Details

Time bar (total: 9.4s)

sample70.0ms

Algorithm
intervals
Results
34.0ms130×pre10240exit
10.0ms256×body80valid
4.0ms126×pre80true

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2127
done127

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.7b
(- (/ x0 (- 1.0 x1)) x0)

rewrite145.0ms

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:
23.0ms
(/ x0 (- 1.0 x1))
118.0ms
(- (/ x0 (- 1.0 x1)) x0)

series141.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ x0 (- 1.0 x1))
76.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify2.1s

Counts
58 → 58
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0117677
1265641
2853613
33930601
done5001601

prune149.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.4b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
45×times-frac
34×add-cube-cbrt
15×associate-/r*
13×difference-of-squares
12×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×associate-/r/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×sub-neg diff-log
Counts
4 → 124
Calls
4 calls:
23.0ms
(/ x0 (- 1.0 x1))
23.0ms
(/ x0 (- 1.0 x1))
24.0ms
(/ x0 (- 1.0 x1))
55.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series247.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ x0 (- 1.0 x1))
60.0ms
(/ x0 (- 1.0 x1))
44.0ms
(/ x0 (- 1.0 x1))
101.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify848.0ms

Counts
136 → 136
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
01291682
13241620
215431492
done50011450

prune334.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ x0 (/ x0 (- 1.0 x1)))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.4b
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

rewrite127.0ms

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:
24.0ms
(+ x0 (/ x0 (- 1.0 x1)))
19.0ms
(/ x0 (- 1.0 x1))
21.0ms
(/ x0 (- 1.0 x1))
59.0ms
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

series259.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ x0 (/ x0 (- 1.0 x1)))
48.0ms
(/ x0 (- 1.0 x1))
46.0ms
(/ x0 (- 1.0 x1))
110.0ms
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

simplify1.1s

Counts
110 → 110
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01591500
14171426
220271344
done50001280

prune326.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
1.0b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
1.0b
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
6.4b
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

rewrite168.0ms

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:
32.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
34.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
37.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
62.0ms
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

series701.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
193.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
196.0ms
(cbrt (+ x0 (/ x0 (- 1.0 x1))))
102.0ms
(- (* (/ x0 (- 1.0 x1)) (/ (sqrt x0) (/ (- 1.0 x1) (sqrt x0)))) (* x0 x0))

simplify787.0ms

Counts
66 → 66
Iterations

Useful iterations: done (783.0ms)

IterNodesCost
01311436
13591383
214851256
done50001096

prune281.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 5.0b

regimes44.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01646
11946
done1946

end0.0ms

sample1.3s

Algorithm
intervals
Results
732.0ms4038×pre10240exit
246.0ms8000×body80valid
87.0ms3962×pre80true