Details

Time bar (total: 12.5s)

sample43.0ms

Algorithm
intervals
Results
13.0ms65×body640valid
8.0ms135×body80valid
6.0ms39×body320valid
2.0ms17×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: 13.7b

localize22.0ms

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)))

rewrite206.0ms

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-cbrt-cube add-exp-log
6×associate-/l*
5×add-log-exp
3×expm1-log1p-u pow1 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg div-exp
1×sub-neg diff-log frac-sub
Counts
3 → 504
Calls
3 calls:
11.0ms
(/ 1.0 (+ x 1.0))
12.0ms
(/ 1.0 (- x 1.0))
131.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series339.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ 1.0 (+ x 1.0))
47.0ms
(/ 1.0 (- x 1.0))
260.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.1s

Counts
513 → 513
Iterations

Useful iterations: done (2.1s)

IterNodesCost
052524322
1125321814
2430317010
done500017009

prune1.9s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.4b
(- (- x 1.0) (+ x 1.0))

rewrite92.0ms

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×associate-/r* flip3-- add-cbrt-cube add-exp-log frac-sub flip--
3×associate-/l*
2×expm1-log1p-u pow1 sum-log sub-neg flip3-+ associate-/r/ flip-+ log1p-expm1-u
1×associate--l- cbrt-undiv clear-num frac-2neg div-exp div-inv associate--r+
Counts
2 → 99
Calls
2 calls:
20.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
64.0ms
(- (- x 1.0) (+ x 1.0))

series99.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.8s

Counts
105 → 105
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01961915
15511583
232981334
done50011332

prune378.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×times-frac
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×associate-/r* difference-of-squares
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-- div-exp log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 35
Calls
1 calls:
16.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify847.0ms

Counts
38 → 38
Iterations

Useful iterations: done (845.0ms)

IterNodesCost
090585
1224562
21095516
done5001510

prune152.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite83.0ms

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×associate-/r* add-cbrt-cube add-exp-log
8×div-inv
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 167
Calls
2 calls:
18.0ms
(/ 1.0 (+ x 1.0))
49.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series155.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1.0 (+ x 1.0))
105.0ms
(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.7s

Counts
173 → 173
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02493008
16722799
231172721
done50002719

prune677.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify9.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11212
21612
31912
done1912

end0.0ms

sample1.5s

Algorithm
intervals
Results
611.0ms1242×body320valid
426.0ms1887×body640valid
249.0ms4270×body80valid
54.0ms601×body160valid