Details

Time bar (total: 6.0s)

sample28.0ms

Algorithm
intervals
Results
16.0ms323×body80valid
1.0ms9×body640valid
1.0ms4×body1280valid
1.0ms5×body320valid

simplify111.0ms

Counts
1 → 1
Iterations
IterNodes
done164
5164
4139
374
231
114
07

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* (* 3.0 (- 2.0 (* x 3.0))) x)
0.1b
(* 3.0 (- 2.0 (* x 3.0)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*r* add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×sub-neg flip3-- insert-posit16 flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative
1×diff-log unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(- 2.0 (* x 3.0))
36.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
15.0ms
(* 3.0 (- 2.0 (* x 3.0)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- 2.0 (* x 3.0))
123.0ms
(* (* 3.0 (- 2.0 (* x 3.0))) x)
82.0ms
(* 3.0 (- 2.0 (* x 3.0)))

simplify617.0ms

Counts
68 → 68
Iterations
IterNodes
done2003
2827
1237
093

prune184.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 2.0 (* x 3.0))
0.1b
(* 3.0 (* (- 2.0 (* x 3.0)) x))
0.1b
(* (- 2.0 (* x 3.0)) x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×*-un-lft-identity associate-*l* add-cube-cbrt
5×add-log-exp
4×associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
3×flip3-- insert-posit16 flip--
2×associate-*r/ *-commutative
1×sub-neg diff-log unswap-sqr
Counts
3 → 55
Calls
3 calls:
6.0ms
(- 2.0 (* x 3.0))
34.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
19.0ms
(* (- 2.0 (* x 3.0)) x)

series564.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(- 2.0 (* x 3.0))
99.0ms
(* 3.0 (* (- 2.0 (* x 3.0)) x))
409.0ms
(* (- 2.0 (* x 3.0)) x)

simplify593.0ms

Counts
64 → 64
Iterations
IterNodes
done2003
2751
1216
089

prune187.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x 6.0) (* (* x x) 9.0))
0.2b
(* (* x x) 9.0)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×insert-posit16
1×sub-neg flip3-- diff-log associate-*l* *-commutative flip-- unswap-sqr
Counts
2 → 33
Calls
2 calls:
8.0ms
(- (* x 6.0) (* (* x x) 9.0))
15.0ms
(* (* x x) 9.0)

series143.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(- (* x 6.0) (* (* x x) 9.0))
34.0ms
(* (* x x) 9.0)

simplify478.0ms

Counts
39 → 39
Iterations
IterNodes
done2000
2552
1171
064

prune99.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
0.1b
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
0.2b
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
0.3b
(* (* x 3.0) (* x 3.0))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
47×pow1
32×add-cbrt-cube add-exp-log
19×pow-prod-down
15×add-sqr-sqrt
14×prod-exp cbrt-unprod
13×associate-*l*
11×*-un-lft-identity add-cube-cbrt
8×associate-*r*
6×times-frac
4×cbrt-undiv div-exp associate-*r/ associate-/r/ pow-sqr pow-prod-up insert-posit16 add-log-exp
3×associate-/r* *-commutative
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ pow-plus flip3-- flip-+ div-inv flip-- unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg swap-sqr associate-*l/ associate-/l* difference-of-squares
Counts
4 → 117
Calls
4 calls:
29.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
45.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
29.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
21.0ms
(* (* x 3.0) (* x 3.0))

series557.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0))))
242.0ms
(* (/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0))) x)
163.0ms
(/ (* 3.0 (- (* 2.0 2.0) (* (* x 3.0) (* x 3.0)))) (+ 2.0 (* x 3.0)))
40.0ms
(* (* x 3.0) (* x 3.0))

simplify556.0ms

Counts
129 → 129
Iterations
IterNodes
done2000
1497
0170

prune321.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes32.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample930.0ms

Algorithm
intervals
Results
639.0ms9912×body80valid
73.0ms309×body1280valid
71.0ms253×body640valid
18.0ms129×body320valid
7.0ms74×body160valid