Details

Time bar (total: 19.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms273×body80valid

simplify155.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.8b

localize16.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ (/ 1.0 x) y)
3.9b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite88.0ms

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:
19.0ms
(/ (/ 1.0 x) y)
45.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series128.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (/ 1.0 x) y)
105.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify2.1s

Counts
272 → 272
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (* x y))
3.9b
(/ (* 1 (/ 1.0 (* x y))) (fma z z 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
21×add-cbrt-cube
13×div-exp
9×prod-exp
8×cbrt-undiv
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
5×cbrt-unprod
4×associate-/r* associate-/l*
3×1-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u div-inv add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 54
Calls
2 calls:
8.0ms
(/ 1.0 (* x y))
41.0ms
(/ (* 1 (/ 1.0 (* x y))) (fma z z 1.0))

series96.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (* x y))
72.0ms
(/ (* 1 (/ 1.0 (* x y))) (fma z z 1.0))

simplify1.4s

Counts
60 → 60
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0119792
1279699
21012565
done5001563

prune180.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
1.9b
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

rewrite616.0ms

Algorithm
rewrite-expression-head
Rules
2614×times-frac
1268×add-sqr-sqrt
1152×*-un-lft-identity
1144×add-cube-cbrt
866×cbrt-prod
412×associate-*r*
347×add-exp-log
184×div-exp
136×associate-/l*
112×prod-exp
107×add-cbrt-cube
88×cbrt-undiv
53×div-inv
48×cbrt-unprod
32×unswap-sqr
16×rec-exp 1-exp
11×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 → 1149
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
70.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
321.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

series998.0ms

Counts
4 → 12
Calls
4 calls:
340.0ms
(cbrt y)
288.0ms
(cbrt y)
248.0ms
(/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0))
121.0ms
(* (/ (/ 1 (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (/ (/ (/ 1.0 (cbrt x)) (cbrt y)) (fma z z 1.0)))

simplify3.6s

Counts
1161 → 1161
Iterations

Useful iterations: done (3.5s)

IterNodesCost
0160734940
1486332731
done500131679

prune5.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ 1.0 (* (fma z z 1.0) x))
2.4b
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
3.6b
(* (fma z z 1.0) x)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-exp-log add-cbrt-cube
10×associate-/l*
7×cbrt-undiv div-exp
6×div-inv
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*r* associate-*l* prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 93
Calls
3 calls:
13.0ms
(/ 1.0 (* (fma z z 1.0) x))
24.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
12.0ms
(* (fma z z 1.0) x)

series250.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(/ 1.0 (* (fma z z 1.0) x))
101.0ms
(/ (/ 1.0 (* (fma z z 1.0) x)) y)
79.0ms
(* (fma z z 1.0) x)

simplify1.3s

Counts
102 → 102
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01791418
14081375
212771205
done50001202

prune237.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 3.3b

regimes227.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01626
11926
done1926

end0.0ms

sample929.0ms

Algorithm
intervals
Results
552.0ms8614×body80valid