Details

Time bar (total: 22.0s)

sample46.0ms

Algorithm
intervals
Results
19.0ms278×body80valid
11.0ms266×body80nan

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
done5001
61794
5791
4440
3188
264
124
012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite191.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
31×add-sqr-sqrt
25×add-cube-cbrt
24×prod-diff
16×add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
11×pow1
8×distribute-lft-out
6×add-log-exp
5×prod-exp cbrt-unprod
4×expm1-log1p-u associate-*l* pow-prod-down sqrt-prod log1p-expm1-u
3×fma-def times-frac associate-/l*
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip3-- flip-+ div-inv flip-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
10.0ms
(+ y (/ 1.0 (* x 9.0)))
163.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))

series191.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ y (/ 1.0 (* x 9.0)))
75.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
26.0ms
(/ 1.0 (* x 9.0))
46.0ms
(* 3.0 (sqrt x))

simplify2.1s

Counts
131 → 131
Iterations
IterNodes
done5001
23908
1658
0230

prune532.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite825.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
209×*-un-lft-identity
203×add-sqr-sqrt
199×add-cube-cbrt
131×associate-+r+
129×prod-diff
17×div-inv
16×add-cbrt-cube add-exp-log
13×associate-/l*
11×pow1
9×associate-*l* add-log-exp
6×associate-*r* associate-*r/
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u pow-prod-down prod-exp sqrt-prod cbrt-unprod log1p-expm1-u distribute-lft-out
3×cbrt-undiv associate-/r* fma-def flip3-+ div-exp flip-+
2×sum-log *-commutative distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-+r- sub-neg frac-2neg diff-log associate-/l/
Counts
4 → 279
Calls
4 calls:
115.0ms
(+ y (- (/ (/ 1.0 x) 9.0) 1.0))
408.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
273.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
11.0ms
(/ (/ 1.0 x) 9.0)

series240.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (- (/ (/ 1.0 x) 9.0) 1.0))
77.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
101.0ms
(* 3.0 (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))
31.0ms
(/ (/ 1.0 x) 9.0)

simplify2.1s

Counts
291 → 291
Iterations
IterNodes
done5000
24799
11268
0531

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* x 9.0))
0.3b
(/ 1.0 (* x 9.0))
0.3b
(* 3.0 (sqrt x))
0.5b
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×sqrt-prod
23×*-un-lft-identity add-cube-cbrt
21×pow1
18×times-frac add-cbrt-cube add-exp-log
16×associate-*r*
13×associate-*l*
12×swap-sqr
8×sqrt-pow1 pow1/2
6×div-inv associate-/l* unswap-sqr
5×pow-prod-up
4×expm1-log1p-u cbrt-undiv sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow-sqr
2×clear-num associate-/r* frac-2neg *-commutative
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ associate-*r/
Counts
4 → 136
Calls
4 calls:
7.0ms
(/ 1.0 (* x 9.0))
6.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))
52.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ 1.0 (* x 9.0))
30.0ms
(/ 1.0 (* x 9.0))
43.0ms
(* 3.0 (sqrt x))
63.0ms
(* (sqrt (/ 1.0 (* x 9.0))) (sqrt (/ 1.0 (* x 9.0))))

simplify1.2s

Counts
148 → 148
Iterations
IterNodes
done5002
22172
1431
0192

prune796.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
75×times-frac
56×*-un-lft-identity
55×add-sqr-sqrt
51×add-cube-cbrt
37×add-exp-log
32×pow1
25×add-cbrt-cube
19×pow-prod-down prod-exp cbrt-unprod
17×distribute-rgt-in distribute-lft-in
13×associate-*l* associate-/l*
12×associate-*r/
7×associate-*r*
5×div-inv
4×expm1-log1p-u sqrt-prod log1p-expm1-u add-log-exp
3×cbrt-prod cbrt-undiv associate-/r* flip3-+ div-exp *-commutative flip-+
2×distribute-lft-out unswap-sqr
1×clear-num frac-2neg distribute-lft-out-- associate-/l/
Counts
4 → 171
Calls
4 calls:
401.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
926.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))))
14.0ms
(/ (/ 1.0 x) 9.0)
305.0ms
(* (cbrt 3.0) (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

series415.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))
117.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0)))))
27.0ms
(/ (/ 1.0 x) 9.0)
204.0ms
(* (cbrt 3.0) (* (sqrt x) (+ y (- (/ (/ 1.0 x) 9.0) 1.0))))

simplify2.0s

Counts
183 → 183
Iterations
IterNodes
done5000
24113
1903
0319

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes149.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done23
123
017

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.1s8550×body80valid
561.0ms8443×body80nan