Details

Time bar (total: 12.3s)

sample14.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11111
21211
done1211

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
75×*-un-lft-identity
50×times-frac
45×add-sqr-sqrt
31×add-cube-cbrt
21×fma-def
11×distribute-lft-out
9×associate-/r* distribute-lft-out--
7×add-exp-log add-cbrt-cube difference-of-squares
6×associate-/r/ associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u div-inv
2×cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+
1×+-commutative frac-add sum-log
Counts
3 → 114
Calls
3 calls:
13.0ms
(/ x (+ x 1.0))
11.0ms
(/ 1.0 (- x 1.0))
84.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series281.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ x (+ x 1.0))
54.0ms
(/ 1.0 (- x 1.0))
183.0ms
(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify3.2s

Counts
123 → 123
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01751183
13991098
210171043
322941038
done50001033

prune336.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1.0))
0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
24×times-frac
21×add-sqr-sqrt add-cube-cbrt
8×associate-/r*
7×add-exp-log add-cbrt-cube
6×associate-/l*
4×associate-/r/ distribute-lft-out difference-of-squares
3×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×flip3-- flip3-+ flip-- flip-+ fma-udef
Counts
3 → 80
Calls
3 calls:
11.0ms
(/ x (+ x 1.0))
0.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
29.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series271.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(/ x (+ x 1.0))
160.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ x (+ x 1.0)))
60.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify2.5s

Counts
89 → 89
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01691252
13711196
210351087
332211066
done50011063

prune363.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ 1 (/ (+ x 1.0) x)))
0.0b
(/ (+ x 1.0) x)
0.1b
(/ 1 (/ (+ x 1.0) x))
0.3b
(/ 1.0 (- (* x x) (* 1.0 1.0)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
120×times-frac
103×*-un-lft-identity
71×add-sqr-sqrt add-cube-cbrt
23×associate-/r*
19×add-exp-log
16×distribute-lft-out
13×add-cbrt-cube
10×associate-/l*
9×div-exp
7×div-inv
5×pow1 cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp difference-of-squares
3×frac-2neg clear-num associate-/r/
2×rec-exp 1-exp associate-/l/
1×flip3-- pow-flip flip3-+ flip-- flip-+ fma-udef inv-pow
Counts
4 → 170
Calls
4 calls:
1.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ 1 (/ (+ x 1.0) x)))
25.0ms
(/ (+ x 1.0) x)
26.0ms
(/ 1 (/ (+ x 1.0) x))
13.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(fma (/ 1.0 (- (* x x) (* 1.0 1.0))) (+ x 1.0) (/ 1 (/ (+ x 1.0) x)))
92.0ms
(/ (+ x 1.0) x)
58.0ms
(/ 1 (/ (+ x 1.0) x))
88.0ms
(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify3.6s

Counts
182 → 182
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02702608
15982280
214431993
341341946
done50001944

prune474.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0918
11018
done1018

end0.0ms

sample617.0ms

Algorithm
intervals
Results
475.0ms8000×body80valid