Details

Time bar (total: 11.9s)

sample28.0ms

Algorithm
intervals
Results
8.0ms274×body80valid
7.0ms234×body80nan

simplify116.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
24714
37514
49414
511514
613814
716914
821114
done21114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

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))

rewrite73.0ms

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:
53.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
3.0ms
(/ 1.0 (* x 9.0))
7.0ms
(* 3.0 (sqrt x))

series172.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
65.0ms
(/ y (* 3.0 (sqrt x)))
17.0ms
(/ 1.0 (* x 9.0))
45.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
166 → 166
Iterations

Useful iterations: done (1.2s)

IterNodesCost
03093815
17883279
230582669
done50002648

prune391.0ms

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 9.0) x)) (/ (/ y 3.0) (sqrt x)))
0.3b
(/ (/ y 3.0) (sqrt x))
0.3b
(/ (/ y 3.0) (sqrt x))
0.4b
(/ (/ 1.0 9.0) x)

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
1734×times-frac
1677×add-sqr-sqrt
1085×*-un-lft-identity
914×add-cube-cbrt
703×prod-diff
359×sqrt-prod
254×difference-of-squares
131×associate--l+
86×distribute-lft-out--
82×div-inv
39×associate-/l*
19×add-exp-log add-cbrt-cube
15×associate-/r*
9×cbrt-undiv div-exp add-log-exp
7×fma-neg
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg diff-log clear-num associate-/l/
2×sub-neg flip3-- frac-sub flip--
1×associate--l-
Counts
4 → 1037
Calls
4 calls:
242.0ms
(- (- 1.0 (/ (/ 1.0 9.0) x)) (/ (/ y 3.0) (sqrt x)))
7.0ms
(/ (/ y 3.0) (sqrt x))
7.0ms
(/ (/ y 3.0) (sqrt x))
6.0ms
(/ (/ 1.0 9.0) x)

series387.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (- 1.0 (/ (/ 1.0 9.0) x)) (/ (/ y 3.0) (sqrt x)))
58.0ms
(/ (/ y 3.0) (sqrt x))
261.0ms
(/ (/ y 3.0) (sqrt x))
18.0ms
(/ (/ 1.0 9.0) x)

simplify923.0ms

Counts
1049 → 1049
Iterations

Useful iterations: done (854.0ms)

IterNodesCost
0127753930
1332950142
done500149513

prune3.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite240.0ms

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:
202.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
4.0ms
(/ y (* 3.0 (sqrt x)))
5.0ms
(/ (/ 1.0 x) 9.0)
5.0ms
(* 3.0 (sqrt x))

series177.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ y (* 3.0 (sqrt x))))
65.0ms
(/ y (* 3.0 (sqrt x)))
16.0ms
(/ (/ 1.0 x) 9.0)
48.0ms
(* 3.0 (sqrt x))

simplify458.0ms

Counts
339 → 339
Iterations

Useful iterations: done (445.0ms)

IterNodesCost
056610014
115279010
done50008868

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
0.3b
(/ (/ 1.0 x) 9.0)
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
0.4b
(* (cbrt 3.0) (sqrt x))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
60×add-sqr-sqrt
52×add-cube-cbrt *-un-lft-identity
41×add-exp-log
28×add-cbrt-cube
18×pow1
17×prod-exp cbrt-unprod
16×associate-/l*
9×pow-prod-down
8×cbrt-undiv div-exp
7×associate-*r* associate-*l*
6×div-inv
5×cbrt-prod sqrt-prod
4×expm1-log1p-u associate-/r* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 154
Calls
4 calls:
19.0ms
(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
6.0ms
(/ (/ 1.0 x) 9.0)
18.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
6.0ms
(* (cbrt 3.0) (sqrt x))

series317.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ y (* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x))))
17.0ms
(/ (/ 1.0 x) 9.0)
86.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (sqrt x)))
73.0ms
(* (cbrt 3.0) (sqrt x))

simplify1.1s

Counts
166 → 166
Iterations

Useful iterations: done (1.1s)

IterNodesCost
03242192
18162047
234091668
done50001659

prune473.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes58.0ms

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
01523
11723
done1723

end0.0ms

sample762.0ms

Algorithm
intervals
Results
263.0ms8519×body80valid
237.0ms8535×body80nan