Details

Time bar (total: 16.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune2.0ms

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 frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
12.0ms
(/ x (+ x y))

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(/ x (+ x y))

simplify4.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
059324
1119305
2270287
3550287
41428287
54626287
done5000287

prune107.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite52.0ms

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 rec-exp flip3-+ 1-exp cbrt-unprod flip-+ 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 → 78
Calls
2 calls:
12.0ms
(/ 1 (+ x y))
35.0ms
(* x (/ 1 (+ x y)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ 1 (+ x y))
56.0ms
(* x (/ 1 (+ x y)))

simplify3.8s

Counts
84 → 84
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
095755
1220579
2449517
3905517
41928517
done5001517

prune167.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
45.0ms
(/ (+ y x) x)
34.0ms
(/ 1 (/ (+ y x) x))

series72.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (+ y x) x)
46.0ms
(/ 1 (/ (+ y x) x))

simplify3.5s

Counts
127 → 127
Iterations

Useful iterations: done (3.5s)

IterNodesCost
01561634
13351347
26541180
313191156
423841156
done50001155

prune155.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

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×rem-sqrt-square associate-/r* 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 → 201
Calls
4 calls:
11.0ms
(/ x (+ y x))
82.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
21.0ms
(sqrt (/ x (+ y x)))
33.0ms
(sqrt (/ x (+ y x)))

series288.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ x (+ y x))
64.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
82.0ms
(sqrt (/ x (+ y x)))
84.0ms
(sqrt (/ x (+ y x)))

simplify2.9s

Counts
213 → 213
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01773139
12892203
28882081
322212042
done50002014

prune548.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes0.0ms