Details

Time bar (total: 23.0s)

sample36.0ms

Algorithm
intervals
Results
19.0ms273×body80valid

simplify135.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune398.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 1.0 x) y)
3.9b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
14.0ms
(/ (/ 1.0 x) y)
50.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series105.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ 1.0 x) y)
79.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify2.1s

Counts
272 → 272
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* x y))
3.9b
(/ (/ 1.0 (* x y)) (fma z z 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
4×associate-/r*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
16.0ms
(/ 1.0 (* x y))
30.0ms
(/ (/ 1.0 (* x y)) (fma z z 1.0))

series138.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1.0 (* x y))
109.0ms
(/ (/ 1.0 (* x y)) (fma z z 1.0))

simplify3.6s

Counts
79 → 79
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01351100
13091073
2954961
34706959
done5000959

prune334.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.3b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1.0 (* x y))
1.7b
(/ (/ 1.0 (* x y)) (sqrt (fma z z 1.0)))
15.8b
(sqrt (fma z z 1.0))
15.8b
(sqrt (fma z z 1.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
40×add-sqr-sqrt
38×add-cube-cbrt *-un-lft-identity
30×sqrt-prod
18×add-exp-log add-cbrt-cube
10×associate-/l*
9×div-inv
7×cbrt-undiv div-exp associate-/r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 prod-exp clear-num cbrt-unprod
1×associate-/l/
Counts
4 → 127
Calls
4 calls:
8.0ms
(/ 1.0 (* x y))
27.0ms
(/ (/ 1.0 (* x y)) (sqrt (fma z z 1.0)))
3.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series372.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ 1.0 (* x y))
158.0ms
(/ (/ 1.0 (* x y)) (sqrt (fma z z 1.0)))
101.0ms
(sqrt (fma z z 1.0))
86.0ms
(sqrt (fma z z 1.0))

simplify1.6s

Counts
139 → 139
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01952051
14411895
212661778
done50001776

prune650.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
1.9b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

rewrite732.0ms

Algorithm
rewrite-expression-head
Rules
2614×times-frac
1268×add-sqr-sqrt
1152×*-un-lft-identity
1144×add-cube-cbrt
866×cbrt-prod
412×associate-*r*
347×add-exp-log
184×div-exp
136×associate-/l*
112×prod-exp
107×add-cbrt-cube
88×cbrt-undiv
53×div-inv
48×cbrt-unprod
32×unswap-sqr
16×rec-exp 1-exp
11×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1149
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
55.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
461.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

series976.0ms

Counts
4 → 12
Calls
4 calls:
281.0ms
(cbrt y)
325.0ms
(cbrt y)
217.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
152.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

simplify3.5s

Counts
1161 → 1161
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0160734940
1486332731
done500131679

prune6.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.3b

regimes7.0ms