Details

Time bar (total: 8.2s)

sample26.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify129.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0911
12111
24010
36710
410210
513910
614410
done14410

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 2 expressions with local error:

2.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.3b
(* y (+ 1.0 (* z z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 74
Calls
2 calls:
28.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
22.0ms
(* y (+ 1.0 (* z z)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
82.0ms
(* y (+ 1.0 (* z z)))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: 2 (379.0ms)

IterNodesCost
01601102
14461075
22244866
done5001866

prune271.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.1b

localize13.0ms

Local error

Found 2 expressions with local error:

2.7b
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
3.7b
(/ (/ 1 x) (fma z z 1.0))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
57.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
17.0ms
(/ (/ 1 x) (fma z z 1.0))

series151.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
68.0ms
(/ (/ 1 x) (fma z z 1.0))

simplify469.0ms

Counts
174 → 174
Iterations

Useful iterations: done (462.0ms)

IterNodesCost
02852989
18742725
done50012438

prune580.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.1b

localize11.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ 1.0 (* y (* (fma z z 1.0) x)))
2.4b
(* y (* (fma z z 1.0) x))
3.6b
(* (fma z z 1.0) x)

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
10×pow1 add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*l*
4×associate-*r* pow-prod-down
3×cbrt-undiv expm1-log1p-u times-frac div-exp log1p-expm1-u associate-/l* add-log-exp
2×*-commutative
1×frac-2neg clear-num associate-/r* div-inv unswap-sqr
Counts
3 → 65
Calls
3 calls:
24.0ms
(/ 1.0 (* y (* (fma z z 1.0) x)))
29.0ms
(* y (* (fma z z 1.0) x))
8.0ms
(* (fma z z 1.0) x)

series219.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(/ 1.0 (* y (* (fma z z 1.0) x)))
71.0ms
(* y (* (fma z z 1.0) x))
56.0ms
(* (fma z z 1.0) x)

simplify869.0ms

Counts
74 → 74
Iterations

Useful iterations: done (866.0ms)

IterNodesCost
0117896
1279873
21268708
done5002703

prune227.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
5.4b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite103.0ms

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 associate-/r/ log1p-expm1-u associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 268
Calls
2 calls:
15.0ms
(/ (/ 1.0 x) y)
53.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ (/ 1.0 x) y)
86.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify669.0ms

Counts
274 → 274
Iterations

Useful iterations: done (651.0ms)

IterNodesCost
04805692
112435411
done50014983

prune1.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.1b

regimes174.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample956.0ms

Algorithm
intervals
Results
563.0ms8652×body80valid