Details

Time bar (total: 7.0s)

sample92.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
12.0ms226×body80nan

simplify26.0ms

Counts
1 → 1
Iterations
IterNodes
done21
321
219
116
09

prune42.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
44×add-sqr-sqrt
41×times-frac
26×sqrt-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×associate-/r* add-cbrt-cube add-exp-log associate-/r/
3×pow1
2×rem-sqrt-square flip3-+ flip-+ div-inv add-log-exp associate-/l/
1×cbrt-undiv clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 sqrt-div div-sub div-exp flip--
Counts
2 → 84
Calls
2 calls:
14.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
19.0ms
(/ (- 1.0 x) (+ 1.0 x))

series207.0ms

Counts
2 → 6
Calls
2 calls:
141.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
65.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify706.0ms

Counts
90 → 90
Iterations
IterNodes
done5001
21237
1333
0150

prune410.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
0.0b
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
0.0b
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
91×times-frac
78×add-sqr-sqrt
55×distribute-lft-out
51×associate-*l*
44×unpow-prod-down cube-prod
35×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
11×sum-cubes
10×add-cbrt-cube add-exp-log
9×associate-/r*
8×pow1
6×flip3-+ flip-+
5×sqrt-div associate-/l*
4×frac-times associate-*r/ associate-/r/
3×associate-*r* add-log-exp
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in flip3-- pow1/2 div-sub *-commutative sqrt-prod flip--
Counts
3 → 168
Calls
3 calls:
53.0ms
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
48.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
191.0ms
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series353.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3)))
190.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
96.0ms
(* (/ (- 1.0 x) (+ (pow x 3) (pow 1.0 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify2.0s

Counts
177 → 177
Iterations
IterNodes
done5001
23990
1792
0234

prune871.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify4.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample2.0s

Algorithm
intervals
Results
815.0ms7970×body80nan
735.0ms8000×body80valid