Details

Time bar (total: 15.3s)

sample29.0ms

Algorithm
intervals
Results
12.0ms344×body80valid

simplify2.8s

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.2b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite67.0ms

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:
40.0ms
(* (* z z) (+ z 1.0))
21.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* (* z z) (+ z 1.0))
105.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.4s

Counts
57 → 57
Iterations
IterNodes
done5030
21993
1369
0112

prune231.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
6.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
6.4b
(/ x (* z z))

rewrite66.0ms

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:
10.0ms
(/ y (+ z 1.0))
40.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.0ms
(/ x (* z z))

series146.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ y (+ z 1.0))
67.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
30.0ms
(/ x (* z z))

simplify1.5s

Counts
116 → 116
Iterations
IterNodes
done5004
22293
1539
0180

prune569.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite96.0ms

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))
44.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
36.0ms
(* (/ x z) (/ y (+ z 1.0)))

series149.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(/ y (+ z 1.0))
54.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
57.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.8s

Counts
158 → 158
Iterations
IterNodes
done5002
22971
1791
0257

prune618.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
658×add-exp-log
364×prod-exp
224×add-cbrt-cube
212×div-exp
182×cbrt-unprod
106×cbrt-undiv
26×rec-exp 1-exp
17×frac-times associate-*r/
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×pow1 associate-*l*
9×cbrt-prod times-frac
7×associate-*l/
6×pow-prod-down
4×add-log-exp
3×pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 229
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
347.0ms
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

series881.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
268.0ms
(cbrt x)
269.0ms
(cbrt x)
84.0ms
(* (/ 1 z) (* (/ (* (cbrt x) (cbrt x)) (* (cbrt z) (cbrt z))) (* (/ (cbrt x) (cbrt z)) (/ y (+ z 1.0)))))

simplify2.2s

Counts
241 → 241
Iterations
IterNodes
done5000
11212
0397

prune674.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes262.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample1.1s

Algorithm
intervals
Results
601.0ms10782×body80valid