Details

Time bar (total: 10.2s)

sample10.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
275
done75

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
12.0ms
(/ x (- 1.0 x))

series44.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(/ x (- 1.0 x))

simplify2.4s

Counts
42 → 42
Iterations

Useful iterations: done (2.4s)

IterNodesCost
084436
1174410
2404387
3847384
42008382
done5001378

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1 (- (/ 1.0 x) 1))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
42×times-frac
32×*-un-lft-identity
16×add-cube-cbrt difference-of-squares
10×associate-/r*
8×difference-of-sqr-1
5×add-exp-log
4×distribute-lft-out--
3×add-cbrt-cube associate-/l*
2×pow1 div-exp associate-/r/
1×cbrt-undiv expm1-log1p-u rec-exp flip3-- pow-flip frac-2neg 1-exp clear-num flip-- log1p-expm1-u div-inv inv-pow add-log-exp
Counts
1 → 63
Calls
1 calls:
53.0ms
(/ 1 (- (/ 1.0 x) 1))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ 1 (- (/ 1.0 x) 1))

simplify4.5s

Counts
66 → 66
Iterations

Useful iterations: done (4.4s)

IterNodesCost
0111908
1218776
2405747
3863744
42192742
done5000738

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (- (pow (/ 1.0 x) 3) 1))
0.3b
(* (/ 1.0 x) (/ 1.0 x))
0.3b
(pow (/ 1.0 x) 3)
22.1b
(* (/ 1 (- (pow (/ 1.0 x) 3) 1)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1 1) (* (/ 1.0 x) 1))))

rewrite584.0ms

Algorithm
rewrite-expression-head
Rules
309×add-sqr-sqrt
234×times-frac
158×*-un-lft-identity
101×add-cube-cbrt
85×associate-*l*
84×difference-of-squares
55×unpow-prod-down cube-prod
42×difference-of-sqr-1
32×add-exp-log
26×add-cbrt-cube
22×associate-/r* sqr-pow
16×associate-*r*
15×pow1
13×frac-times associate-*r/ swap-sqr
12×frac-add
9×div-exp
8×flip3-+ prod-exp flip-+ div-inv
7×cbrt-undiv distribute-lft-out-- unswap-sqr
6×associate-*l/ cbrt-unprod
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow-unpow associate-/l*
2×rec-exp flip3-- 1-exp pow-prod-down pow-exp *-commutative flip-- rem-cube-cbrt
1×cube-div pow2 distribute-rgt-in cube-mult pow-to-exp pow-flip pow-pow frac-2neg distribute-lft-in pow-plus unpow3 clear-num pow-sqr pow-prod-up inv-pow
Counts
4 → 342
Calls
4 calls:
100.0ms
(/ 1 (- (pow (/ 1.0 x) 3) 1))
27.0ms
(* (/ 1.0 x) (/ 1.0 x))
7.0ms
(pow (/ 1.0 x) 3)
431.0ms
(* (/ 1 (- (pow (/ 1.0 x) 3) 1)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1 1) (* (/ 1.0 x) 1))))

series256.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ 1 (- (pow (/ 1.0 x) 3) 1))
32.0ms
(* (/ 1.0 x) (/ 1.0 x))
68.0ms
(pow (/ 1.0 x) 3)
87.0ms
(* (/ 1 (- (pow (/ 1.0 x) 3) 1)) (+ (* (/ 1.0 x) (/ 1.0 x)) (+ (* 1 1) (* (/ 1.0 x) 1))))

simplify1.2s

Counts
354 → 354
Iterations

Useful iterations: done (1.2s)

IterNodesCost
04337623
114895839
done50005388

prune870.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes1.0ms