Details

Time bar (total: 12.9s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms75×body80nan

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(sqrt (+ x 1.0))
0.2b
(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
14×add-sqr-sqrt
13×add-cube-cbrt
12×times-frac
6×distribute-lft-out
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1 associate-/r* sqrt-prod
3×flip3-+ flip-+ insert-posit16 associate-/l*
2×sqrt-div associate-/r/
1×cbrt-undiv +-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
3 → 64
Calls
3 calls:
14.0ms
(+ 1.0 (sqrt (+ x 1.0)))
8.0ms
(sqrt (+ x 1.0))
31.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series284.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ 1.0 (sqrt (+ x 1.0)))
53.0ms
(sqrt (+ x 1.0))
183.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.2s

Counts
73 → 73
Iterations
IterNodes
done5000
21075
1319
0140

prune218.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.0b
(sqrt (+ x 1.0))
0.1b
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
0.1b
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
31×add-sqr-sqrt
26×times-frac
23×add-cube-cbrt
18×associate-*r*
17×add-exp-log
11×add-cbrt-cube
9×distribute-lft-out
8×pow1
6×add-log-exp
4×associate-/r* flip3-+ div-exp prod-exp associate-/r/ sqrt-prod flip-+ insert-posit16
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp sqrt-div 1-exp cbrt-unprod div-inv
1×+-commutative rem-sqrt-square clear-num sum-log frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 110
Calls
4 calls:
20.0ms
(+ 1.0 (sqrt (+ x 1.0)))
11.0ms
(sqrt (+ x 1.0))
35.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
92.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

series354.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ 1.0 (sqrt (+ x 1.0)))
31.0ms
(sqrt (+ x 1.0))
109.0ms
(/ 1 (+ 1.0 (sqrt (+ x 1.0))))
171.0ms
(* x (/ 1 (+ 1.0 (sqrt (+ x 1.0)))))

simplify1.3s

Counts
122 → 122
Iterations
IterNodes
done5000
21588
1458
0187

prune370.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
0.2b
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
3.2b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.1b
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

rewrite419.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-div
54×add-sqr-sqrt
44×*-un-lft-identity
34×flip3-+ flip-+
30×associate-*r/ add-cube-cbrt
26×sqrt-prod
25×times-frac associate-*l*
21×pow1
16×frac-sub
14×frac-times
13×add-cbrt-cube add-exp-log
11×swap-sqr
10×associate-*r*
9×associate-*l/
8×sqrt-pow1 pow1/2
7×cube-unmult pow3 sum-cubes
6×distribute-lft-out add-log-exp unswap-sqr
5×pow-prod-up
4×associate-/r* pow-prod-down associate-/r/ insert-posit16 sub-div
3×prod-exp pow-sqr cbrt-unprod associate-/l*
2×cbrt-undiv div-exp *-commutative div-inv
1×pow2 distribute-rgt-in clear-num sub-neg rem-square-sqrt frac-2neg distribute-lft-in pow-plus flip3-- distribute-rgt-out-- sqrt-unprod diff-log flip--
Counts
4 → 175
Calls
4 calls:
273.0ms
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
47.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
35.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
58.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

series884.0ms

Counts
4 → 12
Calls
4 calls:
521.0ms
(* (/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
20.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
100.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
242.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ x 1.0) (sqrt (+ x 1.0)))))

simplify2.7s

Counts
187 → 187
Iterations
IterNodes
done5012
24642
11193
0382

prune726.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
360×times-frac
287×*-un-lft-identity
190×sqrt-prod
186×add-sqr-sqrt
185×add-cube-cbrt
51×distribute-lft-out
34×associate-/r*
11×add-cbrt-cube add-exp-log
10×associate-/l*
9×div-inv
6×add-log-exp
5×pow1
4×cbrt-undiv div-exp insert-posit16
3×flip3-+ flip-+
2×clear-num frac-2neg sqrt-div associate-/l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 associate-/r/
Counts
4 → 297
Calls
4 calls:
22.0ms
(+ 1.0 (sqrt (+ x 1.0)))
6.0ms
(sqrt (+ x 1.0))
65.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
55.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(+ 1.0 (sqrt (+ x 1.0)))
33.0ms
(sqrt (+ x 1.0))
192.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
184.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify1.8s

Counts
309 → 309
Iterations
IterNodes
done5000
22599
1977
0376

prune897.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
08

end0.0ms

sample709.0ms

Algorithm
intervals
Results
427.0ms7999×body80valid
134.0ms2694×body80nan
0.0ms1×body1280valid