Details

Time bar (total: 2.4s)

sample10.0ms

Algorithm
intervals
Results
4.0ms335×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
155
done55

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ (* x x) 1.0)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x x) 1.0)

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(+ (* x x) 1.0)

simplify1.8s

Counts
14 → 14
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
028124
182121
2267101
3469101
4967101
52381101
done5001101

prune22.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

8.9b
(/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
24×times-frac
22×difference-of-squares
13×add-cube-cbrt *-un-lft-identity
6×associate-/l*
5×unpow-prod-down sqr-pow
4×associate-/r*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 51
Calls
1 calls:
23.0ms
(/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))

series128.0ms

Counts
1 → 3
Calls
1 calls:
128.0ms
(/ (- (pow x 4) (* 1.0 1.0)) (- (* x x) 1.0))

simplify314.0ms

Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
01261143
13131102
28831044