Details

Time bar (total: 11.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms348×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27711
317411
426411
533111
640311
755111
8114511
9459511
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
17.0b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r/ associate-*r*
3×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
30.0ms
(* (* z z) (+ z 1.0))
30.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (* z z) (+ z 1.0))
72.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify804.0ms

Counts
61 → 61
Iterations

Useful iterations: done (802.0ms)

IterNodesCost
0116898
1349826
21932663
done5000661

prune116.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.0b
(/ x (* z z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
8.0ms
(/ x (* z z))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
59.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
24.0ms
(/ x (* z z))

simplify1.4s

Counts
122 → 122
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01861549
14961460
218721271
done50001259

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.9b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
36.0ms
(* (/ x z) (/ y (+ z 1.0)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
53.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.6s

Counts
164 → 164
Iterations

Useful iterations: 2 (515.0ms)

IterNodesCost
02632480
17272215
226801833
done50001833

prune312.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.1b
(/ (/ y (+ z 1.0)) z)
0.9b
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
4.5b
(* x (/ (/ y (+ z 1.0)) z))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
216×times-frac
165×*-un-lft-identity
124×add-sqr-sqrt
115×add-cube-cbrt
80×add-exp-log
59×associate-*r*
52×add-cbrt-cube
31×prod-exp
27×div-exp
25×distribute-lft-out
21×associate-/l*
17×cbrt-undiv cbrt-unprod
16×associate-*l* associate-/r/
11×pow1 div-inv
8×flip3-+ flip-+
7×associate-/r*
4×expm1-log1p-u rec-exp 1-exp associate-*r/ pow-prod-down log1p-expm1-u add-log-exp
3×unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*l/ associate-/l/
Counts
4 → 262
Calls
4 calls:
11.0ms
(/ y (+ z 1.0))
22.0ms
(/ (/ y (+ z 1.0)) z)
62.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
49.0ms
(* x (/ (/ y (+ z 1.0)) z))

series205.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ y (+ z 1.0))
41.0ms
(/ (/ y (+ z 1.0)) z)
55.0ms
(* (/ 1 z) (* x (/ (/ y (+ z 1.0)) z)))
68.0ms
(* x (/ (/ y (+ z 1.0)) z))

simplify1.3s

Counts
274 → 274
Iterations

Useful iterations: 2 (578.0ms)

IterNodesCost
03824106
19743710
231263344
done50003344

prune605.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes121.0ms

Accuracy

30.8% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 3.1b

bsearch84.0ms

Steps
ItersRangePoint
9
3.2231849881715524e+61
1.1391201988090295e+67
1.0784456011845782e+67
10
-1.094164572712088e+224
-4.675309771094295e+208
-3.6133738920744716e+212

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02245
12745
done2745

end0.0ms

sample610.0ms

Algorithm
intervals
Results
288.0ms10858×body80valid