Details

Time bar (total: 13.4s)

sample50.0ms

Algorithm
intervals
Results
15.0ms297×body80nan
13.0ms269×body80valid

simplify1.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
12414
26414
318014
438614
574814
6173814
done500114

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize11.0ms

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
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
12×associate-*r*
11×pow1
10×add-cube-cbrt
6×add-log-exp
5×prod-exp cbrt-unprod
4×associate-*l* pow-prod-down sqrt-prod
3×distribute-rgt-in distribute-lft-in times-frac associate-/l*
2×cbrt-undiv sub-neg associate-*r/ div-exp associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num associate-/r* sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 84
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
160.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
10.0ms
(* 3.0 (sqrt x))

series164.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(+ y (/ 1.0 (* x 9.0)))
68.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
24.0ms
(/ 1.0 (* x 9.0))
39.0ms
(* 3.0 (sqrt x))

simplify1.1s

Counts
96 → 96
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01781134
14831048
22605942
done5000940

prune252.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite391.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-exp-log add-sqr-sqrt add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num associate-/r* sum-log flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
11.0ms
(+ y (/ 1.0 (* x 9.0)))
197.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
10.0ms
(/ 1.0 (* x 9.0))
170.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series176.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ y (/ 1.0 (* x 9.0)))
59.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
17.0ms
(/ 1.0 (* x 9.0))
68.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01771564
14581496
220921356
done50001350

prune251.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
51×distribute-rgt-in distribute-lft-in
37×add-exp-log
32×pow1
25×add-cbrt-cube
20×prod-exp cbrt-unprod
19×pow-prod-down
17×add-sqr-sqrt
16×*-un-lft-identity
14×sub-neg associate--l+
13×associate-*l*
12×associate-*r/
11×add-cube-cbrt
8×associate-*r*
4×sqrt-prod add-log-exp
3×cbrt-prod flip3-- times-frac *-commutative flip-- associate-/l*
2×cbrt-undiv div-exp distribute-lft-out-- unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out difference-of-squares
Counts
4 → 143
Calls
4 calls:
583.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
193.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
8.0ms
(/ 1.0 (* x 9.0))
236.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))))
79.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms
(/ 1.0 (* x 9.0))
174.0ms
(* (cbrt 3.0) (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.5s

Counts
155 → 155
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02423222
17183156
233092505
done50002251

prune345.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt associate-*l*
8×prod-exp cbrt-unprod
7×associate-*r* pow-prod-down
4×associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×cbrt-undiv flip3-+ associate-*r/ div-exp flip-+
1×frac-2neg clear-num associate-/r* div-inv distribute-lft-out unswap-sqr
Counts
4 → 83
Calls
4 calls:
60.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
10.0ms
(/ 1.0 (* x 9.0))
28.0ms
(* (* 1.0 (sqrt x)) 3.0)
55.0ms
(* (sqrt x) (* (+ y (/ 1.0 (* x 9.0))) 3.0))

series181.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (+ y (/ 1.0 (* x 9.0))) 3.0)
20.0ms
(/ 1.0 (* x 9.0))
45.0ms
(* (* 1.0 (sqrt x)) 3.0)
76.0ms
(* (sqrt x) (* (+ y (/ 1.0 (* x 9.0))) 3.0))

simplify1.6s

Counts
95 → 95
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01731132
14731074
22584926
done5001912

prune343.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01827
13027
23827
34627
done4627

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.1s8659×body80nan
534.0ms8544×body80valid