Details

Time bar (total: 13.1s)

sample28.0ms

Algorithm
intervals
Results
11.0ms276×body80valid

simplify142.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
8.7b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite80.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
2 → 266
Calls
2 calls:
16.0ms
(/ (/ 1.0 x) y)
35.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series109.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (/ 1.0 x) y)
81.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.7s

Counts
272 → 272
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.6b

localize31.0ms

Local error

Found 4 expressions with local error:

3.7b
(/ (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
16.9b
(cbrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
141×add-exp-log
74×div-exp
41×prod-exp
35×add-cbrt-cube
34×cbrt-undiv
31×times-frac
17×cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
11×associate-/l*
9×cbrt-prod
8×rec-exp 1-exp
5×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 119
Calls
4 calls:
60.0ms
(/ (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
1.0ms
(cbrt (fma z z 1.0))
4.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series956.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(/ (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
218.0ms
(cbrt (fma z z 1.0))
241.0ms
(cbrt (fma z z 1.0))
237.0ms
(cbrt (fma z z 1.0))

simplify1.4s

Counts
131 → 131
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02643307
16252969
220472391
done50012247

prune504.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.0b
(* (fma z z 1.0) (cbrt y))
3.0b
(/ (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (fma z z 1.0) (cbrt y)) x))
6.0b
(* (* (fma z z 1.0) (cbrt y)) x)

rewrite386.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
36×add-cbrt-cube
17×add-sqr-sqrt
16×prod-exp cbrt-unprod
15×cbrt-undiv div-exp
13×add-cube-cbrt *-un-lft-identity times-frac
11×pow1
9×associate-*r*
7×cbrt-prod associate-/l*
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative unswap-sqr
1×frac-2neg pow1/3 clear-num associate-/r* associate-/l/
Counts
4 → 103
Calls
4 calls:
294.0ms
(cbrt y)
12.0ms
(* (fma z z 1.0) (cbrt y))
45.0ms
(/ (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (fma z z 1.0) (cbrt y)) x))
32.0ms
(* (* (fma z z 1.0) (cbrt y)) x)

series677.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(cbrt y)
141.0ms
(* (fma z z 1.0) (cbrt y))
114.0ms
(/ (/ 1.0 (* (cbrt y) (cbrt y))) (* (* (fma z z 1.0) (cbrt y)) x))
196.0ms
(* (* (fma z z 1.0) (cbrt y)) x)

simplify1.5s

Counts
115 → 115
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02001888
15081814
223411302
done50001172

prune347.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 7.6b

localize25.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
16.9b
(cbrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))
16.9b
(cbrt (fma z z 1.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×times-frac
15×add-cbrt-cube
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×cbrt-undiv div-exp associate-/l*
9×cbrt-prod
6×sqrt-prod
5×prod-exp cbrt-unprod
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 85
Calls
4 calls:
40.0ms
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))
1.0ms
(cbrt (fma z z 1.0))

series1.1s

Counts
4 → 12
Calls
4 calls:
417.0ms
(/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt (fma z z 1.0)) (cbrt (fma z z 1.0))))
230.0ms
(cbrt (fma z z 1.0))
210.0ms
(cbrt (fma z z 1.0))
224.0ms
(cbrt (fma z z 1.0))

simplify1.4s

Counts
97 → 97
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01941910
14731813
215001588
done50001521

prune415.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 7.6b

regimes377.0ms

Accuracy

0% (1.2b remaining)

Error of 6.2b against oracle of 5.0b and baseline of 6.2b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01939
12239
done2239

end0.0ms

sample681.0ms

Algorithm
intervals
Results
326.0ms8623×body80valid