Details

Time bar (total: 20.2s)

sample91.0ms

Algorithm
intervals
Results
25.0ms308×body80nan
22.0ms273×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01214
12414
26414
318014
438614
574814
6173814
done500114

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize38.0ms

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

rewrite394.0ms

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:
23.0ms
(+ y (/ 1.0 (* x 9.0)))
330.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
18.0ms
(* 3.0 (sqrt x))
18.0ms
(/ 1.0 (* x 9.0))

series293.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ y (/ 1.0 (* x 9.0)))
116.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ 1.0 (* x 9.0))) 1.0))
82.0ms
(* 3.0 (sqrt x))
38.0ms
(/ 1.0 (* x 9.0))

simplify2.4s

Counts
96 → 96
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01781134
14831048
22610942
done5001934

prune610.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite680.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
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
3×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r*
2×sub-neg associate-*r/ associate--l+ *-commutative distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ associate-/l/ difference-of-squares
Counts
4 → 133
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
22.0ms
(/ (/ 1.0 x) 9.0)
583.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
19.0ms
(* 3.0 (sqrt x))

series247.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ (/ 1.0 x) 9.0))
28.0ms
(/ (/ 1.0 x) 9.0)
102.0ms
(* (* 3.0 (sqrt x)) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
68.0ms
(* 3.0 (sqrt x))

simplify2.4s

Counts
145 → 145
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02781811
17441681
237421573
done50021569

prune895.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
75×times-frac
57×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
16×add-exp-log add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
13×associate-/l*
11×pow1
9×associate-*l*
7×associate-*r*
6×sub-neg associate-*r/ associate--l+ add-log-exp
5×div-inv
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×cbrt-undiv div-exp associate-/r*
2×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out-- unswap-sqr
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l/ difference-of-squares
Counts
4 → 147
Calls
4 calls:
45.0ms
(+ y (/ (/ 1.0 x) 9.0))
747.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
19.0ms
(/ (/ 1.0 x) 9.0)
553.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ y (/ (/ 1.0 x) 9.0))
94.0ms
(* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0))
36.0ms
(/ (/ 1.0 x) 9.0)
112.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ (/ 1.0 x) 9.0)) 1.0)))

simplify2.2s

Counts
159 → 159
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02782241
17302129
233831985
done50021979

prune947.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0b

localize31.0ms

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)))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
15×distribute-rgt-in distribute-lft-in
12×add-sqr-sqrt
11×*-un-lft-identity
9×pow1 add-exp-log associate-*l* add-cbrt-cube
7×associate-*r*
6×add-cube-cbrt sub-neg associate-*r/ associate--l+
4×pow-prod-down prod-exp sqrt-prod cbrt-unprod
2×flip3-- *-commutative flip-- distribute-lft-out-- add-log-exp unswap-sqr
1×distribute-lft-out difference-of-squares
Counts
2 → 65
Calls
2 calls:
242.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
223.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

series173.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0))
87.0ms
(* 3.0 (* (sqrt x) (- (+ y (/ 0.1111111111111111 x)) 1.0)))

simplify808.0ms

Counts
71 → 71
Iterations

Useful iterations: done (805.0ms)

IterNodesCost
01181060
13071030
21386932
done5002926

prune288.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0b

regimes239.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11412
done1412

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s8557×body80valid
742.0ms8592×body80nan