Details

Time bar (total: 11.5s)

sample15.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ insert-posit16 div-inv flip-- add-log-exp
Counts
1 → 46
Calls
1 calls:
29.0ms
(/ (+ x 1.0) (- 1.0 x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify1.4s

Counts
49 → 49
Iterations
IterNodes
done5004
31744
2563
1212
092

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(/ (+ 1.0 x) (- 1.0 x))
0.0b
(* (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
317×*-un-lft-identity
188×times-frac
167×add-sqr-sqrt
85×add-cube-cbrt
56×distribute-lft-out
48×swap-sqr
47×distribute-lft-out--
35×difference-of-squares
26×associate-*r* associate-*l*
22×add-cbrt-cube add-exp-log
15×associate-/r*
14×associate-/r/
12×associate-/l*
11×pow1
7×cbrt-undiv flip3-- div-exp div-inv flip--
6×associate-/l/
4×prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
3×clear-num frac-2neg flip3-+ flip-+
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 267
Calls
4 calls:
17.0ms
(/ (+ 1.0 x) (- 1.0 x))
17.0ms
(/ (+ 1.0 x) (- 1.0 x))
16.0ms
(/ (+ 1.0 x) (- 1.0 x))
44.0ms
(* (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)))

series166.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (+ 1.0 x) (- 1.0 x))
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
34.0ms
(/ (+ 1.0 x) (- 1.0 x))
56.0ms
(* (/ (+ 1.0 x) (- 1.0 x)) (/ (+ 1.0 x) (- 1.0 x)))

simplify1.6s

Counts
279 → 279
Iterations
IterNodes
done5000
22237
1640
0185

prune781.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* 1.0 (- 1.0 x)) (* x x))
0.1b
(* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x)))
17.5b
(/ (+ (pow x 3) (pow 1.0 3)) (* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
11×add-sqr-sqrt
10×add-cbrt-cube add-exp-log distribute-lft-out
9×times-frac associate-/l*
8×frac-times unpow-prod-down flip3-+ cube-prod associate-/r/ flip-+
7×add-cube-cbrt
6×flip3-- flip--
5×pow1 associate-*l* add-log-exp
4×associate-+l+ associate-*l/ associate-*r/
3×distribute-rgt-in distribute-lft-in associate-*r* insert-posit16
2×cbrt-undiv sub-neg div-exp prod-exp sum-cubes cbrt-unprod associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg pow-prod-down *-commutative div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 91
Calls
3 calls:
19.0ms
(+ (* 1.0 (- 1.0 x)) (* x x))
43.0ms
(* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x)))
44.0ms
(/ (+ (pow x 3) (pow 1.0 3)) (* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x))))

series173.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(+ (* 1.0 (- 1.0 x)) (* x x))
50.0ms
(* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x)))
92.0ms
(/ (+ (pow x 3) (pow 1.0 3)) (* (- 1.0 x) (+ (* 1.0 (- 1.0 x)) (* x x))))

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
done5002
22354
1501
0162

prune436.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- 1.0 x)) (* x x))
0.1b
(* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))
0.1b
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x))))
9.5b
(/ (+ (pow x 3) (pow 1.0 3)) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))))

rewrite323.0ms

Algorithm
rewrite-expression-head
Rules
78×sqrt-div
60×frac-times
39×flip3-- flip--
35×*-un-lft-identity
30×associate-*r/
26×associate-/r/
23×flip3-+ flip-+
20×add-cbrt-cube add-exp-log
19×add-sqr-sqrt
18×associate-*l/
16×associate-*l*
11×pow1 add-cube-cbrt sqrt-prod
10×distribute-lft-out
9×times-frac associate-/l*
8×unpow-prod-down cube-prod
7×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
6×add-log-exp
4×associate-+l+ associate-*r* pow-prod-down insert-posit16
3×cbrt-undiv div-exp
2×sub-neg sum-cubes *-commutative distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×+-commutative clear-num associate-/r* sum-log frac-2neg div-inv
Counts
4 → 169
Calls
4 calls:
11.0ms
(+ (* 1.0 (- 1.0 x)) (* x x))
71.0ms
(* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))
96.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x))))
142.0ms
(/ (+ (pow x 3) (pow 1.0 3)) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))))

series329.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ (* 1.0 (- 1.0 x)) (* x x))
136.0ms
(* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))
70.0ms
(* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x))))
101.0ms
(/ (+ (pow x 3) (pow 1.0 3)) (* (sqrt (- 1.0 x)) (* (sqrt (- 1.0 x)) (+ (* 1.0 (- 1.0 x)) (* x x)))))

simplify2.6s

Counts
181 → 181
Iterations
IterNodes
done5002
23805
1856
0280

prune821.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample688.0ms

Algorithm
intervals
Results
535.0ms8000×body80valid