Details

Time bar (total: 6.0s)

sample73.0ms

Algorithm
intervals
Results
40.0ms714×body80nan
12.0ms256×body80valid

simplify3.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (* x x))
0.0b
(/ (sqrt (- 1.0 (* x x))) x)
0.0b
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
0.0b
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
33×times-frac
30×add-sqr-sqrt
25×add-cube-cbrt
16×sqrt-prod
8×log-prod distribute-lft-out add-log-exp
7×add-exp-log associate-/l*
6×add-cbrt-cube
5×pow1 div-inv difference-of-squares
3×log-div associate-/r*
2×distribute-rgt-out flip3-- flip3-+ sqrt-div frac-add flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-exp rem-log-exp clear-num sum-log log-pow
Counts
4 → 95
Calls
4 calls:
5.0ms
(- 1.0 (* x x))
13.0ms
(/ (sqrt (- 1.0 (* x x))) x)
38.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
39.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

series567.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- 1.0 (* x x))
131.0ms
(/ (sqrt (- 1.0 (* x x))) x)
290.0ms
(log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))
106.0ms
(+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))

simplify45.0ms

Counts
107 → 107

prune280.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.5b
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.5b
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
0.5b
(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
211×cbrt-prod
191×add-sqr-sqrt
175×times-frac
110×add-cube-cbrt *-un-lft-identity
98×sqrt-prod
34×swap-sqr
28×associate-*r* associate-*l*
21×difference-of-squares
16×unswap-sqr
11×pow1
9×pow1/3
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 229
Calls
4 calls:
6.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
6.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
62.0ms
(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

series1.2s

Counts
4 → 12
Calls
4 calls:
302.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
302.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
307.0ms
(cbrt (/ (sqrt (- 1.0 (* x x))) x))
270.0ms
(* (cbrt (/ (sqrt (- 1.0 (* x x))) x)) (cbrt (/ (sqrt (- 1.0 (* x x))) x)))

simplify84.0ms

Counts
241 → 241

prune847.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.6s24392×body80nan
435.0ms8000×body80valid