Details

Time bar (total: 12.7s)

sample37.0ms

Algorithm
intervals
Results
11.0ms63×body640valid
6.0ms127×body80valid
6.0ms43×body320valid
2.0ms23×body160valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11211
21511
done1511

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
3.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite266.0ms

Algorithm
rewrite-expression-head
Rules
662×*-un-lft-identity
589×times-frac
496×add-sqr-sqrt
378×prod-diff
368×add-cube-cbrt
86×associate-/r/
79×distribute-lft-out--
76×distribute-lft-out
62×difference-of-squares
44×div-inv
24×flip-+
23×flip3-+
21×flip--
20×flip3--
18×fma-neg
9×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
23.0ms
(/ 1.0 (- x 1.0))
12.0ms
(/ 1.0 (+ x 1.0))
163.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series343.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ 1.0 (- x 1.0))
45.0ms
(/ 1.0 (+ x 1.0))
250.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.4s

Counts
513 → 513
Iterations

Useful iterations: done (2.3s)

IterNodesCost
052524322
1125221814
2430717010
done500017008

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.9b
(- (- x 1.0) (+ x 1.0))

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
39×add-sqr-sqrt
29×prod-diff
27×add-cube-cbrt
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
10×difference-of-squares
7×distribute-lft-out
6×diff-log
5×fma-neg
4×add-exp-log flip3-- associate-/r* frac-sub add-cbrt-cube flip--
3×associate-/l*
2×pow1 expm1-log1p-u sub-neg flip3-+ sum-log associate-/r/ flip-+ log1p-expm1-u
1×cbrt-undiv associate--l- frac-2neg div-exp clear-num div-inv associate--r+
Counts
2 → 99
Calls
2 calls:
27.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
125.0ms
(- (- x 1.0) (+ x 1.0))

series103.0ms

Counts
2 → 6
Calls
2 calls:
89.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) (+ x 1.0))

simplify2.1s

Counts
105 → 105
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01961915
15511583
232861334
done50011332

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-/r* difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 35
Calls
1 calls:
27.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify979.0ms

Counts
38 → 38
Iterations

Useful iterations: done (977.0ms)

IterNodesCost
090585
1224562
21109516
done5000510

prune110.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×distribute-lft-out
21×associate-/l*
19×distribute-lft-out-- difference-of-squares
16×associate-/r/
9×add-exp-log associate-/r* add-cbrt-cube
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 167
Calls
2 calls:
23.0ms
(/ 1.0 (+ x 1.0))
56.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series171.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 1.0 (+ x 1.0))
116.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify2.1s

Counts
173 → 173
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02493008
16722799
231102721
done50012719

prune543.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11312
21712
32012
42212
done2212

end0.0ms

sample1.4s

Algorithm
intervals
Results
643.0ms1285×body320valid
323.0ms1928×body640valid
210.0ms4181×body80valid
44.0ms606×body160valid