Details

Time bar (total: 9.3s)

sample34.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
114
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1))
0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(/ 1 (- x 1))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
87×*-un-lft-identity
63×add-sqr-sqrt
62×times-frac
35×add-cube-cbrt
27×fma-def
14×difference-of-squares
12×distribute-lft-out
11×associate-/r*
9×add-exp-log distribute-lft-out--
7×add-cbrt-cube difference-of-sqr-1
6×associate-/r/ associate-/l*
5×add-log-exp
4×pow1 div-inv
3×expm1-log1p-u div-exp insert-posit16 log1p-expm1-u
2×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- flip-+ flip--
1×+-commutative rec-exp sum-log 1-exp frac-add pow-flip inv-pow
Counts
3 → 136
Calls
3 calls:
13.0ms
(/ x (+ x 1))
65.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
12.0ms
(/ 1 (- x 1))

series149.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ x (+ x 1))
92.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
22.0ms
(/ 1 (- x 1))

simplify2.1s

Counts
145 → 145
Iterations
IterNodes
done5001
22060
1423
0176

prune451.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x 1) x)
0.0b
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
0.0b
(/ 1 (- x 1))
0.1b
(/ 1 (/ (+ x 1) x))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
161×*-un-lft-identity
117×add-sqr-sqrt
89×add-cube-cbrt
27×fma-def
26×associate-/r* distribute-lft-out
21×add-exp-log
14×difference-of-squares
13×add-cbrt-cube
12×div-inv
10×div-exp associate-/l* distribute-lft-out--
7×difference-of-sqr-1
6×pow1 add-log-exp
5×cbrt-undiv associate-/r/
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×rec-exp clear-num frac-2neg 1-exp
2×flip3-+ flip3-- flip-+ pow-flip flip-- inv-pow associate-/l/
1×+-commutative sum-log frac-add
Counts
4 → 231
Calls
4 calls:
15.0ms
(/ (+ x 1) x)
331.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
14.0ms
(/ 1 (- x 1))
13.0ms
(/ 1 (/ (+ x 1) x))

series216.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(/ (+ x 1) x)
78.0ms
(+ (/ 1 (- x 1)) (/ 1 (/ (+ x 1) x)))
22.0ms
(/ 1 (- x 1))
38.0ms
(/ 1 (/ (+ x 1) x))

simplify2.5s

Counts
243 → 243
Iterations
IterNodes
done5000
23962
1709
0270

prune648.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×fma-udef
1×cbrt-prod pow1/3 pow3 rem-cbrt-cube
Counts
4 → 46
Calls
4 calls:
10.0ms
(cbrt (* (* (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x))) (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))) (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))))
0.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))
0.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))
0.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(cbrt (* (* (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x))) (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))) (fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))))
87.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))
83.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))
82.0ms
(fma x (/ 1 (+ x 1)) (/ 1 (+ -1 x)))

simplify988.0ms

Counts
58 → 58
Iterations
IterNodes
done5000
3957
2225
184
046

prune331.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample927.0ms

Algorithm
intervals
Results
776.0ms8000×body80valid