Details

Time bar (total: 23.2s)

sample30.0ms

Algorithm
intervals
Results
13.0ms351×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite50.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 55
Calls
2 calls:
26.0ms
(* (* z z) (+ z 1.0))
22.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (* z z) (+ z 1.0))
92.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.2s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune284.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.1b

localize19.0ms

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))

rewrite85.0ms

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×expm1-log1p-u pow-prod-down log1p-expm1-u 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 → 105
Calls
3 calls:
31.0ms
(* (* z z) (+ z 1.0))
25.0ms
(/ (* (* z z) (+ z 1.0)) y)
25.0ms
(/ x (/ (* (* z z) (+ z 1.0)) y))

series197.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (* z z) (+ z 1.0))
57.0ms
(/ (* (* z z) (+ z 1.0)) y)
72.0ms
(/ x (/ (* (* z z) (+ z 1.0)) y))

simplify2.3s

Counts
114 → 114
Iterations
IterNodes
done5000
24577
1571
0195

prune486.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

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)))

rewrite370.0ms

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×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×clear-num frac-2neg pow-prod-down associate-*r/
1×associate-*l* *-commutative
Counts
4 → 833
Calls
4 calls:
233.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (/ (cbrt x) (/ (+ z 1.0) (cbrt y))))
18.0ms
(/ (cbrt x) (/ z (cbrt y)))
17.0ms
(/ (cbrt x) (/ z (cbrt y)))
18.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* (* (/ (cbrt x) (/ z (cbrt y))) (/ (cbrt x) (/ z (cbrt y)))) (/ (cbrt x) (/ (+ z 1.0) (cbrt y))))
133.0ms
(/ (cbrt x) (/ z (cbrt y)))
132.0ms
(/ (cbrt x) (/ z (cbrt y)))
177.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

simplify2.5s

Counts
845 → 845
Iterations
IterNodes
done5000
12828
0815

prune4.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
594×times-frac
390×*-un-lft-identity
309×cbrt-prod
306×add-sqr-sqrt add-cube-cbrt
50×associate-/r*
42×distribute-lft-out
16×div-inv
14×add-exp-log
12×associate-/l*
8×add-cbrt-cube
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg pow1/3 associate-/r/
Counts
4 → 422
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(/ (cbrt x) (/ z (cbrt y)))
17.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

series791.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt y)
247.0ms
(cbrt y)
134.0ms
(/ (cbrt x) (/ z (cbrt y)))
166.0ms
(/ (cbrt x) (/ (+ z 1.0) (cbrt y)))

simplify1.7s

Counts
434 → 434
Iterations
IterNodes
done5000
11477
0559

prune2.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes799.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample1.2s

Algorithm
intervals
Results
632.0ms10850×body80valid