Details

Time bar (total: 4.9s)

sample31.0ms

Algorithm
intervals
Results
8.0ms276×body80valid
7.0ms260×body80nan

simplify19.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0247
1477
2737
3927
41057
51287
61617
72107
82447
92447
done2447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))
0.5b
(/ 1.0 (* x 9.0))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
63×*-un-lft-identity
56×prod-diff
42×add-cube-cbrt
30×times-frac
23×associate--l+
16×add-exp-log add-cbrt-cube
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×sub-neg flip3-- frac-2neg clear-num associate-/r* frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
115.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))
10.0ms
(/ 1.0 (* x 9.0))

series164.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
55.0ms
(/ y (* 3.0 (sqrt x)))
40.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify102.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07682009
130771504
250021453
done50021453

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(* 3.0 (sqrt x))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
83×*-un-lft-identity
81×prod-diff
62×add-cube-cbrt
56×times-frac
41×associate--l+
17×difference-of-squares
11×distribute-lft-out--
10×add-exp-log add-cbrt-cube div-inv
8×add-log-exp
6×fma-neg associate-*r*
5×pow1
4×sqrt-prod
3×expm1-log1p-u diff-log associate-*l* log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-- div-exp prod-exp frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- frac-2neg pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 157
Calls
3 calls:
123.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
9.0ms
(* 3.0 (sqrt x))

series149.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ y (* 3.0 (sqrt x))))
56.0ms
(/ y (* 3.0 (sqrt x)))
41.0ms
(* 3.0 (sqrt x))

simplify91.0ms

Counts
166 → 166
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
08092384
131601682
250021591
done50021591

prune377.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
0.2b
(/ y (* 3.0 (sqrt x)))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* 3.0 (sqrt x))

rewrite309.0ms

Algorithm
rewrite-expression-head
Rules
321×times-frac
299×add-sqr-sqrt
242×*-un-lft-identity
221×add-cube-cbrt
178×prod-diff
131×associate--l+
25×div-inv difference-of-squares
16×add-exp-log add-cbrt-cube associate-/l*
11×distribute-lft-out--
9×add-log-exp
7×fma-neg
6×pow1 associate-*r*
5×cbrt-undiv div-exp
4×expm1-log1p-u associate-/r* sqrt-prod log1p-expm1-u
3×diff-log associate-*l*
2×sub-neg flip3-- frac-2neg prod-exp clear-num frac-sub flip-- cbrt-unprod unswap-sqr
1×associate--l- pow-prod-down *-commutative associate-/l/
Counts
4 → 327
Calls
4 calls:
252.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
9.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ (/ 1.0 x) 9.0)
14.0ms
(* 3.0 (sqrt x))

series181.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
64.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ (/ 1.0 x) 9.0)
38.0ms
(* 3.0 (sqrt x))

simplify83.0ms

Counts
339 → 339
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014975667
150014916
done50014916

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
1.0b
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
1.0b
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
59.7b
(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
28×pow1
27×pow-flip
18×pow1/3
13×add-cbrt-cube
12×div-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac prod-exp associate-/l*
6×cbrt-undiv rec-exp 1-exp pow-prod-down pow-sqr pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow2 frac-2neg pow-plus clear-num associate-/r* cbrt-unprod div-inv inv-pow
1×fma-udef
Counts
4 → 121
Calls
4 calls:
14.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
17.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
14.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
0.0ms
(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

series267.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
0.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
0.0ms
(/ 1 (* (cbrt 9.0) (cbrt 9.0)))
267.0ms
(fma (- (/ (/ 1.0 x) (cbrt 9.0))) (/ 1 (* (cbrt 9.0) (cbrt 9.0))) (* (/ (/ 1.0 x) (cbrt 9.0)) (/ 1 (* (cbrt 9.0) (cbrt 9.0)))))

simplify49.0ms

Counts
127 → 127
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0160762
1495636
21585566
35001515
done5001515

prune368.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137
done137

end0.0ms

sample842.0ms

Algorithm
intervals
Results
258.0ms8519×body80valid
231.0ms8411×body80nan