Details

Time bar (total: 13.1s)

sample85.0ms

Algorithm
intervals
Results
49.0ms138×pre10240exit
16.0ms256×body80valid
5.0ms118×pre80true

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
112
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

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:
15.0ms
(/ x0 (- 1 x1))
70.0ms
(- (/ x0 (- 1 x1)) x0)

series95.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ x0 (- 1 x1))
47.0ms
(- (/ x0 (- 1 x1)) x0)

simplify1.4s

Counts
64 → 64
Iterations
IterNodes
done5000
31887
2672
1251
0121

prune201.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize35.0ms

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)))
5.5b
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

rewrite171.0ms

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:
15.0ms
(/ x0 (- 1 x1))
57.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
30.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
66.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x0 (- 1 x1))
72.0ms
(* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))))
98.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
95.0ms
(- (* (/ x0 (- 1 x1)) (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1)))) (* x0 (* x0 x0)))

simplify2.9s

Counts
158 → 158
Iterations
IterNodes
done5066
24411
1892
0288

prune580.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize43.0ms

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)))
5.5b
(- (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1))) (* x0 (* x0 x0)))

rewrite130.0ms

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))
25.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
86.0ms
(- (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1))) (* x0 (* x0 x0)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ x0 (- 1 x1))
33.0ms
(/ x0 (- 1 x1))
86.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
83.0ms
(- (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1))) (* x0 (* x0 x0)))

simplify1.8s

Counts
129 → 129
Iterations
IterNodes
done5006
22660
1576
0202

prune462.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize60.0ms

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

rewrite489.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt *-un-lft-identity
36×times-frac
26×add-cube-cbrt
17×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 → 118
Calls
4 calls:
8.0ms
(/ x0 (- 1 x1))
9.0ms
(/ x0 (- 1 x1))
26.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
444.0ms
(- (* (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1))) (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1)))) (* (* x0 (* x0 x0)) (* x0 (* x0 x0))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ x0 (- 1 x1))
28.0ms
(/ x0 (- 1 x1))
87.0ms
(+ (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (+ (* x0 x0) (* (/ x0 (- 1 x1)) x0)))
106.0ms
(- (* (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1))) (/ (/ (* x0 (* x0 x0)) (- 1 x1)) (* (- 1 x1) (- 1 x1)))) (* (* x0 (* x0 x0)) (* x0 (* x0 x0))))

simplify1.5s

Counts
130 → 130
Iterations
IterNodes
done5008
22800
1609
0207

prune521.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.8b

regimes105.0ms

Accuracy

0% (1.7b remaining)

Error of 5.5b against oracle of 3.8b and baseline of 5.5b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done29
129
022

end0.0ms

sample1.6s

Algorithm
intervals
Results
890.0ms4000×pre10240exit
408.0ms8000×body80valid
126.0ms4000×pre80true