Details

Time bar (total: 16.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify88.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
23711
35811
48711
511111
done11111

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize11.0ms

Local error

Found 2 expressions with local error:

2.8b
(* y (+ 1.0 (* z z)))
3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

rewrite37.0ms

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:
17.0ms
(* y (+ 1.0 (* z z)))
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

series191.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* y (+ 1.0 (* z z)))
100.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))

simplify1.5s

Counts
76 → 76
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01561062
13951035
21322887
done5000885

prune221.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.4b
(/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z)))
2.8b
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) y) (/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z))))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
555×times-frac
341×add-sqr-sqrt
272×add-cube-cbrt *-un-lft-identity
270×cbrt-prod
126×associate-*r*
102×add-exp-log
64×add-cbrt-cube
48×cbrt-undiv div-exp
40×associate-/l*
30×prod-exp cbrt-unprod
19×associate-*l*
18×unswap-sqr
13×div-inv
6×pow1
4×associate-/r/ add-log-exp
3×associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 413
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
35.0ms
(/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z)))
183.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) y) (/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z))))

series1.2s

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
309.0ms
(cbrt x)
352.0ms
(/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z)))
244.0ms
(* (/ (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt x) (cbrt x))) y) (/ (/ (cbrt 1.0) (cbrt x)) (+ 1.0 (* z z))))

simplify1.3s

Counts
425 → 425
Iterations

Useful iterations: done (1.3s)

IterNodesCost
062111655
1193311141
done50009787

prune2.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(cbrt (/ 1.0 x))
0.8b
(cbrt (/ 1.0 x))
1.4b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
2.8b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
134×add-sqr-sqrt
121×cbrt-prod
110×add-cube-cbrt *-un-lft-identity
54×associate-*r*
27×add-exp-log
19×add-cbrt-cube
16×associate-/l*
12×div-inv
8×cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
7×associate-*l*
6×pow1
4×associate-/r/ add-log-exp
3×cbrt-div associate-/r*
2×flip3-+ pow1/3 flip-+
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 219
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
19.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
155.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

series1.1s

Counts
4 → 12
Calls
4 calls:
301.0ms
(cbrt (/ 1.0 x))
322.0ms
(cbrt (/ 1.0 x))
285.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
219.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify2.5s

Counts
231 → 231
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03394905
18494708
232354231
done50004100

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 3.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 1.0 x) y)
3.9b
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

rewrite94.0ms

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:
17.0ms
(/ (/ 1.0 x) y)
53.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ 1.0 x) y)
100.0ms
(/ (/ (/ 1.0 x) y) (+ 1.0 (* z z)))

simplify1.8s

Counts
270 → 270
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04765656
111065375
229975245
done50015243

prune990.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 3.3b

regimes512.0ms

Accuracy

0% (1.1b remaining)

Error of 6.3b against oracle of 5.2b and baseline of 6.3b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01729
11929
done1929

end0.0ms

sample956.0ms

Algorithm
intervals
Results
546.0ms8614×body80valid