Details

Time bar (total: 9.5s)

sample39.0ms

Algorithm
intervals
Results
18.0ms140×pre10240exit
6.0ms256×body80valid
2.0ms116×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: 7.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
7.2b
(- (/ x0 (- 1.0 x1)) x0)

rewrite109.0ms

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))
82.0ms
(- (/ x0 (- 1.0 x1)) x0)

series128.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x0 (- 1.0 x1))
84.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify2.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (996.0ms)

IterNodesCost
0117677
1265641
2853613
33930601
done5001601

prune118.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ x0 (/ x0 (- 1.0 x1)))
6.0b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite123.0ms

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:
24.0ms
(/ x0 (- 1.0 x1))
29.0ms
(/ x0 (- 1.0 x1))
34.0ms
(+ x0 (/ x0 (- 1.0 x1)))
31.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series287.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ x0 (- 1.0 x1))
50.0ms
(/ x0 (- 1.0 x1))
61.0ms
(+ x0 (/ x0 (- 1.0 x1)))
117.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify943.0ms

Counts
111 → 111
Iterations

Useful iterations: done (939.0ms)

IterNodesCost
01521443
13931349
219371259
done50001257

prune271.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ x0 (/ x0 (- 1.0 x1)))
6.0b
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite143.0ms

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 distribute-rgt-in distribute-lft-in associate--l+ 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 → 102
Calls
4 calls:
20.0ms
(/ x0 (- 1.0 x1))
11.0ms
(/ x0 (- 1.0 x1))
23.0ms
(+ x0 (/ x0 (- 1.0 x1)))
82.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series390.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ x0 (- 1.0 x1))
51.0ms
(/ x0 (- 1.0 x1))
47.0ms
(+ x0 (/ x0 (- 1.0 x1)))
243.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify976.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (314.0ms)

IterNodesCost
01631657
14411583
222571495
done50011495

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 3.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ x0 (/ x0 (- 1.0 x1)))
3.6b
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
6.0b
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
24×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
9×log-prod
8×distribute-rgt-in distribute-lft-in associate--l+ add-log-exp
6×add-exp-log exp-sum add-cbrt-cube
5×pow1 associate-/r*
4×log-pow distribute-lft-out-- difference-of-squares
3×exp-prod associate-/l*
2×sub-neg flip3-- associate-/r/ flip--
1×cbrt-undiv +-commutative log-div frac-2neg flip3-+ exp-diff diff-log div-exp rem-log-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
4 → 87
Calls
4 calls:
11.0ms
(/ x0 (- 1.0 x1))
22.0ms
(+ x0 (/ x0 (- 1.0 x1)))
198.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
74.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series511.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1.0 x1))
42.0ms
(+ x0 (/ x0 (- 1.0 x1)))
217.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
215.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify1.0s

Counts
99 → 99
Iterations

Useful iterations: 2 (339.0ms)

IterNodesCost
02102062
15351960
225811812
done50001812

prune270.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 3.7b

regimes45.0ms

Accuracy

0% (1.1b remaining)

Error of 5.1b against oracle of 4.0b and baseline of 5.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02049
12649
done2649

end0.0ms

sample1.2s

Algorithm
intervals
Results
470.0ms4006×pre10240exit
353.0ms3994×pre80true
201.0ms8000×body80valid