Details

Time bar (total: 13.4s)

sample28.0ms

Algorithm
intervals
Results
12.0ms335×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
26511
317911
450811
5124011
6339711
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 x) (- 3.0 x))
7.7b
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
8×frac-times associate-/l/
5×associate-*r* associate-*l* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp associate-*l/
2×expm1-log1p-u sub-neg log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 85
Calls
2 calls:
68.0ms
(* (- 1.0 x) (- 3.0 x))
37.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

series106.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* (- 1.0 x) (- 3.0 x))
70.0ms
(/ (* (- 1.0 x) (- 3.0 x)) (* y 3.0))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01881602
14911390
222331157
done50021133

prune275.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ (- 1.0 x) y)
0.1b
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
69×*-un-lft-identity
64×times-frac
41×add-cube-cbrt
19×add-exp-log associate-*r* associate-*l* add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
10×associate-/l*
6×cbrt-undiv div-exp associate-/r*
5×pow1
4×prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-- frac-2neg div-sub clear-num flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 144
Calls
3 calls:
31.0ms
(/ (- 3.0 x) 3.0)
31.0ms
(/ (- 1.0 x) y)
73.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

series188.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (- 3.0 x) 3.0)
55.0ms
(/ (- 1.0 x) y)
68.0ms
(* (/ (- 1.0 x) y) (/ (- 3.0 x) 3.0))

simplify1.5s

Counts
153 → 153
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02081863
15581794
218121623
done50001621

prune378.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 3.0 x) 3.0)
0.0b
(/ y (- 1.0 x))
0.1b
(/ 1 (/ y (- 1.0 x)))
0.1b
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
293×times-frac
237×add-sqr-sqrt
208×*-un-lft-identity
140×add-cube-cbrt
68×associate-*l*
64×add-exp-log
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
30×div-exp
29×associate-/r*
19×associate-*r*
18×associate-/r/
14×cbrt-undiv prod-exp
12×div-inv
11×associate-/l*
10×unswap-sqr
9×flip3-- flip--
7×pow1
6×rec-exp 1-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg clear-num
2×associate-/l/
1×frac-times pow-flip div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 320
Calls
4 calls:
18.0ms
(/ (- 3.0 x) 3.0)
12.0ms
(/ y (- 1.0 x))
19.0ms
(/ 1 (/ y (- 1.0 x)))
125.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

series264.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (- 3.0 x) 3.0)
60.0ms
(/ y (- 1.0 x))
50.0ms
(/ 1 (/ y (- 1.0 x)))
78.0ms
(* (/ 1 (/ y (- 1.0 x))) (/ (- 3.0 x) 3.0))

simplify1.7s

Counts
332 → 332
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04134943
111034250
231383769
done50013763

prune861.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
0.2b
(/ (* y 3.0) (- 3.0 x))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
68×add-sqr-sqrt *-un-lft-identity
28×add-cube-cbrt
20×distribute-lft-out-- difference-of-squares
16×add-exp-log associate-/r* add-cbrt-cube
15×associate-/r/
8×flip3-- flip-- div-inv
7×cbrt-undiv div-exp
6×associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 122
Calls
2 calls:
41.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
36.0ms
(/ (* y 3.0) (- 3.0 x))

series104.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- 1.0 x) (/ (* y 3.0) (- 3.0 x)))
45.0ms
(/ (* y 3.0) (- 3.0 x))

simplify1.6s

Counts
128 → 128
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02312286
16312196
223692060
done50002038

prune379.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.0ms