Details

Time bar (total: 10.7s)

sample43.0ms

Algorithm
intervals
Results
9.0ms62×body640valid
5.0ms48×body320valid
5.0ms124×body80valid
2.0ms22×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
2.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
21.0ms
(/ 1.0 (- x 1.0))
18.0ms
(/ 1.0 (+ x 1.0))
130.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series334.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1.0 (- x 1.0))
38.0ms
(/ 1.0 (+ x 1.0))
254.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.7s

Counts
111 → 111
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01751402
13881325
29411259
321411255
done50011249

prune254.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity times-frac
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
8×difference-of-squares
6×associate-*r*
4×pow1 distribute-rgt-in sub-neg flip3-- distribute-lft-in associate--l+ associate-/r* associate-/r/ flip--
3×associate-/l* distribute-lft-out--
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 85
Calls
2 calls:
168.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
21.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- (- 0 1.0) 1.0))
70.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.3s

Counts
91 → 91
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01731684
14401536
214901354
done50001280

prune246.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
0.1b
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
26.0ms
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
50.0ms
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

series142.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (* 2 (- (pow 1.0 4))) (+ 1.0 x))
92.0ms
(/ (/ (* 2 (- (pow 1.0 4))) (+ 1.0 x)) (- x 1.0))

simplify1.3s

Counts
117 → 117
Iterations

Useful iterations: 2 (524.0ms)

IterNodesCost
02092482
15852359
220912102
done50022102

prune445.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (cbrt 1.0) (- x 1.0))
0.0b
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
0.1b
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (- (- 1.0) 1.0) (/ (cbrt 1.0) (- x 1.0))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log *-un-lft-identity
40×add-sqr-sqrt
38×times-frac
34×add-cbrt-cube
26×add-cube-cbrt
19×prod-exp cbrt-unprod
18×cbrt-prod
12×cbrt-undiv div-exp
10×associate-*l*
9×frac-times associate-/r*
8×pow1
7×associate-*r/ associate-/l* distribute-lft-out-- difference-of-squares
6×associate-/r/
5×flip3-- associate-*l/ flip--
3×pow-prod-down div-inv distribute-lft-out add-log-exp
2×frac-2neg flip3-+ clear-num flip-+
1×associate-*r* *-commutative
Counts
3 → 130
Calls
3 calls:
25.0ms
(/ (cbrt 1.0) (- x 1.0))
20.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
156.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (- (- 1.0) 1.0) (/ (cbrt 1.0) (- x 1.0))))

series434.0ms

Counts
3 → 9
Calls
3 calls:
95.0ms
(/ (cbrt 1.0) (- x 1.0))
129.0ms
(/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0))
210.0ms
(* (/ (* (cbrt 1.0) (cbrt 1.0)) (+ x 1.0)) (* (- (- 1.0) 1.0) (/ (cbrt 1.0) (- x 1.0))))

simplify1.7s

Counts
139 → 139
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02592714
16822526
226391986
done50011805

prune409.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify24.0ms

Iterations

Useful iterations: 3 (9.0ms)

IterNodesCost
01932
12729
23628
34226
44526
54926
65026
done5026

end0.0ms

sample1.5s

Algorithm
intervals
Results
583.0ms1302×body320valid
365.0ms1905×body640valid
232.0ms4182×body80valid
88.0ms611×body160valid