Details

Time bar (total: 9.0s)

sample19.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12711
27611
316711
425311
533411
644211
782311
8203211
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log add-cbrt-cube
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×add-cube-cbrt pow-prod-down
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac associate-*l* clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
18.0ms
(* (* z z) (+ z 1.0))
11.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series116.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* (* z z) (+ z 1.0))
66.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify720.0ms

Counts
61 → 61
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0116898
1385832
22156663
done5000663

prune120.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.2b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.0b
(/ x (* z z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-exp-log add-cbrt-cube
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×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 113
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
24.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
3.0ms
(/ x (* z z))

series110.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ y (+ z 1.0))
50.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
25.0ms
(/ x (* z z))

simplify833.0ms

Counts
122 → 122
Iterations

Useful iterations: 2 (179.0ms)

IterNodesCost
01861549
15381460
225451271
done50011271

prune237.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
57×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
9×pow1 cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3 pow-prod-down associate-*l/
1×associate-*r* *-commutative div-inv
Counts
4 → 96
Calls
4 calls:
37.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series606.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))
178.0ms
(cbrt x)
178.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify928.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01651859
15421757
227201130
done50011130

prune246.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
0.5b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.7b
(* (/ x z) (/ y (+ z 1.0)))

rewrite63.0ms

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×pow-prod-down associate-*l/ associate-/r* associate-/r/ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×frac-2neg clear-num
Counts
3 → 155
Calls
3 calls:
5.0ms
(/ y (+ z 1.0))
27.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
24.0ms
(* (/ x z) (/ y (+ z 1.0)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ y (+ z 1.0))
45.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
49.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify1.7s

Counts
164 → 164
Iterations

Useful iterations: 2 (301.0ms)

IterNodesCost
02632480
18052227
237691833
done50011833

prune296.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes88.0ms

Accuracy

30.8% (1.8b remaining)

Error of 1.9b against oracle of 0.1b and baseline of 2.7b

bsearch27.0ms

Steps
ItersRangePoint
6
1.2601683368329578e-282
7.991847353731723e-282
1.2783024294185706e-282

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01832
12532
done2532

end0.0ms

sample503.0ms

Algorithm
intervals
Results
290.0ms10839×body80valid