Details

Time bar (total: 8.9s)

sample19.0ms

Algorithm
intervals
Results
7.0ms274×body80valid

simplify101.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.6b

localize11.0ms

Local error

Found 2 expressions with local error:

2.9b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.8b
(* y (+ 1.0 (* z z)))

rewrite34.0ms

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×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u 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 → 74
Calls
2 calls:
16.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
15.0ms
(* y (+ 1.0 (* z z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
64.0ms
(* y (+ 1.0 (* z z)))

simplify1.1s

Counts
80 → 80
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01601102
14021075
21337856
done5001854

prune433.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
2.6b
(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
3.8b
(* (fma z z 1.0) y)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
100×add-exp-log
52×add-cbrt-cube
48×div-exp
33×prod-exp
28×cbrt-undiv
21×cbrt-unprod
19×times-frac
17×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity associate-*l*
8×1-exp
7×pow1 associate-/l*
6×associate-*r*
4×div-inv
3×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ *-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/r/ associate-/l/
Counts
3 → 113
Calls
3 calls:
31.0ms
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
23.0ms
(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
7.0ms
(* (fma z z 1.0) y)

series391.0ms

Counts
3 → 9
Calls
3 calls:
163.0ms
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x))
175.0ms
(* (/ (* (fma z z 1.0) y) (cbrt 1.0)) x)
52.0ms
(* (fma z z 1.0) y)

simplify1.3s

Counts
122 → 122
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02152475
15142193
220791582
done50001400

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 2 expressions with local error:

3.0b
(* (/ 1.0 x) (/ (/ 1 y) (fma z z 1.0)))
4.0b
(/ (/ 1 y) (fma z z 1.0))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
114×add-sqr-sqrt
88×*-un-lft-identity
86×add-cube-cbrt
46×add-exp-log
43×associate-*r*
28×add-cbrt-cube
23×div-exp
13×associate-*l* associate-/l*
12×cbrt-undiv
10×prod-exp div-inv
8×unswap-sqr
6×cbrt-unprod
4×pow1
3×rec-exp 1-exp associate-/r*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l/
Counts
2 → 168
Calls
2 calls:
42.0ms
(* (/ 1.0 x) (/ (/ 1 y) (fma z z 1.0)))
15.0ms
(/ (/ 1 y) (fma z z 1.0))

series145.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (/ 1.0 x) (/ (/ 1 y) (fma z z 1.0)))
69.0ms
(/ (/ 1 y) (fma z z 1.0))

simplify1.3s

Counts
174 → 174
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02842989
17742651
220862344
done50002326

prune382.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1.0 x) y)
5.9b
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

rewrite57.0ms

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:
14.0ms
(/ (/ 1.0 x) y)
24.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

series102.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (/ 1.0 x) y)
70.0ms
(/ (/ (/ 1.0 x) y) (fma z z 1.0))

simplify1.5s

Counts
272 → 272
Iterations

Useful iterations: done (1.5s)

IterNodesCost
04715328
110665051
228244931
done50004929

prune840.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 4.4b

regimes134.0ms

Accuracy

0% (1.8b remaining)

Error of 6.7b against oracle of 4.9b and baseline of 6.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01319
11717
done1717

end0.0ms

sample470.0ms

Algorithm
intervals
Results
229.0ms8644×body80valid