Details

Time bar (total: 13.8s)

sample50.0ms

Algorithm
intervals
Results
16.0ms59×body1280valid
7.0ms34×body640valid
7.0ms122×body80valid
4.0ms25×body320valid
2.0ms16×body160valid

simplify217.0ms

Counts
1 → 1
Iterations
IterNodes
done350
14350
13346
12340
11329
10222
996
875
758
639
527
421
319
216
112
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.5b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x 1.0) (- x 1.0))
4.2b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity
40×times-frac
35×add-sqr-sqrt
18×distribute-lft-out--
14×distribute-lft-out
13×add-cube-cbrt
9×difference-of-squares
5×associate-/r*
4×add-cbrt-cube add-exp-log associate-/l* add-log-exp
2×pow1 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-exp frac-sub flip-+ div-inv
Counts
2 → 71
Calls
2 calls:
31.0ms
(/ (+ x 1.0) (- x 1.0))
95.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series247.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (+ x 1.0) (- x 1.0))
196.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify1.8s

Counts
77 → 77
Iterations
IterNodes
done5043
33385
2912
1321
0135

prune305.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(* x (* x x))
0.4b
(/ 3.0 (* x (* x x)))
0.5b
(/ 1.0 (* x x))
6.2b
(- (- (/ 3.0 (* x (* x x)))) (/ 1.0 (* x x)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
23×add-cbrt-cube add-exp-log
18×pow1
15×*-un-lft-identity
14×add-sqr-sqrt
9×times-frac add-cube-cbrt
8×add-log-exp
7×prod-exp cbrt-unprod
6×associate-/l*
5×cbrt-undiv div-exp pow-prod-up
3×associate-*l* pow-prod-down distribute-lft-out--
2×clear-num associate-/r* distribute-rgt-neg-in frac-2neg diff-log div-inv difference-of-squares
1×associate--l- pow2 neg-sub0 sub-neg pow-plus flip3-- cube-unmult associate-*r* neg-log pow-sqr *-commutative frac-sub flip-- distribute-neg-frac unswap-sqr
Counts
4 → 88
Calls
4 calls:
12.0ms
(* x (* x x))
22.0ms
(/ 3.0 (* x (* x x)))
12.0ms
(/ 1.0 (* x x))
116.0ms
(- (- (/ 3.0 (* x (* x x)))) (/ 1.0 (* x x)))

series289.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* x (* x x))
63.0ms
(/ 3.0 (* x (* x x)))
29.0ms
(/ 1.0 (* x x))
152.0ms
(- (- (/ 3.0 (* x (* x x)))) (/ 1.0 (* x x)))

simplify1.4s

Counts
100 → 100
Iterations
IterNodes
done5000
21306
1343
0142

prune357.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ 3.0 (* x (* x x)))
0.5b
(/ 1.0 (* x x))
0.9b
(log (exp (/ 3.0 (* x (* x x)))))
6.2b
(- (- (log (exp (/ 3.0 (* x (* x x)))))) (/ 1.0 (* x x)))

rewrite390.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
17×*-un-lft-identity
16×add-sqr-sqrt
12×add-cube-cbrt
10×times-frac
9×log-pow
7×exp-prod add-log-exp
6×pow1 log-prod associate-/l*
5×cbrt-undiv div-exp
4×prod-exp cbrt-unprod
3×distribute-neg-in associate--l+ div-inv distribute-lft-out--
2×clear-num associate-/r* distribute-rgt-neg-in frac-2neg diff-log difference-of-squares
1×associate--l- neg-sub0 sub-neg flip3-- rem-log-exp neg-log flip--
Counts
4 → 85
Calls
4 calls:
19.0ms
(/ 3.0 (* x (* x x)))
6.0ms
(/ 1.0 (* x x))
13.0ms
(log (exp (/ 3.0 (* x (* x x)))))
347.0ms
(- (- (log (exp (/ 3.0 (* x (* x x)))))) (/ 1.0 (* x x)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ 3.0 (* x (* x x)))
28.0ms
(/ 1.0 (* x x))
74.0ms
(log (exp (/ 3.0 (* x (* x x)))))
123.0ms
(- (- (log (exp (/ 3.0 (* x (* x x)))))) (/ 1.0 (* x x)))

simplify1.2s

Counts
97 → 97
Iterations
IterNodes
done5013
21231
1345
0155

prune456.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
0.0b
(* (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
4.2b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
4.2b
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

rewrite916.0ms

Algorithm
rewrite-expression-head
Rules
957×*-un-lft-identity
364×times-frac
261×distribute-lft-out--
202×sqrt-prod
168×distribute-lft-out
110×add-sqr-sqrt
79×swap-sqr
28×difference-of-squares
27×sqrt-div
20×pow1
19×associate-*r* associate-*l*
13×add-cube-cbrt
11×flip3-- frac-sub flip--
9×frac-times sqrt-pow1 pow1/2
8×add-log-exp
6×add-cbrt-cube add-exp-log
5×pow-prod-up
4×unswap-sqr
3×pow-prod-down associate-*l/ associate-*r/ pow-sqr
2×sub-neg diff-log
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 242
Calls
4 calls:
127.0ms
(sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
527.0ms
(* (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
109.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
114.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
305.0ms
(sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0))))
209.0ms
(* (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))) (sqrt (- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))))
205.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))
177.0ms
(- (/ x (+ x 1.0)) (/ (+ x 1.0) (- x 1.0)))

simplify2.1s

Counts
254 → 254
Iterations
IterNodes
done5005
33424
21137
1399
0190

prune677.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 32.0b

bsearch138.0ms

Steps
ItersRangePoint
9
28.34319947931986
37605091470.942024
9434.995202559312
8
-137985211.42758197
-2980.3304644899954
-10736.404381367049

simplify15.0ms

Iterations
IterNodes
done41
141
032

end0.0ms

sample1.6s

Algorithm
intervals
Results
606.0ms4073×body80valid
478.0ms1751×body1280valid
287.0ms1201×body640valid
82.0ms659×body320valid
33.0ms316×body160valid