Details

Time bar (total: 25.4s)

sample58.0ms

Algorithm
intervals
Results
19.0ms266×body80nan
15.0ms273×body80valid

simplify148.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
0.3b
(* 3.0 (sqrt x))
0.3b
(/ y (* 3.0 (sqrt x)))
0.6b
(/ 1.0 (* x 9.0))

rewrite228.0ms

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:
177.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms
(* 3.0 (sqrt x))
14.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))

series204.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
42.0ms
(* 3.0 (sqrt x))
85.0ms
(/ y (* 3.0 (sqrt x)))
24.0ms
(/ 1.0 (* x 9.0))

simplify1.8s

Counts
166 → 166
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03093815
17643277
222752669
done50012254

prune459.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
0.3b
(/ (/ (- y) 3.0) (sqrt x))
0.6b
(/ 1.0 (* x 9.0))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
426×times-frac
232×add-sqr-sqrt *-un-lft-identity
230×add-cube-cbrt
105×sqrt-prod
63×distribute-lft-neg-in distribute-rgt-neg-in
37×associate-/l*
21×neg-mul-1 prod-diff
14×add-exp-log add-cbrt-cube
12×div-inv
7×associate-/r*
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-neg
2×frac-2neg div-sub distribute-frac-neg clear-num
1×neg-sub0 sub-neg flip3-- diff-log prod-exp flip-- cbrt-unprod fma-udef associate-/l/ distribute-lft-out-- difference-of-squares
Counts
4 → 336
Calls
4 calls:
26.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
0.0ms
(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
29.0ms
(/ (/ (- y) 3.0) (sqrt x))
8.0ms
(/ 1.0 (* x 9.0))

series200.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
61.0ms
(fma 1 (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ (- y) 3.0) (sqrt x)))
77.0ms
(/ (/ (- y) 3.0) (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

simplify1.8s

Counts
348 → 348
Iterations

Useful iterations: done (1.8s)

IterNodesCost
05726102
112895424
232125076
done50025033

prune959.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite501.0ms

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:
416.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
17.0ms
(/ (/ 1.0 x) 9.0)
15.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(* 3.0 (sqrt x))

series237.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
32.0ms
(/ (/ 1.0 x) 9.0)
81.0ms
(/ y (* 3.0 (sqrt x)))
62.0ms
(* 3.0 (sqrt x))

simplify2.2s

Counts
339 → 339
Iterations

Useful iterations: done (2.2s)

IterNodesCost
056610014
114619008
244847162
done50007160

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt x) (/ y (cbrt 3.0)))
0.3b
(/ y (cbrt 3.0))
0.6b
(/ (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
0.6b
(/ 1.0 (* x 9.0))

rewrite412.0ms

Algorithm
rewrite-expression-head
Rules
3572×times-frac
1418×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
597×sqrt-prod
507×cbrt-prod
205×div-inv
166×associate-/r*
52×add-exp-log
41×add-cbrt-cube
30×cbrt-undiv div-exp
19×associate-/l*
10×associate-/r/
4×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
4 → 1376
Calls
4 calls:
25.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
11.0ms
(/ y (cbrt 3.0))
114.0ms
(/ (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
14.0ms
(/ 1.0 (* x 9.0))

series467.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(/ (sqrt x) (/ y (cbrt 3.0)))
79.0ms
(/ y (cbrt 3.0))
153.0ms
(/ (/ -1 (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt x) (/ y (cbrt 3.0))))
28.0ms
(/ 1.0 (* x 9.0))

simplify4.8s

Counts
1388 → 1388
Iterations

Useful iterations: 1 (3.6s)

IterNodesCost
0181040578
1497637206
done500037206

prune6.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes91.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11314
done1314

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s8624×body80nan
721.0ms8526×body80valid