Details

Time bar (total: 25.7s)

sample63.0ms

Algorithm
intervals
Results
21.0ms68×body640valid
18.0ms36×body320valid
13.0ms139×body80valid
2.0ms13×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
19
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
2.1b
(- (/ 1 (+ x 1)) (/ 1 x))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
28.0ms
(/ 1 (+ x 1))
63.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series67.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (+ x 1))
53.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify11.0s

Counts
77 → 77
Iterations
IterNodes
43087
31334
2587
1257
0124

prune589.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ -1 (+ x (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity times-frac
11×add-sqr-sqrt add-cube-cbrt
5×associate-/r*
4×distribute-rgt-out distribute-rgt1-in
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
7.0ms
(/ -1 (+ x (* x x)))

series22.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ -1 (+ x (* x x)))

simplify6.9s

Counts
41 → 41
Iterations
IterNodes
47418
31849
2515
1170
085

prune239.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ -1 x) (+ 1 x))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
78×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
13×associate-/l*
6×add-cbrt-cube add-exp-log div-inv
4×associate-/r*
3×cbrt-undiv div-exp
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
Counts
1 → 87
Calls
1 calls:
19.0ms
(/ (/ -1 x) (+ 1 x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (/ -1 x) (+ 1 x))

simplify1.2s

Counts
90 → 90
Iterations
IterNodes
32906
2883
1383
0169

prune522.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
0.3b
(cbrt (+ 1 x))
0.3b
(cbrt (+ 1 x))
0.3b
(cbrt (+ 1 x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
31.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
3.0ms
(cbrt (+ 1 x))

series203.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (cbrt (+ 1 x)) (cbrt (+ 1 x)))
43.0ms
(cbrt (+ 1 x))
40.0ms
(cbrt (+ 1 x))
64.0ms
(cbrt (+ 1 x))

simplify1.6s

Counts
111 → 111
Iterations
IterNodes
43099
31295
2601
1269
0123

prune1.2s

Pruning

5 alts after pruning (2 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

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample1.9s

Algorithm
intervals
Results
700.0ms4241×body80valid
617.0ms1997×body640valid
284.0ms1178×body320valid
137.0ms585×body160valid