Details

Time bar (total: 12.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (7.0ms)

IterNodesCost
0911
11511
22211
32610
42910
53010
done3010

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite18.0ms

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:
17.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.8s

Counts
38 → 38
Iterations

Useful iterations: 3 (542.0ms)

IterNodesCost
091604
1213582
2611538
31819493
done5001493

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
6.8b
(/ (fma (/ x 2.0) y 1.0) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
52×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
15×add-exp-log
9×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u add-log-exp
1×pow-flip associate-/r/ inv-pow
Counts
2 → 107
Calls
2 calls:
17.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
9.0ms
(/ (fma (/ x 2.0) y 1.0) y)

series177.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(/ 1 (/ (fma (/ x 2.0) y 1.0) y))
78.0ms
(/ (fma (/ x 2.0) y 1.0) y)

simplify2.2s

Counts
113 → 113
Iterations

Useful iterations: 3 (748.0ms)

IterNodesCost
01842005
13871781
28291580
320601560
done50011560

prune203.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.3b
(/ (fma (/ x 2.0) y 1.0) (cbrt y))
5.0b
(* (/ 1 (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
51×add-exp-log times-frac
39×*-un-lft-identity
36×add-cube-cbrt
30×cbrt-prod
22×associate-*r*
20×prod-exp
19×add-cbrt-cube
16×div-exp
9×unswap-sqr
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×pow1 associate-/r*
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×div-inv associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 139
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
8.0ms
(/ (fma (/ x 2.0) y 1.0) (cbrt y))
68.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

series695.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt y)
245.0ms
(cbrt y)
148.0ms
(/ (fma (/ x 2.0) y 1.0) (cbrt y))
81.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

simplify1.6s

Counts
151 → 151
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02012589
14942393
217541905
done50001787

prune559.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.0b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))))
5.3b
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
5.3b
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
5.3b
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
82×add-exp-log
57×times-frac
51×prod-exp
45×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-div
22×add-cbrt-cube
21×cbrt-unprod
17×frac-times
13×pow1 associate-*r/
12×div-exp
11×associate-*l/
7×associate-*l*
6×cbrt-undiv rec-exp 1-exp pow-prod-down
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 165
Calls
4 calls:
309.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))))
7.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
6.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
15.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))) (cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))))
317.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
345.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))
310.0ms
(cbrt (/ (fma (/ x 2.0) y 1.0) (cbrt y)))

simplify1.8s

Counts
177 → 177
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02815811
16335384
220243976
done50003660

prune933.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes1.0ms