Details

Time bar (total: 13.8s)

sample35.0ms

Algorithm
intervals
Results
14.0ms351×body80valid

simplify1.4s

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

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (/ x z) (+ z 1.0))
3.3b
(* (/ 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:
19.0ms
(/ (/ x z) (+ z 1.0))
69.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (/ x z) (+ z 1.0))
75.0ms
(* (/ y z) (/ (/ x z) (+ z 1.0)))

simplify501.0ms

Counts
193 → 193
Iterations
IterNodes
done5000
1963
0299

prune859.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.1b
(* (/ y z) (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
18×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp associate-*l*
10×times-frac
9×cbrt-prod pow1
5×frac-times associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down associate-*l/
2×unswap-sqr
1×associate-*r* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
2.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
56.0ms
(* (/ y z) (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

series854.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt x)
253.0ms
(cbrt x)
228.0ms
(cbrt x)
114.0ms
(* (/ y z) (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))))

simplify937.0ms

Counts
98 → 98
Iterations
IterNodes
done5001
21697
1432
0153

prune546.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (+ z 1.0))
0.4b
(cbrt (+ z 1.0))
1.3b
(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
3.1b
(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
357×times-frac
234×*-un-lft-identity
230×add-sqr-sqrt
205×add-exp-log
172×add-cube-cbrt
135×cbrt-prod
124×associate-*r*
98×associate-*l*
96×div-exp
91×add-cbrt-cube
71×prod-exp
57×cbrt-undiv
45×cbrt-unprod
31×distribute-lft-out
17×div-inv
15×unswap-sqr
11×pow1
10×cbrt-div
7×rec-exp 1-exp
6×frac-times associate-*l/ associate-/r/
5×flip3-+ flip-+
4×pow-prod-down associate-*r/ add-log-exp
2×pow1/3 *-commutative
Counts
4 → 362
Calls
4 calls:
3.0ms
(cbrt (+ z 1.0))
5.0ms
(cbrt (+ z 1.0))
130.0ms
(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
133.0ms
(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(cbrt (+ z 1.0))
112.0ms
(cbrt (+ z 1.0))
73.0ms
(* (* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0)))) (/ (/ 1 z) (cbrt (+ z 1.0))))
271.0ms
(* (/ (/ y z) (cbrt (+ z 1.0))) (/ x (cbrt (+ z 1.0))))

simplify963.0ms

Counts
374 → 374
Iterations
IterNodes
done5001
12193
0608

prune2.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (/ x z) (/ y z)) (+ z 1.0))
4.3b
(* (/ x z) (/ y z))

rewrite41.0ms

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:
17.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
21.0ms
(* (/ x z) (/ y z))

series91.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (* (/ x z) (/ y z)) (+ z 1.0))
31.0ms
(* (/ x z) (/ y z))

simplify2.3s

Counts
90 → 90
Iterations
IterNodes
done5001
23909
1541
0172

prune445.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes267.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.3s

Algorithm
intervals
Results
775.0ms10850×body80valid