Details

Time bar (total: 15.0s)

sample44.0ms

Algorithm
intervals
Results
21.0ms346×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09204
127204
276204
3166204
4272204
5402204
6513204
7763204
81978204
done5000204

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.1b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite49.0ms

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))
23.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (* z z) (+ z 1.0))
75.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.1s

Counts
57 → 57
Iterations

Useful iterations: 2 (694.0ms)

IterNodesCost
011217729
138914114
2352012412
done500012412

prune216.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.2b

localize12.0ms

Local error

Found 2 expressions with local error:

5.4b
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.2b
(/ x (* z z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
24×add-sqr-sqrt
22×times-frac
20×*-un-lft-identity
18×associate-*r*
14×add-cube-cbrt
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
4×pow1 unswap-sqr
3×div-inv distribute-lft-out associate-/l*
2×associate-/r/ add-log-exp
1×frac-times clear-num associate-/r* frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
55.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
7.0ms
(/ x (* z z))

series103.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
29.0ms
(/ x (* z z))

simplify2.4s

Counts
80 → 80
Iterations

Useful iterations: 2 (795.0ms)

IterNodesCost
015023106
148920020
2357918555
done500018555

prune480.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.8b
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

rewrite116.0ms

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)
105.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

series1.3s

Counts
4 → 12
Calls
4 calls:
318.0ms
(cbrt x)
300.0ms
(cbrt x)
256.0ms
(cbrt x)
420.0ms
(* (/ (* (cbrt x) (cbrt x)) z) (* (/ (cbrt x) z) (/ y (+ z 1.0))))

simplify2.6s

Counts
100 → 100
Iterations

Useful iterations: done (2.6s)

IterNodesCost
016137957
155733106
2334631028
done500123068

prune442.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

1.6b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
1.9b
(* (/ x z) (/ y (+ z 1.0)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
55×add-cbrt-cube
40×prod-exp
36×add-sqr-sqrt
34×times-frac
30×*-un-lft-identity div-exp
26×associate-*l*
24×add-cube-cbrt
22×cbrt-unprod
19×associate-*r*
17×cbrt-undiv
9×pow1
6×frac-times associate-*r/
5×rec-exp 1-exp
4×pow-prod-down associate-*l/ unswap-sqr
3×div-inv distribute-lft-out
2×associate-/r/ *-commutative add-log-exp
1×flip3-+ flip-+
Counts
2 → 116
Calls
2 calls:
46.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
34.0ms
(* (/ x z) (/ y (+ z 1.0)))

series130.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
63.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify838.0ms

Counts
122 → 122
Iterations

Useful iterations: done (827.0ms)

IterNodesCost
022843158
176835600
done500132428

prune368.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (1.3b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012364
115364
done15364

end0.0ms

sample844.0ms

Algorithm
intervals
Results
561.0ms10762×body80valid