Details

Time bar (total: 14.4s)

sample28.0ms

Algorithm
intervals
Results
13.0ms334×body80valid

simplify4.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12711
27511
316411
425111
531011
636311
749911
8107611
9448611
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
18.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite75.0ms

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×flip3-+ associate-/r/ flip-+ 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 → 51
Calls
2 calls:
45.0ms
(* (* z z) (+ z 1.0))
28.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series153.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* (* z z) (+ z 1.0))
101.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify962.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (282.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune145.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.8b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite79.0ms

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×add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 107
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
53.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.0ms
(/ x (* z z))

series130.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ y (+ z 1.0))
58.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
27.0ms
(/ x (* z z))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune323.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.7b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.8b
(* (/ x z) (/ y (+ z 1.0)))

rewrite177.0ms

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×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 149
Calls
3 calls:
19.0ms
(/ y (+ z 1.0))
91.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
56.0ms
(* (/ x z) (/ y (+ z 1.0)))

series201.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ z 1.0))
72.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
80.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify2.0s

Counts
158 → 158
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02572420
17142165
226071785
done50011759

prune413.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
1.8b
(* (/ y (+ z 1.0)) (/ x z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
35×add-exp-log add-cbrt-cube
29×add-cube-cbrt
18×associate-*l*
14×cbrt-undiv div-exp
13×associate-*r*
8×prod-exp cbrt-unprod
7×associate-/r* distribute-lft-out
5×pow1
4×associate-/r/ div-inv associate-/l* unswap-sqr
3×associate-/l/ add-log-exp
2×frac-times frac-2neg flip3-+ associate-*r/ associate-*l/ clear-num flip-+
1×pow-prod-down *-commutative
Counts
3 → 118
Calls
3 calls:
11.0ms
(/ y (+ z 1.0))
23.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
60.0ms
(* (/ y (+ z 1.0)) (/ x z))

series176.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
62.0ms
(/ (* (/ y (+ z 1.0)) (/ x z)) z)
76.0ms
(* (/ y (+ z 1.0)) (/ x z))

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
02181744
16191662
222181428
done50011428

prune359.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes226.0ms

Accuracy

0% (2.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
11111
done1111

end0.0ms

sample1.0s

Algorithm
intervals
Results
571.0ms10695×body80valid