Details

Time bar (total: 16.1s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
155
done55

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (+ y x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
associate-/r* distribute-lft-out
add-exp-log add-cbrt-cube associate-/l*
associate-/r/
pow1 cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv add-log-exp
Counts
1 → 33
Calls
1 calls:
24.0ms
(/ x (+ y x))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ x (+ y x))

simplify4.5s

Counts
36 → 36
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
059324
1119305
2270287
3550287
41428287
54631287
done5000287

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite92.0ms

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
add-cbrt-cube
distribute-lft-out
pow1
div-exp prod-exp associate-/r* associate-/r/
associate-*l* associate-/l* unswap-sqr
cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv add-log-exp
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 78
Calls
2 calls:
24.0ms
(/ 1 (+ y x))
64.0ms
(* x (/ 1 (+ y x)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1 (+ y x))
73.0ms
(* x (/ 1 (+ y x)))

simplify3.8s

Counts
84 → 84
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
095755
1220579
2449517
3902517
41931517
done5000517

prune147.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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
add-cbrt-cube
div-exp
associate-/l*
div-inv
cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
pow-flip flip3-+ associate-/r/ flip-+ inv-pow
Counts
2 → 121
Calls
2 calls:
31.0ms
(/ (+ y x) x)
18.0ms
(/ 1 (/ (+ y x) x))

series87.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (+ y x) x)
68.0ms
(/ 1 (/ (+ y x) x))

simplify3.4s

Counts
127 → 127
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01561634
13351347
26541180
313191156
423841156
done50001155

prune165.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

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)))

rewrite144.0ms

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
unswap-sqr
add-exp-log add-cbrt-cube
flip3-+ flip-+ div-inv
sqrt-div
pow-prod-up
rem-sqrt-square associate-/r* add-log-exp
pow-prod-down pow-sqr associate-/l*
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:
15.0ms
(/ x (+ y x))
84.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
16.0ms
(sqrt (/ x (+ y x)))
11.0ms
(sqrt (/ x (+ y x)))

series283.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ x (+ y x))
77.0ms
(* (sqrt (/ x (+ y x))) (sqrt (/ x (+ y x))))
67.0ms
(sqrt (/ x (+ y x)))
82.0ms
(sqrt (/ x (+ y x)))

simplify2.4s

Counts
213 → 213
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01773139
12892203
28882081
322212042
done50002014

prune595.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.0ms