Details

Time bar (total: 10.2s)

sample121.0ms

Algorithm
intervals
Results
36.0ms862×body80nan
16.0ms256×body80valid

simplify54.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
187
297
done97

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1.0 x) 1.0)
0.2b
(log (- (/ 1.0 x) 1.0))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
7×*-un-lft-identity
6×log-prod
4×add-log-exp difference-of-squares
3×pow1 add-exp-log add-cube-cbrt
2×log-div flip3-- times-frac add-cbrt-cube flip-- distribute-lft-out--
1×sub-neg diff-log rem-log-exp log-pow
Counts
2 → 32
Calls
2 calls:
36.0ms
(- (/ 1.0 x) 1.0)
29.0ms
(log (- (/ 1.0 x) 1.0))

series175.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (/ 1.0 x) 1.0)
105.0ms
(log (- (/ 1.0 x) 1.0))

simplify2.7s

Counts
38 → 38
Iterations

Useful iterations: done (2.7s)

IterNodesCost
082433
1163422
2353383
3850379
42455373
done5000369

prune123.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
0.0b
(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
0.3b
(/ (sqrt 1.0) (sqrt x))
0.3b
(/ (sqrt 1.0) (sqrt x))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
110×sqrt-prod
88×times-frac
73×*-un-lft-identity
63×add-cube-cbrt
32×log-prod
20×difference-of-squares
14×associate-+r+
12×associate-/r* associate-/l*
9×pow1 add-exp-log
8×add-cbrt-cube
6×log-div
5×log-pow distribute-lft-out
4×associate-+l+ add-log-exp
2×cbrt-undiv associate-+l- associate-+r- sqrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv distribute-lft-out--
1×+-commutative rem-log-exp sum-log
Counts
4 → 184
Calls
4 calls:
89.0ms
(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
61.0ms
(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
8.0ms
(/ (sqrt 1.0) (sqrt x))
8.0ms
(/ (sqrt 1.0) (sqrt x))

series909.0ms

Counts
4 → 12
Calls
4 calls:
517.0ms
(+ (log (+ (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))) (log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0))))
200.0ms
(log (- (/ (sqrt 1.0) (sqrt x)) (sqrt 1.0)))
110.0ms
(/ (sqrt 1.0) (sqrt x))
81.0ms
(/ (sqrt 1.0) (sqrt x))

simplify2.1s

Counts
196 → 196
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02093070
14242753
29332443
322412419
done50002409

prune680.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
0.4b
(sqrt (/ 1.0 x))
0.4b
(sqrt (/ 1.0 x))
0.5b
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×sqrt-prod
28×*-un-lft-identity
22×times-frac
20×add-cube-cbrt
11×pow1 associate-*r*
9×add-exp-log
8×frac-times log-div
6×flip3-- flip3-+ add-cbrt-cube flip-- flip-+ difference-of-squares
5×associate-*l*
4×rem-sqrt-square associate-*r/ associate-*l/ add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 pow1/2 sqrt-div rem-log-exp pow-prod-down prod-exp log-pow div-inv distribute-lft-out distribute-lft-out--
1×log-prod *-commutative cbrt-unprod unswap-sqr
Counts
4 → 110
Calls
4 calls:
73.0ms
(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
4.0ms
(sqrt (/ 1.0 x))
4.0ms
(sqrt (/ 1.0 x))
230.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

series956.0ms

Counts
4 → 12
Calls
4 calls:
510.0ms
(log (* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0))))
90.0ms
(sqrt (/ 1.0 x))
73.0ms
(sqrt (/ 1.0 x))
282.0ms
(* (+ (sqrt (/ 1.0 x)) (sqrt 1.0)) (- (sqrt (/ 1.0 x)) (sqrt 1.0)))

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02232272
15341644
217671520
done50001505

prune478.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms