Details

Time bar (total: 14.2s)

sample27.0ms

Algorithm
intervals
Results
15.0ms334×body80valid

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
92079
8770
7485
6383
5291
4237
3152
273
127
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.6b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite63.0ms

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:
24.0ms
(* (* z z) (+ z 1.0))
37.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series162.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (* z z) (+ z 1.0))
101.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.2s

Counts
57 → 57
Iterations
IterNodes
done5030
21993
1369
0112

prune230.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.7b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.1b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.1b
(/ x (* z z))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
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×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 107
Calls
3 calls:
14.0ms
(/ y (+ z 1.0))
61.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0ms
(/ x (* z z))

series153.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ y (+ z 1.0))
70.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
28.0ms
(/ x (* z z))

simplify1.5s

Counts
116 → 116
Iterations
IterNodes
done5004
22293
1539
0180

prune591.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×cbrt-prod add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
7×associate-*l*
5×frac-times associate-*r/
4×add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
91.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series810.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(cbrt x)
230.0ms
(cbrt x)
250.0ms
(cbrt x)
110.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
done5002
22259
1514
0161

prune504.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.5b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.3b
(* (/ x z) (/ y (+ z 1.0)))

rewrite130.0ms

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×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 149
Calls
3 calls:
9.0ms
(/ y (+ z 1.0))
75.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
40.0ms
(* (/ x z) (/ y (+ z 1.0)))

series211.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ y (+ z 1.0))
72.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
82.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts
158 → 158
Iterations
IterNodes
done5002
22971
1791
0257

prune672.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes313.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.0s10797×body80valid