Details

Time bar (total: 5.1s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
8.0ms
(/ (+ x 1.0) (- 1.0 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify885.0ms

Counts
48 → 48
Iterations

Useful iterations: 3 (152.0ms)

IterNodesCost
091630
1206607
2553569
31370560
43881560
done5000560

prune70.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New45348
Fresh000
Picked101
Done000
Total46349

Merged error: 0b

Counts
49 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))
0.0b
(/ (- 1.0 x) (+ x 1.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
12.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))
9.0ms
(/ (- 1.0 x) (+ x 1.0))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))
3.0ms
(/ (- 1.0 x) (+ x 1.0))

simplify436.0ms

Counts
180 → 180
Iterations

Useful iterations: done (430.0ms)

IterNodesCost
02273040
15542677
217852328
done50022324

prune151.0ms

Filtered
79 candidates to 180 candidates (-127.8%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1800180
Fresh022
Picked011
Done000
Total1803183

Merged error: 0b

Counts
183 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 1.0) (- 1.0 x))
0.0b
(exp (/ (+ x 1.0) (- 1.0 x)))
0.0b
(log (exp (/ (+ x 1.0) (- 1.0 x))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
93×*-un-lft-identity
61×add-sqr-sqrt
60×times-frac
52×exp-prod
35×add-cube-cbrt
27×log-pow
16×distribute-lft-out
13×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×add-exp-log associate-/r* add-cbrt-cube
4×pow1 associate-/l* add-log-exp
3×log-prod flip3-- flip-- div-inv
2×associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp rem-log-exp clear-num flip-+ rem-exp-log
Counts
3 → 117
Calls
3 calls:
12.0ms
(/ (+ x 1.0) (- 1.0 x))
10.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
11.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))

series12.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(/ (+ x 1.0) (- 1.0 x))
5.0ms
(exp (/ (+ x 1.0) (- 1.0 x)))
3.0ms
(log (exp (/ (+ x 1.0) (- 1.0 x))))

simplify1.0s

Counts
126 → 126
Iterations

Useful iterations: 4 (527.0ms)

IterNodesCost
01621517
13091377
27471291
318411259
448861257
done50001257

prune196.0ms

Filtered
86 candidates to 126 candidates (-46.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done011
Total1263129

Merged error: 0b

Counts
129 → 3

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
5.8b
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
15.8b
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
286×add-sqr-sqrt
257×*-un-lft-identity
201×times-frac
144×difference-of-squares
108×unpow-prod-down cube-prod
106×associate-*l*
72×sqr-pow
65×add-cube-cbrt
51×distribute-lft-out
45×distribute-lft-out--
25×associate-/r*
10×add-exp-log add-cbrt-cube
9×difference-cubes
5×pow1 add-log-exp
4×flip3-+ associate-/r/ flip-+ associate-/l*
3×associate-*r*
2×cbrt-undiv frac-times flip3-- associate-*r/ div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in distribute-rgt-out frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
3 → 288
Calls
3 calls:
4.0ms
(+ (* x x) (* 1.0 x))
19.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
41.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series23.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ (* x x) (* 1.0 x))
10.0ms
(/ (+ x 1.0) (- (pow 1.0 3) (pow x 3)))
7.0ms
(* (/ (+ x 1.0) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify1.2s

Counts
297 → 297
Iterations

Useful iterations: 2 (339.0ms)

IterNodesCost
03136997
110666290
241476090
done50006090

prune541.0ms

Filtered
149 candidates to 297 candidates (-99.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2970297
Fresh000
Picked011
Done022
Total2973300

Merged error: 0b

Counts
300 → 3

regimes58.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample316.0ms

Algorithm
intervals
Results
175.0ms8000×body80valid

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