Details

Time bar (total: 25.6s)

sample42.0ms

Algorithm
intervals
Results
12.0ms59×body640valid
5.0ms154×body80valid
3.0ms28×body320valid
1.0ms15×body160valid

simplify36.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize47.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
1.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite233.0ms

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-cbrt-cube add-exp-log
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 insert-posit16 flip--
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 105
Calls
3 calls:
30.0ms
(/ 1.0 (+ x 1.0))
20.0ms
(/ 1.0 (- x 1.0))
166.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series362.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1.0 (+ x 1.0))
40.0ms
(/ 1.0 (- x 1.0))
268.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify5.8s

Counts
114 → 114
Iterations
IterNodes
done5002
34416
21170
1413
0178

prune905.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize50.0ms

Local error

Found 2 expressions with local error:

0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.2b
(- (- x 1.0) (+ x 1.0))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
14×add-log-exp
13×add-sqr-sqrt
12×times-frac
11×add-cube-cbrt
6×diff-log distribute-lft-out--
5×difference-of-squares
4×associate-/r* flip3-- add-cbrt-cube add-exp-log frac-sub flip--
3×associate-/l*
2×pow1 sum-log sub-neg flip3-+ associate--l+ associate-/r/ flip-+ insert-posit16 distribute-lft-out
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv associate--r+
Counts
2 → 63
Calls
2 calls:
36.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
102.0ms
(- (- x 1.0) (+ x 1.0))

series81.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
15.0ms
(- (- x 1.0) (+ x 1.0))

simplify2.8s

Counts
69 → 69
Iterations
IterNodes
done5001
21718
1411
0153

prune626.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize39.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.5b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×*-un-lft-identity add-cube-cbrt
18×associate-*l*
10×associate-*r*
9×add-cbrt-cube add-exp-log
7×difference-of-squares
4×pow1 associate-/r* associate-/r/
3×distribute-lft-neg-in distribute-rgt-neg-in associate-/l*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod insert-posit16 div-inv flip-- add-log-exp unswap-sqr
1×clear-num neg-mul-1 frac-2neg pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out
Counts
2 → 80
Calls
2 calls:
73.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
33.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series160.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
87.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify3.1s

Counts
86 → 86
Iterations
IterNodes
done5029
21826
1474
0160

prune716.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
0.0b
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite305.0ms

Algorithm
rewrite-expression-head
Rules
327×times-frac
289×*-un-lft-identity
224×add-sqr-sqrt
141×add-cube-cbrt
96×associate-*l*
37×distribute-lft-out distribute-lft-out-- difference-of-squares
28×associate-/r/
21×associate-/l*
19×add-cbrt-cube add-exp-log
14×div-inv
12×flip3-+ flip-+
10×associate-*r*
9×associate-/r*
7×cbrt-undiv div-exp
5×pow1
3×distribute-lft-neg-in distribute-rgt-neg-in prod-exp cbrt-unprod insert-posit16 add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- flip--
1×neg-mul-1 pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/
Counts
3 → 292
Calls
3 calls:
19.0ms
(/ 1.0 (+ x 1.0))
136.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
66.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series279.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ 1.0 (+ x 1.0))
125.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
111.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify5.8s

Counts
301 → 301
Iterations
IterNodes
done5007
24104
11141
0363

prune2.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify24.0ms

Iterations
IterNodes
done22
422
320
217
113
09

end0.0ms

sample1.5s

Algorithm
intervals
Results
780.0ms1928×body640valid
250.0ms4192×body80valid
200.0ms1244×body320valid
55.0ms636×body160valid