Details

Time bar (total: 9.7s)

sample62.0ms

Algorithm
intervals
Results
33.0ms137×pre10240exit
11.0ms256×body80valid
4.0ms119×pre80true

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
112
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1 x1))
7.3b
(- (/ x0 (- 1 x1)) x0)

rewrite49.0ms

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))
40.0ms
(- (/ x0 (- 1 x1)) x0)

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ x0 (- 1 x1))
42.0ms
(- (/ x0 (- 1 x1)) x0)

simplify1.1s

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

prune172.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize41.0ms

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)))
5.4b
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

rewrite160.0ms

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:
8.0ms
(/ x0 (- 1 x1))
51.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
30.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
67.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ x0 (- 1 x1))
60.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
100.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
107.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

simplify1.3s

Counts
158 → 158
Iterations
IterNodes
done2000
22000
1892
0288

prune667.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.3b

localize36.0ms

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)))
5.4b
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite165.0ms

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:
15.0ms
(/ x0 (- 1 x1))
15.0ms
(/ x0 (- 1 x1))
43.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
88.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series296.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ x0 (- 1 x1))
41.0ms
(/ x0 (- 1 x1))
107.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
119.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify977.0ms

Counts
129 → 129
Iterations
IterNodes
done2001
22001
1578
0202

prune511.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.2b

localize60.0ms

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)))))
5.4b
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

rewrite385.0ms

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:
11.0ms
(/ x0 (- 1 x1))
35.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
235.0ms
(log (exp (- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))))
101.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

series345.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1 x1))
103.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
99.0ms
(log (exp (- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))))
106.0ms
(- (/ (* x0 (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (- 1 x1)) (* x0 (* x0 x0)))

simplify914.0ms

Counts
106 → 106
Iterations
IterNodes
done2001
22001
1617
0228

prune455.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 5.1b

regimes85.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done26
126
019

end0.0ms

sample1.5s

Algorithm
intervals
Results
880.0ms4042×pre10240exit
349.0ms8000×body80valid
119.0ms3958×pre80true