Details

Time bar (total: 13.3s)

sample55.0ms

Algorithm
intervals
Results
16.0ms272×body80valid
13.0ms240×body80nan

simplify159.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
24714
37114
48314
59014
610514
712514
813614
done13614

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
21×prod-diff
16×add-exp-log add-cbrt-cube
15×times-frac
6×pow1 associate-*r* associate-/l* add-log-exp
5×div-inv
4×cbrt-undiv expm1-log1p-u div-exp sqrt-prod log1p-expm1-u
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num associate-/r* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 110
Calls
4 calls:
17.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
12.0ms
(/ 1.0 (* x 9.0))
10.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(* 3.0 (sqrt x))

series171.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
18.0ms
(/ 1.0 (* x 9.0))
67.0ms
(/ y (* 3.0 (sqrt x)))
42.0ms
(* 3.0 (sqrt x))

simplify1.6s

Counts
122 → 122
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02421742
15671480
216271157
done50011000

prune294.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite345.0ms

Algorithm
rewrite-expression-head
Rules
828×times-frac
722×add-sqr-sqrt
711×*-un-lft-identity
538×add-cube-cbrt
452×prod-diff
239×sqrt-prod
89×difference-of-squares
87×distribute-lft-out--
50×div-inv
23×associate--l+
16×associate-/l*
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×fma-neg
7×associate-/r*
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×sub-neg flip3-- flip--
2×frac-2neg clear-num frac-sub
1×associate--l- prod-exp cbrt-unprod associate-/l/
Counts
4 → 640
Calls
4 calls:
21.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
211.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
8.0ms
(/ 1.0 (* x 9.0))
19.0ms
(/ (/ y 3.0) (sqrt x))

series197.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
57.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ (/ y 3.0) (sqrt x)))
27.0ms
(/ 1.0 (* x 9.0))
70.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.3s

Counts
652 → 652
Iterations

Useful iterations: done (1.3s)

IterNodesCost
093234751
1233431614
done500024865

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.2b
(/ 1 (sqrt x))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* (/ y 3.0) (/ 1 (sqrt x)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
70×times-frac
61×*-un-lft-identity
55×add-cube-cbrt
35×add-exp-log
25×sqrt-prod
23×add-cbrt-cube
22×associate-*r*
21×prod-diff
13×associate-*l*
12×div-exp
10×unswap-sqr
9×prod-exp
8×pow1
7×cbrt-undiv associate-/r* div-inv
6×associate-/l* add-log-exp
5×cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×rec-exp pow-flip fma-neg 1-exp
2×frac-2neg clear-num
1×frac-times sub-neg flip3-- sqrt-pow1 pow1/2 diff-log associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative flip-- distribute-lft-out-- inv-pow difference-of-squares
Counts
4 → 182
Calls
4 calls:
24.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
13.0ms
(/ 1 (sqrt x))
20.0ms
(/ 1.0 (* x 9.0))
53.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))

series184.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
34.0ms
(/ 1 (sqrt x))
27.0ms
(/ 1.0 (* x 9.0))
76.0ms
(* (/ y 3.0) (/ 1 (sqrt x)))

simplify1.5s

Counts
194 → 194
Iterations

Useful iterations: done (1.5s)

IterNodesCost
03302659
18192137
221591728
done50001571

prune568.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 1.0 (/ 1.0 (* x 9.0)))
0.0b
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
0.2b
(/ 1.0 (* x 9.0))
0.3b
(* (/ y 3.0) (pow x -1/2))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
50×*-un-lft-identity
47×prod-diff
44×add-cube-cbrt
33×times-frac
23×associate--l+
22×add-exp-log
14×add-cbrt-cube
13×associate-*l*
11×add-log-exp
8×fma-neg div-inv
7×associate-*r* prod-exp
6×unswap-sqr
5×unpow-prod-down div-exp
4×pow1 expm1-log1p-u diff-log log1p-expm1-u
3×cbrt-undiv sub-neg flip3-- associate-*l/ flip-- cbrt-unprod associate-/l* distribute-lft-out-- difference-of-squares sqr-pow
2×pow-to-exp pow-exp frac-sub
1×associate--l- frac-2neg clear-num associate-/r* *-commutative
Counts
4 → 159
Calls
4 calls:
28.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
164.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
9.0ms
(/ 1.0 (* x 9.0))
27.0ms
(* (/ y 3.0) (pow x -1/2))

series240.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- 1.0 (/ 1.0 (* x 9.0)))
61.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (* (/ y 3.0) (pow x -1/2)))
32.0ms
(/ 1.0 (* x 9.0))
96.0ms
(* (/ y 3.0) (pow x -1/2))

simplify1.6s

Counts
171 → 171
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02873234
17022786
221892250
done50001973

prune715.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02340
12940
done2940

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s8540×body80valid
544.0ms8314×body80nan