Details

Time bar (total: 13.1s)

sample32.0ms

Algorithm
intervals
Results
17.0ms349×body80valid

simplify41.0ms

Counts
1 → 1
Iterations
IterNodes
done44
444
338
223
110
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
distribute-rgt-in sub-neg distribute-lft-in associate-*r/
flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod insert-posit16 flip-- add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
16.0ms
(* x (- 1.0 (* x y)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* x (- 1.0 (* x y)))

simplify1.9s

Counts
28 → 28
Iterations
IterNodes
done5005
31879
2416
1133
052

prune103.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
0.7b
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
6.1b
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
22×associate-*r/
19×add-cbrt-cube add-exp-log
12×frac-times
10×distribute-rgt-in add-sqr-sqrt pow1 distribute-lft-in flip3-+ flip-+
flip3-- flip--
*-un-lft-identity add-cube-cbrt associate-/l/
prod-exp cbrt-unprod
sub-neg associate-*l* associate-*l/
associate-*r* pow-prod-down
cbrt-undiv associate-/r* times-frac div-exp insert-posit16 add-log-exp
associate-/r/ *-commutative
clear-num frac-2neg div-inv associate-/l* unswap-sqr
Counts
3 → 100
Calls
3 calls:
32.0ms
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
53.0ms
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
43.0ms
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

series253.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(* (+ 1.0 (* x y)) (- 1.0 (* x y)))
107.0ms
(* x (* (+ 1.0 (* x y)) (- 1.0 (* x y))))
58.0ms
(/ (* x (* (+ 1.0 (* x y)) (- 1.0 (* x y)))) (+ 1.0 (* x y)))

simplify2.0s

Counts
109 → 109
Iterations
IterNodes
done5018
22656
1500
0151

prune543.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ x (/ 1 (- 1.0 (* y x))))
0.1b
(/ 1 (- 1.0 (* y x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
54×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-/r*
15×add-exp-log
11×associate-/r/
add-cbrt-cube
div-exp
div-inv associate-/l*
flip3-- flip--
cbrt-undiv
pow1
rec-exp clear-num frac-2neg 1-exp insert-posit16 add-log-exp
pow-flip inv-pow
Counts
2 → 115
Calls
2 calls:
9.0ms
(/ x (/ 1 (- 1.0 (* y x))))
12.0ms
(/ 1 (- 1.0 (* y x)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ x (/ 1 (- 1.0 (* y x))))
53.0ms
(/ 1 (- 1.0 (* y x)))

simplify3.2s

Counts
121 → 121
Iterations
IterNodes
done5006
34931
21338
1513
0202

prune427.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize36.0ms

Local error

Found 3 expressions with local error:

0.1b
(/ x (+ 1.0 (* y x)))
0.1b
(* (+ 1.0 (* y x)) (- 1.0 (* y x)))
5.2b
(* (* (+ 1.0 (* y x)) (- 1.0 (* y x))) (/ x (+ 1.0 (* y x))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×frac-times *-un-lft-identity add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×times-frac associate-*r*
14×associate-*l/
11×flip3-+ flip-+
10×pow1
flip3-- flip--
prod-exp associate-*r/ cbrt-unprod
associate-*l* pow-prod-down associate-/r/
cbrt-undiv associate-/r* div-exp insert-posit16 associate-/l* add-log-exp
distribute-rgt-in sub-neg distribute-lft-in *-commutative div-inv
clear-num frac-2neg unswap-sqr
Counts
3 → 113
Calls
3 calls:
7.0ms
(/ x (+ 1.0 (* y x)))
21.0ms
(* (+ 1.0 (* y x)) (- 1.0 (* y x)))
40.0ms
(* (* (+ 1.0 (* y x)) (- 1.0 (* y x))) (/ x (+ 1.0 (* y x))))

series199.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ x (+ 1.0 (* y x)))
68.0ms
(* (+ 1.0 (* y x)) (- 1.0 (* y x)))
64.0ms
(* (* (+ 1.0 (* y x)) (- 1.0 (* y x))) (/ x (+ 1.0 (* y x))))

simplify2.5s

Counts
122 → 122
Iterations
IterNodes
done5001
23217
1631
0187

prune525.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample658.0ms

Algorithm
intervals
Results
453.0ms10649×body80valid