Details

Time bar (total: 15.5s)

sample28.0ms

Algorithm
intervals
Results
12.0ms358×body80valid

simplify5.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite103.0ms

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:
68.0ms
(* (* z z) (+ z 1.0))
31.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series184.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* z z) (+ z 1.0))
105.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
57 → 57
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
0112858
1343788
21881626
done5000626

prune163.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
4.3b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.8b
(/ x (* z z))

rewrite136.0ms

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:
21.0ms
(/ y (+ z 1.0))
92.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
15.0ms
(/ x (* z z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ y (+ z 1.0))
83.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
42.0ms
(/ x (* z z))

simplify1.5s

Counts
116 → 116
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01801501
14851416
218071228
done50001214

prune348.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.0b
(* (/ x z) (/ y (+ z 1.0)))
1.1b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

rewrite155.0ms

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:
12.0ms
(/ y (+ z 1.0))
48.0ms
(* (/ x z) (/ y (+ z 1.0)))
84.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

series191.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ z 1.0))
79.0ms
(* (/ x z) (/ y (+ z 1.0)))
63.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))

simplify2.1s

Counts
158 → 158
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02572420
17142165
226421785
done50001759

prune388.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.0b
(* (/ x z) (/ y (+ z 1.0)))
1.1b
(/ (* (/ x z) (/ y (+ z 1.0))) z)

rewrite102.0ms

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-*r*
14×cbrt-undiv div-exp
13×associate-*l*
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:
15.0ms
(/ y (+ z 1.0))
52.0ms
(* (/ x z) (/ y (+ z 1.0)))
28.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)

series191.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ y (+ z 1.0))
68.0ms
(* (/ x z) (/ y (+ z 1.0)))
76.0ms
(/ (* (/ x z) (/ y (+ z 1.0))) z)

simplify1.4s

Counts
127 → 127
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02101745
15961657
221711425
done50011399

prune339.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes196.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: done (5.0ms)

IterNodesCost
01828
12422
done2420

end0.0ms

sample1.1s

Algorithm
intervals
Results
620.0ms10698×body80valid