Details

Time bar (total: 30.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms274×body80valid

simplify47.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
23611
35611
48211
510011
done10011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize7.0ms

Local error

Found 2 expressions with local error:

3.8b
(* y (+ 1.0 (* z z)))
4.7b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
20×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
4×pow1 associate-*r/
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×flip3-+ associate-/r/ flip-+ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 70
Calls
2 calls:
7.0ms
(* y (+ 1.0 (* z z)))
8.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series118.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(* y (+ 1.0 (* z z)))
61.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify583.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (168.0ms)

IterNodesCost
01561062
14081035
21620887
done5001887

prune171.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
6.1b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
228×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
56×associate-/l*
22×div-inv
16×add-exp-log add-cbrt-cube
9×cbrt-undiv div-exp
6×associate-/r*
2×pow1 frac-2neg clear-num associate-/r/ associate-/l/ add-log-exp
1×flip3-+ flip-+
Counts
2 → 264
Calls
2 calls:
6.0ms
(/ (/ 1.0 x) y)
17.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (/ 1.0 x) y)
63.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify1.4s

Counts
270 → 270
Iterations

Useful iterations: 2 (690.0ms)

IterNodesCost
04765656
111295375
239985245
done50015245

prune734.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
1.3b
(/ (/ (/ (cbrt 1.0) (cbrt x)) y) (sqrt (+ 1.0 (* z z))))
16.4b
(sqrt (+ 1.0 (* z z)))
16.4b
(sqrt (+ 1.0 (* z z)))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
2340×times-frac
1071×add-sqr-sqrt
1069×add-cube-cbrt *-un-lft-identity
759×cbrt-prod
381×sqrt-prod
124×associate-/l*
29×div-inv
13×add-exp-log
11×add-cbrt-cube
6×pow1 cbrt-undiv sqrt-div div-exp associate-/r*
4×add-log-exp
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×frac-2neg pow1/3 clear-num associate-/l/
Counts
4 → 934
Calls
4 calls:
1.0ms
(cbrt x)
52.0ms
(/ (/ (/ (cbrt 1.0) (cbrt x)) y) (sqrt (+ 1.0 (* z z))))
3.0ms
(sqrt (+ 1.0 (* z z)))
3.0ms
(sqrt (+ 1.0 (* z z)))

series509.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt x)
220.0ms
(/ (/ (/ (cbrt 1.0) (cbrt x)) y) (sqrt (+ 1.0 (* z z))))
52.0ms
(sqrt (+ 1.0 (* z z)))
46.0ms
(sqrt (+ 1.0 (* z z)))

simplify1.2s

Counts
946 → 946
Iterations

Useful iterations: 1 (812.0ms)

IterNodesCost
0129030344
1298027621
done500027621

prune2.8s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.1b

localize30.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ (/ (/ (cbrt (sqrt 1.0)) (cbrt (cbrt x))) y) (sqrt (cbrt (+ 1.0 (* z z)))))
16.4b
(sqrt (+ 1.0 (* z z)))
16.9b
(cbrt (+ 1.0 (* z z)))
16.9b
(cbrt (+ 1.0 (* z z)))

rewrite648.0ms

Algorithm
rewrite-expression-head
Rules
7311×times-frac
4836×cbrt-prod
3298×add-sqr-sqrt
3297×add-cube-cbrt *-un-lft-identity
2373×sqrt-prod
259×associate-/l*
41×div-inv
13×add-exp-log
11×add-cbrt-cube
9×associate-/r*
6×cbrt-undiv cbrt-div div-exp
5×pow1
4×flip3-+ sqrt-div flip-+ add-log-exp
2×pow1/3 associate-/r/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
Counts
4 → 2659
Calls
4 calls:
118.0ms
(/ (/ (/ (cbrt (sqrt 1.0)) (cbrt (cbrt x))) y) (sqrt (cbrt (+ 1.0 (* z z)))))
3.0ms
(sqrt (+ 1.0 (* z z)))
1.0ms
(cbrt (+ 1.0 (* z z)))
2.0ms
(cbrt (+ 1.0 (* z z)))

series818.0ms

Counts
4 → 12
Calls
4 calls:
433.0ms
(/ (/ (/ (cbrt (sqrt 1.0)) (cbrt (cbrt x))) y) (sqrt (cbrt (+ 1.0 (* z z)))))
42.0ms
(sqrt (+ 1.0 (* z z)))
166.0ms
(cbrt (+ 1.0 (* z z)))
177.0ms
(cbrt (+ 1.0 (* z z)))

simplify884.0ms

Counts
2671 → 2671
Iterations

Useful iterations: 0 (257.0ms)

IterNodesCost
02984106593
done5000106593

prune19.5s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 5.1b

regimes227.0ms

Accuracy

0% (1.1b remaining)

Error of 6.2b against oracle of 5.1b and baseline of 6.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02755
13055
done3055

end0.0ms

sample409.0ms

Algorithm
intervals
Results
238.0ms8599×body80valid