Details

Time bar (total: 19.6s)

sample45.0ms

Algorithm
intervals
Results
21.0ms335×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09204
127204
273204
3152204
4237204
5291204
6383204
7485204
8770204
92079204
done5000204

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
15.5b
(/ (* 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:
44.0ms
(* (* z z) (+ z 1.0))
22.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (* z z) (+ z 1.0))
98.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.0s

Counts
57 → 57
Iterations

Useful iterations: done (2.0s)

IterNodesCost
011217729
136914194
2199312412
done503012332

prune257.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.1b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.6b
(* (/ x (* z z)) (/ y (+ z 1.0)))
10.1b
(/ x (* z z))

rewrite78.0ms

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:
9.0ms
(/ y (+ z 1.0))
53.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
13.0ms
(/ x (* z z))

series180.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ y (+ z 1.0))
94.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify2.1s

Counts
116 → 116
Iterations

Useful iterations: done (2.1s)

IterNodesCost
018031996
153927318
2229325813
done500425453

prune578.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
3.2b
(* (/ x z) (/ y (+ z 1.0)))

rewrite150.0ms

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:
18.0ms
(/ y (+ z 1.0))
79.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
41.0ms
(* (/ x z) (/ y (+ z 1.0)))

series219.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(/ y (+ z 1.0))
73.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
88.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify3.3s

Counts
158 → 158
Iterations

Useful iterations: done (3.3s)

IterNodesCost
025752048
179143018
2297139561
done500239401

prune796.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (/ x z) (/ y (+ z 1.0)))
22.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
22.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
22.1b
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
25×*-un-lft-identity times-frac
21×cbrt-div
19×add-cube-cbrt
18×associate-*r*
16×frac-times add-cbrt-cube associate-*r/ add-exp-log
13×associate-*l*
10×associate-*l/
6×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp unswap-sqr
3×cbrt-prod pow1/3 distribute-lft-out
2×associate-/r/ div-inv
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
4 → 103
Calls
4 calls:
35.0ms
(* (/ x z) (/ y (+ z 1.0)))
63.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
62.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
67.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

series643.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* (/ x z) (/ y (+ z 1.0)))
189.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
169.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))
228.0ms
(cbrt (* (/ 1 z) (* (/ x z) (/ y (+ z 1.0)))))

simplify2.2s

Counts
115 → 115
Iterations

Useful iterations: done (2.2s)

IterNodesCost
022043680
163039395
2203037482
done500036242

prune780.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes267.0ms

Accuracy

5.8% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.1b

bsearch105.0ms

Steps
ItersRangePoint
9
5.36663774086131e+30
1.8105021565711156e+39
8.082464251568436e+34
6
2.6286975424170665e-69
3.1818382816584722e-68
1.506248453983583e-68

simplify8.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0291067
1391067
done391067

end0.0ms

sample952.0ms

Algorithm
intervals
Results
652.0ms10732×body80valid