Details

Time bar (total: 2.7s)

sample344.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
7.0ms258×body80nan

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0166
1196
2216
3216
done216

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite46.0ms

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×add-exp-log associate-/r* associate-/r/ add-cbrt-cube
3×pow1
2×rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/ add-log-exp
1×cbrt-undiv flip3-- frac-2neg sqrt-pow1 pow1/2 sqrt-div div-sub div-exp clear-num flip--
Counts
2 → 84
Calls
2 calls:
17.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
24.0ms
(/ (- 1.0 x) (+ 1.0 x))

series136.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(sqrt (/ (- 1.0 x) (+ 1.0 x)))
49.0ms
(/ (- 1.0 x) (+ 1.0 x))

simplify38.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0339678
11039645
25001626
done5001626

prune188.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
184×*-un-lft-identity
91×times-frac
79×add-sqr-sqrt
55×distribute-lft-out
51×associate-*l*
44×unpow-prod-down cube-prod
36×add-cube-cbrt
19×distribute-lft-out-- difference-of-squares
11×add-exp-log sum-cubes add-cbrt-cube
9×pow1 associate-/r*
6×flip3-+ flip-+ add-log-exp
5×sqrt-div associate-/l*
4×frac-times associate-*r/ associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-- sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×distribute-rgt-in sub-neg distribute-rgt-out-- frac-2neg distribute-lft-in pow1/2 diff-log div-sub clear-num sqrt-prod *-commutative
Counts
4 → 181
Calls
4 calls:
7.0ms
(- (* x x) (* 1.0 x))
45.0ms
(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
40.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
148.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

series303.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* x x) (* 1.0 x))
46.0ms
(/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3)))
129.0ms
(sqrt (* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x)))))
70.0ms
(* (/ (- 1.0 x) (+ (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (- (* x x) (* 1.0 x))))

simplify104.0ms

Counts
193 → 193
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
08332042
136421921
250031909
done50031909

prune472.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02314
12314
done2314

end0.0ms

sample789.0ms

Algorithm
intervals
Results
313.0ms8000×body80valid
207.0ms8048×body80nan