Details

Time bar (total: 29.8s)

sample30.0ms

Algorithm
intervals
Results
12.0ms351×body80valid

simplify1.8s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize18.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
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×pow-prod-down add-cube-cbrt
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
28.0ms
(* (* z z) (+ z 1.0))
30.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series216.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(* (* z z) (+ z 1.0))
120.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.1s

Counts
57 → 57
Iterations
IterNodes
done5000
23520
1389
0112

prune294.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
5.5b
(/ (* (* z z) (+ z 1.0)) y)
7.8b
(/ x (/ (* (* z z) (+ z 1.0)) y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
31×add-cbrt-cube add-exp-log
24×*-un-lft-identity
23×add-sqr-sqrt
22×add-cube-cbrt
10×cbrt-undiv associate-/r* div-exp
9×prod-exp cbrt-unprod
8×pow1
6×div-inv
4×associate-*r* associate-*r/ associate-/l*
3×pow-prod-down add-log-exp
2×clear-num frac-2neg flip3-+ flip-+ associate-/l/
1×distribute-rgt-in distribute-lft-in associate-*l* associate-/r/ *-commutative distribute-lft-out unswap-sqr
Counts
3 → 99
Calls
3 calls:
42.0ms
(* (* z z) (+ z 1.0))
32.0ms
(/ (* (* z z) (+ z 1.0)) y)
19.0ms
(/ x (/ (* (* z z) (+ z 1.0)) y))

series251.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(* (* z z) (+ z 1.0))
74.0ms
(/ (* (* z z) (+ z 1.0)) y)
94.0ms
(/ x (/ (* (* z z) (+ z 1.0)) y))

simplify3.1s

Counts
108 → 108
Iterations
IterNodes
done5000
24377
1561
0189

prune667.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (/ (cbrt x) (/ (+ z 1.0) (cbrt y))))
1.3b
(/ (cbrt x) (/ z (cbrt y)))
1.3b
(/ (cbrt x) (/ z (cbrt y)))
1.3b
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

rewrite316.0ms

Algorithm
rewrite-expression-head
Rules
1174×times-frac
744×*-un-lft-identity
605×add-sqr-sqrt
596×cbrt-prod
588×add-cube-cbrt
190×add-exp-log
173×associate-*r*
97×add-cbrt-cube
93×cbrt-undiv div-exp
78×distribute-lft-out
72×associate-/r*
57×prod-exp cbrt-unprod
31×div-inv
18×associate-/l*
9×pow1
7×unswap-sqr
5×frac-times associate-*l/
4×associate-/r/ add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/
1×associate-*l* *-commutative
Counts
4 → 825
Calls
4 calls:
193.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (/ (cbrt x) (/ (+ z 1.0) (cbrt y))))
12.0ms
(/ (cbrt x) (/ z (cbrt y)))
12.0ms
(/ (cbrt x) (/ z (cbrt y)))
19.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

series608.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (/ (cbrt x) (/ (+ z 1.0) (cbrt y))))
154.0ms
(/ (cbrt x) (/ z (cbrt y)))
124.0ms
(/ (cbrt x) (/ z (cbrt y)))
212.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

simplify2.8s

Counts
837 → 837
Iterations
IterNodes
done5000
12817
0809

prune5.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize130.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (cbrt y) (cbrt y)))
1.1b
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (* (/ 1 (/ (cbrt (+ z 1.0)) (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (+ z 1.0))))) (/ (cbrt x) (/ (cbrt (+ z 1.0)) (cbrt (cbrt y))))))
1.3b
(/ (cbrt x) (/ z (cbrt y)))
1.3b
(/ (cbrt x) (/ z (cbrt y)))

rewrite783.0ms

Algorithm
rewrite-expression-head
Rules
2431×add-exp-log
1314×div-exp
889×prod-exp
540×cbrt-undiv
525×add-cbrt-cube
516×times-frac
367×cbrt-unprod
278×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
265×cbrt-prod
90×rec-exp 1-exp
44×associate-/r*
17×frac-times
16×pow1 div-inv
12×associate-/l*
11×associate-*l/ associate-*r/
8×pow-prod-down
4×add-log-exp
2×clear-num frac-2neg associate-/r/
1×pow1/3 associate-*r* associate-*l* *-commutative
Counts
4 → 828
Calls
4 calls:
9.0ms
(cbrt (* (cbrt y) (cbrt y)))
582.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (* (/ 1 (/ (cbrt (+ z 1.0)) (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (+ z 1.0))))) (/ (cbrt x) (/ (cbrt (+ z 1.0)) (cbrt (cbrt y))))))
14.0ms
(/ (cbrt x) (/ z (cbrt y)))
12.0ms
(/ (cbrt x) (/ z (cbrt y)))

series908.0ms

Counts
4 → 12
Calls
4 calls:
412.0ms
(cbrt (* (cbrt y) (cbrt y)))
127.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (* (/ 1 (/ (cbrt (+ z 1.0)) (/ (cbrt (* (cbrt y) (cbrt y))) (cbrt (+ z 1.0))))) (/ (cbrt x) (/ (cbrt (+ z 1.0)) (cbrt (cbrt y))))))
179.0ms
(/ (cbrt x) (/ z (cbrt y)))
189.0ms
(/ (cbrt x) (/ z (cbrt y)))

simplify3.0s

Counts
840 → 840
Iterations
IterNodes
done5001
13911
0952

prune5.5s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

regimes783.0ms

Accuracy

0% (2.5b remaining)

Error of 2.7b against oracle of 0.2b and baseline of 2.7b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done27
127
022

end0.0ms

sample1.2s

Algorithm
intervals
Results
656.0ms10850×body80valid