Details

Time bar (total: 11.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms338×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
211123
done11123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.0b

localize22.0ms

Local error

Found 1 expressions with local error:

11.8b
(/ x (* y y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt associate-/l*
2×cbrt-undiv div-exp
1×expm1-log1p-u pow1 clear-num associate-/r* frac-2neg prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
12.0ms
(/ x (* y y))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(/ x (* y y))

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0454311
11023658
23053498
312983498
done50033498

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ x y) y)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×associate-/l*
6×add-cbrt-cube add-exp-log
5×div-inv
3×cbrt-undiv associate-/r* div-exp
1×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
Counts
1 → 72
Calls
1 calls:
9.0ms
(/ (/ x y) y)

series38.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (/ x y) y)

simplify4.3s

Counts
75 → 75
Iterations

Useful iterations: done (4.2s)

IterNodesCost
014220530
132318783
280918062
3429318022
done505717942

prune303.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (/ 1 y) (/ x y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×times-frac
23×add-exp-log
17×*-un-lft-identity
15×add-cube-cbrt
13×add-cbrt-cube associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1
2×rec-exp 1-exp div-inv
1×expm1-log1p-u frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative log1p-expm1-u add-log-exp
Counts
1 → 58
Calls
1 calls:
26.0ms
(* (/ 1 y) (/ x y))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (/ 1 y) (/ x y))

simplify3.7s

Counts
61 → 61
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
011214332
133512049
210309638
332079478
done50289478

prune279.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
20.2b
(cbrt (* (/ 1 y) (/ x y)))
20.2b
(cbrt (* (/ 1 y) (/ x y)))
20.2b
(cbrt (* (/ 1 y) (/ x y)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*l/ associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
20.0ms
(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
7.0ms
(cbrt (* (/ 1 y) (/ x y)))
7.0ms
(cbrt (* (/ 1 y) (/ x y)))
7.0ms
(cbrt (* (/ 1 y) (/ x y)))

series485.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* (cbrt (* (/ 1 y) (/ x y))) (cbrt (* (/ 1 y) (/ x y))))
125.0ms
(cbrt (* (/ 1 y) (/ x y)))
109.0ms
(cbrt (* (/ 1 y) (/ x y)))
110.0ms
(cbrt (* (/ 1 y) (/ x y)))

simplify104.0ms

Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
011730974