Details

Time bar (total: 8.6s)

sample33.0ms

Algorithm
intervals
Results
13.0ms137×pre10240exit
5.0ms256×body80valid
2.0ms119×pre80true

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2127
done127

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.6b
(- (/ x0 (- 1.0 x1)) x0)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
6×difference-of-squares
5×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
24.0ms
(/ x0 (- 1.0 x1))
78.0ms
(- (/ x0 (- 1.0 x1)) x0)

series122.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ x0 (- 1.0 x1))
74.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify2.3s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
0117677
1265641
2853613
33930601
done5001601

prune104.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(+ x0 (/ x0 (- 1.0 x1)))
6.3b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
9×difference-of-squares
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 99
Calls
4 calls:
21.0ms
(/ x0 (- 1.0 x1))
14.0ms
(/ x0 (- 1.0 x1))
26.0ms
(+ x0 (/ x0 (- 1.0 x1)))
43.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series305.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ x0 (- 1.0 x1))
48.0ms
(/ x0 (- 1.0 x1))
59.0ms
(+ x0 (/ x0 (- 1.0 x1)))
136.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify958.0ms

Counts
111 → 111
Iterations

Useful iterations: done (953.0ms)

IterNodesCost
01521443
13931349
219371259
done50001257

prune257.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(+ x0 (/ x0 (- 1.0 x1)))
6.3b
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 98
Calls
4 calls:
12.0ms
(/ x0 (- 1.0 x1))
11.0ms
(/ x0 (- 1.0 x1))
41.0ms
(+ x0 (/ x0 (- 1.0 x1)))
52.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series255.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ x0 (- 1.0 x1))
49.0ms
(/ x0 (- 1.0 x1))
40.0ms
(+ x0 (/ x0 (- 1.0 x1)))
114.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01521465
13971391
219631283
done50011277

prune239.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
0.9b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
0.9b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
6.3b
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 54
Calls
4 calls:
20.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
20.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
20.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
52.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series491.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
139.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
136.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
77.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify647.0ms

Counts
66 → 66
Iterations

Useful iterations: done (644.0ms)

IterNodesCost
01231401
13341348
215001175
done50011095

prune192.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.8b

regimes43.0ms

Accuracy

0% (1.0b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01644
12244
done2244

end0.0ms

sample1.0s

Algorithm
intervals
Results
458.0ms3894×pre10240exit
248.0ms8000×body80valid
90.0ms4106×pre80true