Details

Time bar (total: 7.5s)

sample26.0ms

Algorithm
intervals
Results
10.0ms352×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1179
2359
3519
4719
5839
6879
done879

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(/ (- (* x y) (* z t)) a)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg fma-neg diff-log div-sub div-exp prod-diff clear-num div-inv
Counts
2 → 48
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ (- (* x y) (* z t)) a)

series112.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- (* x y) (* z t))
60.0ms
(/ (- (* x y) (* z t)) a)

simplify942.0ms

Counts
54 → 54
Iterations

Useful iterations: done (940.0ms)

IterNodesCost
088706
1220679
2743628
32448628
done5001626

prune198.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
5.4b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×expm1-log1p-u frac-times div-exp associate-*l/ cbrt-unprod log1p-expm1-u
1×cbrt-undiv sub-neg rec-exp fma-neg diff-log 1-exp associate-*r/ prod-diff pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 58
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series98.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* x y) (* z t))
56.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify2.4s

Counts
64 → 64
Iterations

Useful iterations: done (2.4s)

IterNodesCost
0114890
1300791
21074682
33779682
done5000681

prune179.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
5.4b
(/ a (- (* x y) (* z t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
3×expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip fma-neg diff-log prod-diff inv-pow
Counts
3 → 133
Calls
3 calls:
9.0ms
(/ 1 (/ a (- (* x y) (* z t))))
3.0ms
(- (* x y) (* z t))
7.0ms
(/ a (- (* x y) (* z t)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(/ 1 (/ a (- (* x y) (* z t))))
45.0ms
(- (* x y) (* z t))
40.0ms
(/ a (- (* x y) (* z t)))

simplify2.4s

Counts
142 → 142
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01972568
14602349
214352087
339982053
done50012051

prune314.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma y x (- (* z t)))
5.4b
(/ (fma y x (- (* z t))) a)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
0.0ms
(fma y x (- (* z t)))
2.0ms
(/ (fma y x (- (* z t))) a)

series116.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(fma y x (- (* z t)))
61.0ms
(/ (fma y x (- (* z t))) a)

simplify420.0ms

Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
068574
1116565
2300513
3992513