Details

Time bar (total: 12.1s)

sample49.0ms

Algorithm
intervals
Results
22.0ms346×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize20.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ x z) (+ z 1.0))
2.7b
(* (/ y z) (/ (/ x z) (+ z 1.0)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
154×*-un-lft-identity
121×add-sqr-sqrt
100×add-cube-cbrt
58×associate-*r*
28×add-cbrt-cube add-exp-log
27×distribute-lft-out
13×associate-*l* associate-/l*
12×cbrt-undiv div-exp div-inv
6×prod-exp cbrt-unprod unswap-sqr
4×pow1 associate-/r* associate-/r/
2×flip3-+ flip-+ add-log-exp
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l/
Counts
2 → 187
Calls
2 calls:
15.0ms
(/ (/ x z) (+ z 1.0))
73.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (/ x z) (+ z 1.0))
93.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify550.0ms

Counts
193 → 193
Iterations
IterNodes
done5000
1963
0299

prune1.0s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (/ x z) (/ y z)) (+ z 1.0))
2.2b
(* (/ x z) (/ y z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
18×add-cube-cbrt
13×cbrt-undiv div-exp associate-*r* associate-*l*
8×prod-exp cbrt-unprod
4×pow1 associate-/r* unswap-sqr
3×div-inv associate-/l/
2×frac-times associate-*l/ associate-*r/ associate-/r/ distribute-lft-out add-log-exp
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
2 → 84
Calls
2 calls:
21.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
21.0ms
(* (/ x z) (/ y z))

series123.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
62.0ms
(* (/ x z) (/ y z))

simplify2.7s

Counts
90 → 90
Iterations
IterNodes
done5001
23909
1541
0172

prune357.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (+ 1.0 z))
0.3b
(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
2.2b
(* (/ x z) (/ y z))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
32×div-exp
31×associate-*r*
22×cbrt-unprod
18×cbrt-undiv
14×associate-*l*
11×pow1
7×distribute-lft-out
6×frac-times rec-exp 1-exp associate-*l/
4×associate-/r* pow-prod-down associate-*r/ associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg un-div-inv pow-flip inv-pow
Counts
3 → 154
Calls
3 calls:
14.0ms
(/ 1 (+ 1.0 z))
66.0ms
(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
19.0ms
(* (/ x z) (/ y z))

series174.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ 1 (+ 1.0 z))
80.0ms
(* (* (/ x z) (/ y z)) (/ 1 (+ 1.0 z)))
61.0ms
(* (/ x z) (/ y z))

simplify548.0ms

Counts
163 → 163
Iterations
IterNodes
done5000
1810
0247

prune687.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x z)) (/ y z))
9.3b
(cbrt (/ x z))
9.3b
(cbrt (/ x z))
9.3b
(cbrt (/ x z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
56×cbrt-prod
50×times-frac
40×*-un-lft-identity add-cube-cbrt
16×associate-*l*
13×associate-*r*
9×add-exp-log
7×add-cbrt-cube
6×pow1 unswap-sqr
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×frac-times cbrt-undiv div-exp pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 117
Calls
4 calls:
21.0ms
(* (cbrt (/ x z)) (/ y z))
3.0ms
(cbrt (/ x z))
3.0ms
(cbrt (/ x z))
2.0ms
(cbrt (/ x z))

series439.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(* (cbrt (/ x z)) (/ y z))
83.0ms
(cbrt (/ x z))
79.0ms
(cbrt (/ x z))
86.0ms
(cbrt (/ x z))

simplify891.0ms

Counts
129 → 129
Iterations
IterNodes
done5000
21309
1361
0163

prune813.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes232.0ms

Accuracy

0% (2.6b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
011

end0.0ms

sample1.4s

Algorithm
intervals
Results
995.0ms10768×body80valid