Details

Time bar (total: 13.2s)

sample23.0ms

Algorithm
intervals
Results
10.0ms276×body80valid

simplify188.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0911
12111
24010
36710
410010
513010
613210
done13210

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.0b

localize18.0ms

Local error

Found 2 expressions with local error:

3.2b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.6b
(* y (+ 1.0 (* z z)))

rewrite43.0ms

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:
17.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
23.0ms
(* y (+ 1.0 (* z z)))

series164.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
77.0ms
(* y (+ 1.0 (* z z)))

simplify1.6s

Counts
80 → 80
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01601102
14021075
21337856
done5001854

prune287.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 2 expressions with local error:

2.5b
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
3.7b
(/ (/ 1 x) (fma z z 1.0))

rewrite130.0ms

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:
82.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
24.0ms
(/ (/ 1 x) (fma z z 1.0))

series204.0ms

Counts
2 → 6
Calls
2 calls:
119.0ms
(* (/ 1.0 y) (/ (/ 1 x) (fma z z 1.0)))
86.0ms
(/ (/ 1 x) (fma z z 1.0))

simplify1.9s

Counts
174 → 174
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02852989
17732651
220662344
done50002326

prune580.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.8b

localize14.0ms

Local error

Found 2 expressions with local error:

2.5b
(/ (/ (cbrt 1.0) y) (* (fma z z 1.0) x))
3.6b
(* (fma z z 1.0) x)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
32×add-sqr-sqrt
30×add-cube-cbrt *-un-lft-identity
22×associate-/l*
18×cbrt-prod
16×add-exp-log
14×add-cbrt-cube
6×cbrt-undiv div-exp
4×pow1
3×associate-*r* associate-*l* prod-exp cbrt-unprod div-inv
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ unswap-sqr
Counts
2 → 86
Calls
2 calls:
38.0ms
(/ (/ (cbrt 1.0) y) (* (fma z z 1.0) x))
14.0ms
(* (fma z z 1.0) x)

series319.0ms

Counts
2 → 6
Calls
2 calls:
250.0ms
(/ (/ (cbrt 1.0) y) (* (fma z z 1.0) x))
69.0ms
(* (fma z z 1.0) x)

simplify1.7s

Counts
92 → 92
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01831330
13971299
213741173
done50001170

prune357.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (* (fma z z 1.0) x))
2.5b
(/ (/ 1 (* (fma z z 1.0) x)) y)
3.6b
(* (fma z z 1.0) x)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-exp-log
25×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×add-cbrt-cube
15×div-exp
10×associate-/l*
8×pow1
7×cbrt-undiv prod-exp
6×div-inv
4×rec-exp 1-exp associate-/r*
3×expm1-log1p-u associate-*r* associate-*l* cbrt-unprod log1p-expm1-u add-log-exp
2×pow-flip frac-2neg pow-prod-down clear-num
1×*-commutative associate-/l/ inv-pow unswap-sqr
Counts
3 → 104
Calls
3 calls:
12.0ms
(/ 1 (* (fma z z 1.0) x))
35.0ms
(/ (/ 1 (* (fma z z 1.0) x)) y)
20.0ms
(* (fma z z 1.0) x)

series225.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(/ 1 (* (fma z z 1.0) x))
81.0ms
(/ (/ 1 (* (fma z z 1.0) x)) y)
63.0ms
(* (fma z z 1.0) x)

simplify3.4s

Counts
113 → 113
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01761498
13891392
210751220
343431217
done50001217

prune279.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.8b

regimes220.0ms

Accuracy

0% (1.5b remaining)

Error of 6.3b against oracle of 4.8b and baseline of 6.3b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01319
11717
done1717

end0.0ms

sample1.4s

Algorithm
intervals
Results
943.0ms8567×body80valid