Details

Time bar (total: 29.6s)

sample51.0ms

Algorithm
intervals
Results
18.0ms270×body80valid
13.0ms259×body80nan

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5001
94385
81130
7455
6200
5134
498
373
247
124
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

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-cbrt-cube add-exp-log
11×distribute-lft-out--
10×div-inv
9×add-log-exp difference-of-squares
6×pow1 associate-*r* associate-/l*
5×fma-neg
4×expm1-log1p-u cbrt-undiv div-exp sqrt-prod log1p-expm1-u
3×diff-log associate-*l* prod-exp cbrt-unprod
2×clear-num associate-/r* sub-neg frac-2neg flip3-- frac-sub flip-- unswap-sqr
1×associate--l- pow-prod-down *-commutative
Counts
4 → 154
Calls
4 calls:
145.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
14.0ms
(/ y (* 3.0 (sqrt x)))
12.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series206.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(- (- 1.0 (/ 1.0 (* x 9.0))) (/ y (* 3.0 (sqrt x))))
67.0ms
(/ y (* 3.0 (sqrt x)))
34.0ms
(/ 1.0 (* x 9.0))
48.0ms
(* 3.0 (sqrt x))

simplify2.3s

Counts
166 → 166
Iterations
IterNodes
done5000
24178
1814
0309

prune973.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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
(/ (/ y 3.0) (sqrt x))

rewrite454.0ms

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-cbrt-cube add-exp-log
15×associate-/r*
9×cbrt-undiv div-exp add-log-exp
7×fma-neg
4×expm1-log1p-u pow1 log1p-expm1-u
3×clear-num frac-2neg diff-log associate-/l/
2×sub-neg flip3-- frac-sub flip--
1×associate--l-
Counts
4 → 1037
Calls
4 calls:
320.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
9.0ms
(/ (/ 1.0 x) 9.0)
15.0ms
(/ (/ y 3.0) (sqrt x))
10.0ms
(/ (/ y 3.0) (sqrt x))

series248.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(- (- 1.0 (/ (/ 1.0 x) 9.0)) (/ (/ y 3.0) (sqrt x)))
33.0ms
(/ (/ 1.0 x) 9.0)
66.0ms
(/ (/ y 3.0) (sqrt x))
70.0ms
(/ (/ y 3.0) (sqrt x))

simplify2.0s

Counts
1049 → 1049
Iterations
IterNodes
done5000
13445
01277

prune8.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
25×add-sqr-sqrt
19×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×prod-diff
9×add-log-exp
6×pow1 times-frac associate-*r* associate-/l*
4×expm1-log1p-u cbrt-undiv div-exp sqrt-prod log1p-expm1-u distribute-lft-out
3×fma-neg associate-*l* prod-exp cbrt-unprod
2×clear-num associate-/r* frac-2neg diff-log div-inv distribute-lft-out-- unswap-sqr
1×sum-log sub-neg flip3-- pow-prod-down *-commutative flip-- associate--r+ difference-of-squares
Counts
4 → 104
Calls
4 calls:
120.0ms
(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x)))))
14.0ms
(/ y (* 3.0 (sqrt x)))
11.0ms
(/ 1.0 (* x 9.0))
14.0ms
(* 3.0 (sqrt x))

series264.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x)))))
89.0ms
(/ y (* 3.0 (sqrt x)))
34.0ms
(/ 1.0 (* x 9.0))
57.0ms
(* 3.0 (sqrt x))

simplify1.7s

Counts
116 → 116
Iterations
IterNodes
done5001
22674
1562
0227

prune732.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
1190×times-frac
1119×add-sqr-sqrt
859×*-un-lft-identity
688×add-cube-cbrt
531×prod-diff
320×sqrt-prod
171×difference-of-squares
86×distribute-lft-out--
61×div-inv
41×associate--l+
26×associate-/l*
13×add-cbrt-cube add-exp-log
12×associate-/r*
8×add-log-exp
6×cbrt-undiv fma-neg div-exp
3×expm1-log1p-u pow1 diff-log log1p-expm1-u
2×clear-num sub-neg frac-2neg flip3-- frac-sub flip-- associate-/l/
1×associate--l-
Counts
3 → 792
Calls
3 calls:
157.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
19.0ms
(/ (/ y 3.0) (sqrt x))
18.0ms
(/ (/ y 3.0) (sqrt x))

series261.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(- (- 1.0 (/ 0.1111111111111111 x)) (/ (/ y 3.0) (sqrt x)))
80.0ms
(/ (/ y 3.0) (sqrt x))
106.0ms
(/ (/ y 3.0) (sqrt x))

simplify1.7s

Counts
801 → 801
Iterations
IterNodes
done5001
12572
0972

prune5.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes229.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.0s

Algorithm
intervals
Results
883.0ms8414×body80nan
688.0ms8531×body80valid