Details

Time bar (total: 10.7s)

sample36.0ms

Algorithm
intervals
Results
11.0ms66×body640valid
6.0ms135×body80valid
5.0ms35×body320valid
2.0ms20×body160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
21.0ms
(/ 1.0 (+ x 1.0))
125.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series137.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ 1.0 (+ x 1.0))
91.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts
320 → 320
Iterations

Useful iterations: 2 (740.0ms)

IterNodesCost
038712162
191810697
232518100
done50008100

prune749.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
3.4b
(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×times-frac associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u flip3-- div-exp associate-*l/ associate-/r/ flip-- log1p-expm1-u associate-/l/
1×sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub prod-diff prod-exp clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
55.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
18.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

series77.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
13.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify1.5s

Counts
50 → 50
Iterations

Useful iterations: 2 (467.0ms)

IterNodesCost
0104908
1324877
22040664
done5001664

prune156.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.6b

localize13.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ (- 1.0) (* (+ x 1.0) x))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×times-frac associate-/l*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-exp-log distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
2×cbrt-undiv neg-mul-1 div-exp associate-*l/ associate-/r/
1×pow1 neg-sub0 expm1-log1p-u frac-2neg flip3-+ div-sub distribute-frac-neg prod-exp clear-num associate-/r* cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 41
Calls
1 calls:
38.0ms
(/ (- 1.0) (* (+ x 1.0) x))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- 1.0) (* (+ x 1.0) x))

simplify1.1s

Counts
44 → 44
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
0104508
1265484
21292433
done5000433

prune118.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
269×*-un-lft-identity
167×add-sqr-sqrt add-cube-cbrt
63×distribute-lft-neg-in distribute-rgt-neg-in
56×associate-/l*
51×distribute-lft-out
21×neg-mul-1
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 278
Calls
2 calls:
28.0ms
(/ (- 1.0) (+ x 1.0))
59.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

series101.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- 1.0) (+ x 1.0))
62.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.4s

Counts
284 → 284
Iterations

Useful iterations: 2 (941.0ms)

IterNodesCost
03674473
19104154
243484066
done50004066

prune697.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
198
2118
done118

end0.0ms

sample1.0s

Algorithm
intervals
Results
288.0ms1888×body640valid
271.0ms4257×body80valid
137.0ms1186×body320valid
133.0ms670×body160valid