Details

Time bar (total: 13.1s)

sample37.0ms

Algorithm
intervals
Results
18.0ms277×body80valid

simplify95.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
12111
23711
35911
48811
511111
done11111

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize15.0ms

Local error

Found 2 expressions with local error:

4.4b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
5.0b
(* y (+ 1.0 (* z z)))

rewrite36.0ms

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:
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
17.0ms
(* y (+ 1.0 (* z z)))

series573.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
482.0ms
(* y (+ 1.0 (* z z)))

simplify1.1s

Counts
76 → 76
Iterations

Useful iterations: 2 (436.0ms)

IterNodesCost
01561062
14391035
22200897
done5002897

prune259.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.7b

localize25.0ms

Local error

Found 2 expressions with local error:

2.6b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
4.3b
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

rewrite170.0ms

Algorithm
rewrite-expression-head
Rules
275×times-frac
167×add-sqr-sqrt
141×add-cube-cbrt *-un-lft-identity
72×associate-*r*
65×cbrt-prod
43×add-exp-log
33×add-cbrt-cube
22×associate-/l*
18×cbrt-undiv div-exp
12×prod-exp cbrt-unprod
10×div-inv
8×unswap-sqr
7×associate-*l*
4×pow1 associate-/r/
3×associate-/r*
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 225
Calls
2 calls:
110.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
45.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

series378.0ms

Counts
2 → 6
Calls
2 calls:
221.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
156.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))

simplify758.0ms

Counts
231 → 231
Iterations

Useful iterations: done (746.0ms)

IterNodesCost
03765294
113065064
done50004722

prune1.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
1.7b
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
4.2b
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

rewrite150.0ms

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))
15.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
114.0ms
(* (/ (* (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:
278.0ms
(cbrt (/ 1.0 x))
294.0ms
(cbrt (/ 1.0 x))
303.0ms
(/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z)))
193.0ms
(* (/ (* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x))) y) (/ (cbrt (/ 1.0 x)) (+ 1.0 (* z z))))

simplify607.0ms

Counts
231 → 231
Iterations

Useful iterations: done (600.0ms)

IterNodesCost
03394905
19594720
done50004416

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 4.7b

localize41.0ms

Local error

Found 4 expressions with local error:

4.3b
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
13.6b
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
13.6b
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
13.6b
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
498×times-frac
333×cbrt-prod
265×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×associate-/l*
17×div-inv
9×add-exp-log
8×associate-/r/ add-cbrt-cube
4×pow1 flip3-+ flip-+ add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 351
Calls
4 calls:
38.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
17.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
18.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
31.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
127.0ms
(/ (/ (cbrt 1.0) x) (+ 1.0 (* z z)))
388.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
414.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))
398.0ms
(cbrt (/ (/ (cbrt 1.0) x) (+ 1.0 (* z z))))

simplify1.0s

Counts
363 → 363
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03889122
18168707
228978569
done50008540

prune1.9s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.7b

regimes227.0ms

Accuracy

0% (1.6b remaining)

Error of 6.4b against oracle of 4.8b and baseline of 6.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01218
11418
done1418

end0.0ms

sample881.0ms

Algorithm
intervals
Results
513.0ms8584×body80valid