Details

Time bar (total: 10.4s)

sample60.0ms

Algorithm
intervals
Results
33.0ms143×pre10240exit
11.0ms256×body80valid
4.0ms113×pre80true

simplify7.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
112
06

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1 x1))
7.5b
(- (/ x0 (- 1 x1)) x0)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
27×*-un-lft-identity
19×times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 58
Calls
2 calls:
8.0ms
(/ x0 (- 1 x1))
33.0ms
(- (/ x0 (- 1 x1)) x0)

series76.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ x0 (- 1 x1))
47.0ms
(- (/ x0 (- 1 x1)) x0)

simplify1.1s

Counts
64 → 64
Iterations
IterNodes
done2005
42005
31887
2672
1251
0121

prune245.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1 x1))
0.7b
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
0.8b
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
5.6b
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
47×add-cbrt-cube add-exp-log
46×*-un-lft-identity
37×times-frac
25×add-cube-cbrt
24×associate-*l*
18×pow1 prod-exp cbrt-unprod
14×cbrt-undiv div-exp difference-of-squares
11×add-log-exp
7×frac-times associate-*r/ distribute-lft-out--
6×associate-/r* frac-add
5×associate-*l/ pow-prod-up
4×flip3-+ associate-/r/ flip-+ insert-posit16
3×sum-log flip3-- cube-unmult pow-prod-down flip-- associate-/l*
2×div-inv unswap-sqr
1×pow2 difference-cubes +-commutative associate-+r+ clear-num sub-neg frac-2neg pow-plus diff-log associate-*r* pow-sqr *-commutative
Counts
4 → 146
Calls
4 calls:
11.0ms
(/ x0 (- 1 x1))
67.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
32.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
76.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

series304.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1 x1))
63.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
104.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
101.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

simplify1.1s

Counts
158 → 158
Iterations
IterNodes
done2000
22000
1892
0288

prune915.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.5b

localize51.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))
0.8b
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
5.6b
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt *-un-lft-identity
36×times-frac
26×add-cube-cbrt
16×difference-of-squares
12×associate-/r*
11×add-log-exp
8×add-cbrt-cube add-exp-log distribute-lft-out--
6×frac-add associate-/l*
4×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
3×sum-log flip3-- flip--
2×frac-times cbrt-undiv clear-num frac-2neg div-exp associate-*l/ associate-*r/ div-inv
1×+-commutative associate-+r+ sub-neg diff-log
Counts
4 → 117
Calls
4 calls:
8.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))
24.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
84.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series287.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x0 (- 1 x1))
39.0ms
(/ x0 (- 1 x1))
111.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
102.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify989.0ms

Counts
129 → 129
Iterations
IterNodes
done2001
22001
1578
0202

prune585.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.4b

localize56.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1 x1))
0.8b
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
2.2b
(log (exp (- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))))
5.6b
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite373.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt *-un-lft-identity
18×times-frac
17×add-cube-cbrt
11×add-log-exp
8×difference-of-squares
6×associate-/r* add-cbrt-cube frac-add add-exp-log
5×pow1 log-prod
4×flip3-+ log-pow flip-+ insert-posit16 distribute-lft-out--
3×exp-prod sum-log associate-/l*
2×frac-times sub-neg flip3-- exp-sum associate-*l/ associate-*r/ associate-/r/ flip--
1×cbrt-undiv +-commutative log-div associate-+r+ clear-num frac-2neg exp-diff diff-log div-exp rem-log-exp div-inv
Counts
4 → 94
Calls
4 calls:
12.0ms
(/ x0 (- 1 x1))
34.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
234.0ms
(log (exp (- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))))
91.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x0 (- 1 x1))
105.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
81.0ms
(log (exp (- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))))
88.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify920.0ms

Counts
106 → 106
Iterations
IterNodes
done2001
22001
1617
0228

prune571.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.3b

regimes121.0ms

Accuracy

0% (0.7b remaining)

Error of 5.9b against oracle of 5.2b and baseline of 5.9b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s3958×pre10240exit
420.0ms8000×body80valid
175.0ms4042×pre80true