Details

Time bar (total: 44.1s)

sample92.0ms

Algorithm
intervals
Results
27.0ms316×body80nan
24.0ms277×body80valid

simplify6.7s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize98.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* 3.0 (sqrt x))
0.3b
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b
(/ 1.0 (* x 9.0))

rewrite565.0ms

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 insert-posit16
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 → 88
Calls
4 calls:
28.0ms
(+ y (/ 1.0 (* x 9.0)))
37.0ms
(* 3.0 (sqrt x))
465.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
29.0ms
(/ 1.0 (* x 9.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(+ y (/ 1.0 (* x 9.0)))
75.0ms
(* 3.0 (sqrt x))
92.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
34.0ms
(/ 1.0 (* x 9.0))

simplify3.7s

Counts
100 → 100
Iterations
IterNodes
done5000
21648
1485
0182

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize89.0ms

Local error

Found 4 expressions with local error:

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

rewrite795.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-cbrt-cube add-exp-log
13×associate-/l*
12×associate-*r*
11×pow1
6×add-log-exp
5×div-inv
4×associate-*l* pow-prod-down prod-exp sqrt-prod cbrt-unprod insert-posit16
3×distribute-rgt-in cbrt-undiv associate-/r* distribute-lft-in div-exp
2×sub-neg associate--l+ associate-*r/ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative clear-num sum-log frac-2neg flip3-+ flip3-- flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 137
Calls
4 calls:
49.0ms
(+ y (/ (/ 1.0 x) 9.0))
26.0ms
(/ (/ 1.0 x) 9.0)
32.0ms
(* 3.0 (sqrt x))
673.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

series218.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ y (/ (/ 1.0 x) 9.0))
27.0ms
(/ (/ 1.0 x) 9.0)
53.0ms
(* 3.0 (sqrt x))
89.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))

simplify4.2s

Counts
149 → 149
Iterations
IterNodes
done5003
22249
1727
0282

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize119.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ 1.0 (* x 9.0)))
0.3b
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
0.3b
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
0.5b
(/ 1.0 (* x 9.0))

rewrite1.1s

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 insert-posit16
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 → 102
Calls
4 calls:
41.0ms
(+ y (/ 1.0 (* x 9.0)))
494.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
499.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms
(/ 1.0 (* x 9.0))

series282.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ y (/ 1.0 (* x 9.0)))
102.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0)))
99.0ms
(* (sqrt x) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
21.0ms
(/ 1.0 (* x 9.0))

simplify3.1s

Counts
114 → 114
Iterations
IterNodes
done5008
21614
1461
0181

prune1.2s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize150.0ms

Local error

Found 4 expressions with local error:

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

rewrite924.0ms

Algorithm
rewrite-expression-head
Rules
728×times-frac
555×add-sqr-sqrt
439×cbrt-prod
345×*-un-lft-identity
343×add-cube-cbrt
289×associate-*r*
140×sqrt-prod
132×add-exp-log
74×add-cbrt-cube
58×cbrt-undiv div-exp unswap-sqr
51×associate-*l*
41×prod-exp cbrt-unprod
40×swap-sqr
18×pow1
13×div-inv
6×associate-/r*
5×pow-prod-down associate-*r/
4×insert-posit16 add-log-exp
3×distribute-rgt-in frac-times distribute-lft-in associate-*l/ *-commutative associate-/l/
2×sub-neg associate--l+
1×pow2 clear-num frac-2neg pow-plus flip3-- pow-sqr pow-prod-up flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 572
Calls
4 calls:
181.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) (cbrt 9.0)))) 1.0))
50.0ms
(/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x))
394.0ms
(* (/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) (cbrt 9.0)))
132.0ms
(* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0)))

series970.0ms

Counts
4 → 10
Calls
4 calls:
315.0ms
(* (* 3.0 (sqrt x)) (- (+ y (* (/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) (cbrt 9.0)))) 1.0))
359.0ms
(/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x))
295.0ms
(* (/ (* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0))) (sqrt x)) (/ (/ (cbrt 1.0) (sqrt x)) (cbrt 9.0)))
0.0ms
(* (/ (cbrt 1.0) (cbrt 9.0)) (/ (cbrt 1.0) (cbrt 9.0)))

simplify7.2s

Counts
582 → 582
Iterations
IterNodes
done5002
13457
0915

prune6.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes555.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.3s8490×body80nan
931.0ms8570×body80valid