Details

Time bar (total: 17.1s)

sample38.0ms

Algorithm
intervals
Results
12.0ms295×body80nan
10.0ms274×body80valid

simplify4.5s

Counts
1 → 1
Iterations
IterNodes
done5000
94987
82165
71360
6876
5580
4389
3184
262
124
012

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 3 expressions with local error:

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))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
29×add-sqr-sqrt
24×prod-diff
23×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in add-cbrt-cube add-exp-log
12×associate-*r*
10×pow1
7×distribute-lft-out
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×expm1-log1p-u times-frac log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv sub-neg div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out-- unswap-sqr
1×clear-num associate-/r* frac-2neg flip3-- div-inv flip-- difference-of-squares
Counts
3 → 102
Calls
3 calls:
173.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
7.0ms
(/ 1.0 (* x 9.0))
8.0ms
(* 3.0 (sqrt x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms
(/ 1.0 (* x 9.0))
49.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
111 → 111
Iterations
IterNodes
done5006
21946
1599
0212

prune368.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (sqrt x))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
26×add-sqr-sqrt
24×prod-diff
20×add-cube-cbrt
15×distribute-rgt-in distribute-lft-in
12×associate-*r*
9×pow1 add-cbrt-cube add-exp-log
7×distribute-lft-out
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×expm1-log1p-u sub-neg associate--l+ associate-*r/ *-commutative log1p-expm1-u distribute-lft-out-- add-log-exp unswap-sqr
1×flip3-- flip-- difference-of-squares
Counts
2 → 79
Calls
2 calls:
135.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
8.0ms
(* 3.0 (sqrt x))

series128.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 0.1111111111111111 x)) 1.0))
59.0ms
(* 3.0 (sqrt x))

simplify1.3s

Counts
85 → 85
Iterations
IterNodes
done5007
21315
1498
0172

prune277.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite379.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
75×distribute-rgt-in distribute-lft-in
72×prod-diff
54×add-sqr-sqrt
48×add-cube-cbrt
19×distribute-lft-out
9×pow1 add-cbrt-cube associate-*l* add-exp-log
7×associate-*r*
6×sub-neg associate--l+ associate-*r/
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- distribute-lft-out-- add-log-exp unswap-sqr
1×difference-of-squares
Counts
2 → 141
Calls
2 calls:
182.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
191.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
90.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify1.3s

Counts
147 → 147
Iterations
IterNodes
done5000
21455
1573
0218

prune391.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
0.3b
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
0.4b
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

rewrite898.0ms

Algorithm
rewrite-expression-head
Rules
255×distribute-rgt-in distribute-lft-in
195×*-un-lft-identity
168×prod-diff
112×add-sqr-sqrt
106×add-cube-cbrt
43×distribute-lft-out
31×pow1 add-exp-log
19×add-cbrt-cube pow-prod-down prod-exp cbrt-unprod
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
8×associate-*r*
4×sqrt-prod
3×cbrt-prod expm1-log1p-u flip3-- *-commutative log1p-expm1-u flip-- add-log-exp
2×distribute-lft-out-- unswap-sqr
1×difference-of-squares
Counts
3 → 296
Calls
3 calls:
168.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
533.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
178.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series382.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
129.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))))
172.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify2.7s

Counts
305 → 305
Iterations
IterNodes
done5001
23166
11260
0399

prune542.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes200.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample1.7s

Algorithm
intervals
Results
641.0ms8536×body80valid
620.0ms8543×body80nan