Details

Time bar (total: 15.8s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

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 (+ x y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg flip3-+ div-exp clear-num flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
12.0ms
(/ x (+ x y))

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ x (+ x y))

simplify3.9s

Counts
38 → 38
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
061336
1122317
2286299
3587299
41573299
done5000299

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x y))
0.1b
(* x (/ 1 (+ x y)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×div-exp prod-exp associate-/r* associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u rec-exp flip3-+ 1-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 82
Calls
2 calls:
20.0ms
(/ 1 (+ x y))
40.0ms
(* x (/ 1 (+ x y)))

series97.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ 1 (+ x y))
46.0ms
(* x (/ 1 (+ x y)))

simplify3.5s

Counts
88 → 88
Iterations

Useful iterations: 2 (128.0ms)

IterNodesCost
099783
1225603
2464541
3952541
42095541
done5000541

prune156.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) x)
0.5b
(/ 1 (/ (+ x y) x))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
15×add-exp-log
9×add-cbrt-cube
8×div-exp
7×associate-/l*
6×div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 125
Calls
2 calls:
44.0ms
(/ (+ x y) x)
20.0ms
(/ 1 (/ (+ x y) x))

series107.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) x)
74.0ms
(/ 1 (/ (+ x y) x))

simplify4.3s

Counts
131 → 131
Iterations

Useful iterations: done (4.3s)

IterNodesCost
01601662
13391374
26641203
313771179
426221179
done50001178

prune205.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.1b
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
7.5b
(sqrt (/ x (+ x y)))
7.5b
(sqrt (/ x (+ x y)))

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
134×sqrt-prod
131×*-un-lft-identity
104×times-frac
103×add-sqr-sqrt
69×add-cube-cbrt
29×swap-sqr
28×distribute-lft-out
21×pow1 associate-*r* associate-*l*
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+ div-inv
6×sqrt-div
5×pow-prod-up
4×expm1-log1p-u rem-sqrt-square associate-/r* log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 209
Calls
4 calls:
23.0ms
(/ x (+ x y))
109.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
11.0ms
(sqrt (/ x (+ x y)))
29.0ms
(sqrt (/ x (+ x y)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(/ x (+ x y))
55.0ms
(* (sqrt (/ x (+ x y))) (sqrt (/ x (+ x y))))
91.0ms
(sqrt (/ x (+ x y)))
88.0ms
(sqrt (/ x (+ x y)))

simplify2.0s

Counts
221 → 221
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01833207
12982251
29112129
322992090
done50002062

prune684.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.0ms