Details

Time bar (total: 14.1s)

sample59.0ms

Algorithm
intervals
Results
20.0ms272×body80valid
16.0ms324×body80nan

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5006
92920
81615
7959
6645
5435
4318
3176
262
124
012

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize17.0ms

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))

rewrite144.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
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 div-exp associate--l+ associate-*r/ *-commutative distribute-lft-out 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 → 84
Calls
4 calls:
9.0ms
(+ y (/ 1.0 (* x 9.0)))
120.0ms
(* (* 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))

series209.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
84.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
28.0ms
(/ 1.0 (* x 9.0))
56.0ms
(* 3.0 (sqrt x))

simplify1.2s

Counts
96 → 96
Iterations
IterNodes
done5007
21635
1482
0178

prune389.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ 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 clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
8.0ms
(+ y (/ 1.0 (* x 9.0)))
155.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
9.0ms
(/ 1.0 (* x 9.0))
132.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ y (/ 1.0 (* x 9.0)))
66.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
19.0ms
(/ 1.0 (* x 9.0))
80.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))

simplify1.4s

Counts
110 → 110
Iterations
IterNodes
done5015
21610
1458
0177

prune411.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
15×distribute-rgt-in distribute-lft-in
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×sub-neg associate--l+ associate-*r/ 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 clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 98
Calls
4 calls:
23.0ms
(+ (/ 1.0 (* x 9.0)) y)
242.0ms
(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
6.0ms
(/ 1.0 (* x 9.0))
168.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ (/ 1.0 (* x 9.0)) y)
84.0ms
(* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0))
26.0ms
(/ 1.0 (* x 9.0))
91.0ms
(* 3.0 (* (sqrt x) (- (+ (/ 1.0 (* x 9.0)) y) 1.0)))

simplify1.3s

Counts
110 → 110
Iterations
IterNodes
done5004
21636
1462
0177

prune473.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite730.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt add-cbrt-cube add-exp-log
11×pow1
10×add-cube-cbrt
9×associate-*l*
7×associate-*r*
6×add-log-exp
5×prod-exp cbrt-unprod
4×pow-prod-down associate-*l/ sqrt-prod
3×times-frac associate-/l*
2×cbrt-undiv flip3-- div-exp associate-*r/ *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num associate-/r* sum-log frac-2neg flip3-+ flip-+ div-inv difference-of-squares
Counts
4 → 80
Calls
4 calls:
19.0ms
(+ (/ 1.0 (* x 9.0)) y)
352.0ms
(* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) (sqrt x))
6.0ms
(/ 1.0 (* x 9.0))
350.0ms
(* 3.0 (* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) (sqrt x)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(+ (/ 1.0 (* x 9.0)) y)
68.0ms
(* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) (sqrt x))
26.0ms
(/ 1.0 (* x 9.0))
95.0ms
(* 3.0 (* (- (+ (/ 1.0 (* x 9.0)) y) 1.0) (sqrt x)))

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
done5000
21404
1381
0155

prune412.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes190.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.8s

Algorithm
intervals
Results
893.0ms8633×body80nan
527.0ms8530×body80valid