Details

Time bar (total: 7.1s)

sample35.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
5.0ms83×body80nan

simplify4.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune4.0ms

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

rewrite57.0ms

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:
7.0ms
(sqrt (+ x 1.0))
16.0ms
(+ 1.0 (sqrt (+ x 1.0)))
32.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series255.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(sqrt (+ x 1.0))
51.0ms
(+ 1.0 (sqrt (+ x 1.0)))
160.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.0s

Counts
73 → 73
Iterations
IterNodes
done5001
21489
1319
0140

prune265.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite107.0ms

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:
5.0ms
(sqrt (+ x 1.0))
9.0ms
(+ 1.0 (sqrt (+ x 1.0)))
47.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
39.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series422.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(sqrt (+ x 1.0))
63.0ms
(+ 1.0 (sqrt (+ x 1.0)))
173.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
138.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify1.4s

Counts
309 → 309
Iterations
IterNodes
done5000
1982
0376

prune883.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.2b
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
3.4b
(- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))
3.4b
(- 1.0 (sqrt (+ x 1.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity sqrt-prod
30×add-sqr-sqrt
20×pow1
14×sqrt-div
13×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 pow1/2
8×add-log-exp
7×flip3-+ associate-*r* associate-*l* flip-+ distribute-lft-out
6×add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr difference-of-squares
2×sub-neg flip3-- diff-log associate-*l/ associate-*r/ flip--
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod distribute-lft-out--
Counts
4 → 110
Calls
4 calls:
4.0ms
(sqrt (+ x 1.0))
42.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
13.0ms
(- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))
10.0ms
(- 1.0 (sqrt (+ x 1.0)))

series160.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(sqrt (+ x 1.0))
25.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
24.0ms
(- (* 1.0 1.0) (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))))
68.0ms
(- 1.0 (sqrt (+ x 1.0)))

simplify995.0ms

Counts
122 → 122
Iterations
IterNodes
done5000
21590
1337
0146

prune354.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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
done8
18
06

end0.0ms

sample969.0ms

Algorithm
intervals
Results
604.0ms8000×body80valid
174.0ms2800×body80nan