Details

Time bar (total: 15.3s)

sample50.0ms

Algorithm
intervals
Results
23.0ms353×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.5b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite93.0ms

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:
57.0ms
(* (* z z) (+ z 1.0))
34.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (* z z) (+ z 1.0))
95.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.1s

Counts
61 → 61
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0116898
1349826
21932663
done5000661

prune193.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0b
(/ x (* z z))

rewrite110.0ms

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:
17.0ms
(/ y (+ z 1.0))
80.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0ms
(/ x (* z z))

series152.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ z 1.0))
73.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
31.0ms
(/ x (* z z))

simplify1.8s

Counts
122 → 122
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01861549
14961460
218721271
done50001259

prune314.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.5b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.0b
(* (/ x z) (/ y (+ z 1.0)))

rewrite173.0ms

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:
22.0ms
(/ y (+ z 1.0))
88.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
54.0ms
(* (/ x z) (/ y (+ z 1.0)))

series163.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
62.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
65.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify2.5s

Counts
164 → 164
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02632480
17272215
226801833
done50001833

prune428.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ (/ (* (/ x z) y) z) (+ z 1.0))
1.9b
(/ (* (/ x z) y) z)
4.7b
(* (/ x z) y)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
47×*-un-lft-identity
36×add-sqr-sqrt
31×add-exp-log add-cube-cbrt add-cbrt-cube
13×cbrt-undiv div-exp associate-*l*
8×div-inv distribute-lft-out associate-/l*
7×associate-/r*
6×prod-exp cbrt-unprod
5×pow1
3×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/ unswap-sqr
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
40.0ms
(/ (/ (* (/ x z) y) z) (+ z 1.0))
22.0ms
(/ (* (/ x z) y) z)
29.0ms
(* (/ x z) y)

series161.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ (/ (* (/ x z) y) z) (+ z 1.0))
43.0ms
(/ (* (/ x z) y) z)
37.0ms
(* (/ x z) y)

simplify1.1s

Counts
131 → 131
Iterations

Useful iterations: 2 (482.0ms)

IterNodesCost
02041775
15221688
219621503
done50011503

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes144.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11011
done1011

end0.0ms

sample1.0s

Algorithm
intervals
Results
572.0ms10754×body80valid