Details

Time bar (total: 28.2s)

sample28.0ms

Algorithm
intervals
Results
15.0ms271×body80valid

simplify102.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.2b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
4.8b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite53.0ms

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:
11.0ms
(/ (/ 1.0 x) y)
25.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series93.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ 1.0 x) y)
70.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.8s

Counts
272 → 272
Iterations

Useful iterations: done (1.8s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
15.4b
(sqrt (fma z z 1.0))
15.4b
(sqrt (fma z z 1.0))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
1.0ms
(cbrt y)
2.0ms
(cbrt y)
2.0ms
(sqrt (fma z z 1.0))
3.0ms
(sqrt (fma z z 1.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt y)
573.0ms
(cbrt y)
82.0ms
(sqrt (fma z z 1.0))
85.0ms
(sqrt (fma z z 1.0))

simplify2.2s

Counts
68 → 68
Iterations

Useful iterations: done (2.2s)

IterNodesCost
070470
1137424
2317394
3832386
43307384
done5000380

prune299.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.1b
(/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0))
3.1b
(* (/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
4848×times-frac
2329×add-sqr-sqrt
2117×add-cube-cbrt *-un-lft-identity
1638×cbrt-prod
787×sqrt-prod
736×associate-*r*
244×associate-/l*
171×add-exp-log
107×add-cbrt-cube
88×cbrt-undiv div-exp
53×div-inv
48×prod-exp cbrt-unprod unswap-sqr
14×associate-*l*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
4 → 1892
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
129.0ms
(/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0))
620.0ms
(* (/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
272.0ms
(cbrt y)
244.0ms
(cbrt y)
269.0ms
(/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0))
300.0ms
(* (/ (/ (sqrt 1.0) (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ (sqrt 1.0) (cbrt x)) (cbrt y)) (fma z z 1.0)))

simplify1.8s

Counts
1904 → 1904
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0215961468
done500058656

prune11.8s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
15.4b
(sqrt (fma z z 1.0))
15.4b
(sqrt (fma z z 1.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac
6×pow1 sqrt-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×rem-sqrt-square cbrt-div sqrt-pow1 pow1/2 pow1/3 div-inv
Counts
4 → 78
Calls
4 calls:
10.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(sqrt (fma z z 1.0))
2.0ms
(sqrt (fma z z 1.0))

series825.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt (/ 1.0 x))
315.0ms
(cbrt (/ 1.0 x))
88.0ms
(sqrt (fma z z 1.0))
92.0ms
(sqrt (fma z z 1.0))

simplify2.8s

Counts
90 → 90
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0109806
1183746
2381712
3925704
43586702
done5000698

prune411.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 4.0b

regimes338.0ms

Accuracy

0% (1.2b remaining)

Error of 6.1b against oracle of 5.0b and baseline of 6.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01528
11728
done1728

end0.0ms

sample1.3s

Algorithm
intervals
Results
940.0ms8632×body80valid