 1 1) (* (* 3 (* v v)) (* 3 (* v v))))))

prune1.7s

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s8000×body80valid
1.3s7762×body80nan