Details

Time bar (total: 9.6s)

sample22.0ms

Algorithm
intervals
Results
7.0ms70×body640valid
4.0ms142×body80valid
2.0ms27×body320valid
1.0ms17×body160valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.0b
(/ 1.0 (- x 1.0))
2.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite163.0ms

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:
18.0ms
(/ 1.0 (+ x 1.0))
26.0ms
(/ 1.0 (- x 1.0))
115.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series326.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1.0 (+ x 1.0))
40.0ms
(/ 1.0 (- x 1.0))
249.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify989.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (367.0ms)

IterNodesCost
01751402
14091325
215871259
done50011259

prune319.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 61
Calls
2 calls:
17.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
46.0ms
(- (- x 1.0) (+ x 1.0))

series78.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: 2 (470.0ms)

IterNodesCost
01511007
1419958
22335890
done5000890

prune244.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

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)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
22×add-cube-cbrt *-un-lft-identity
18×associate-*l*
10×associate-*r*
9×add-exp-log add-cbrt-cube
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 flip-- cbrt-unprod div-inv add-log-exp unswap-sqr
1×neg-mul-1 frac-2neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 78
Calls
2 calls:
64.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
28.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series168.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
91.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.8s

Counts
84 → 84
Iterations

Useful iterations: 2 (555.0ms)

IterNodesCost
01581309
14801264
226781134
done50011134

prune267.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
0.0b
(/ 1.0 (+ x 1.0))
0.1b
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite190.0ms

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-exp-log add-cbrt-cube
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 add-log-exp unswap-sqr
2×flip3-- frac-2neg clear-num flip--
1×neg-mul-1 pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/
Counts
3 → 289
Calls
3 calls:
102.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
11.0ms
(/ 1.0 (+ x 1.0))
44.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series231.0ms

Counts
3 → 9
Calls
3 calls:
109.0ms
(* (/ (/ 1.0 (+ x 1.0)) (- x 1.0)) (- 2.0))
36.0ms
(/ 1.0 (+ x 1.0))
85.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify698.0ms

Counts
298 → 298
Iterations

Useful iterations: done (685.0ms)

IterNodesCost
03604896
111624649
done50014475

prune910.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21912
32212
done2212

end0.0ms

sample1.5s

Algorithm
intervals
Results
845.0ms1949×body640valid
205.0ms1279×body320valid
181.0ms4143×body80valid
49.0ms629×body160valid