Details

Time bar (total: 10.0s)

sample29.0ms

Algorithm
intervals
Results
9.0ms67×body640valid
5.0ms138×body80valid
3.0ms35×body320valid
1.0ms16×body160valid

simplify11.0ms

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: 15.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
1.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite144.0ms

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:
13.0ms
(/ 1.0 (- x 1.0))
18.0ms
(/ 1.0 (+ x 1.0))
107.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series295.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ 1.0 (- x 1.0))
26.0ms
(/ 1.0 (+ x 1.0))
223.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify898.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
01751402
14091325
215861259
done50021259

prune335.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize20.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
1.5b
(- (- x 1.0) (+ x 1.0))

rewrite122.0ms

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:
27.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
90.0ms
(- (- x 1.0) (+ x 1.0))

series87.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
12.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.3s

Counts
67 → 67
Iterations

Useful iterations: 2 (488.0ms)

IterNodesCost
01511007
1419958
22335890
done5000890

prune214.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
0.8b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite94.0ms

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:
70.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
21.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series139.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (/ 1.0 (- (* x x) (* 1.0 1.0))) (- 2.0))
72.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify1.5s

Counts
84 → 84
Iterations

Useful iterations: 2 (556.0ms)

IterNodesCost
01581309
14801264
226781134
done50011134

prune245.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1 (+ x 1.0))
0.1b
(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
48×add-exp-log
39×times-frac
38×add-sqr-sqrt
30×add-cube-cbrt
28×add-cbrt-cube
20×prod-exp
18×associate-*l*
13×div-exp
10×cbrt-unprod
9×pow1 associate-/r*
7×cbrt-undiv distribute-lft-out
6×associate-/r/ associate-/l*
4×rec-exp 1-exp distribute-lft-out-- difference-of-squares
3×pow-prod-down associate-*l/ div-inv add-log-exp
2×frac-2neg flip3-+ clear-num distribute-rgt-neg-out flip-+
1×frac-times flip3-- pow-flip associate-*r/ associate-*r* *-commutative flip-- inv-pow
Counts
3 → 125
Calls
3 calls:
18.0ms
(/ 1.0 (- x 1.0))
20.0ms
(/ 1 (+ x 1.0))
96.0ms
(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

series172.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ 1.0 (- x 1.0))
33.0ms
(/ 1 (+ x 1.0))
100.0ms
(* (/ 1 (+ x 1.0)) (* (/ 1.0 (- x 1.0)) (- 2.0)))

simplify2.6s

Counts
134 → 134
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02131850
15961693
237491395
done50011381

prune229.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 4 (9.0ms)

IterNodesCost
01114
11814
22614
33214
43513
done3513

end0.0ms

sample1.3s

Algorithm
intervals
Results
578.0ms4241×body80valid
368.0ms1940×body640valid
156.0ms1219×body320valid
45.0ms600×body160valid