Details

Time bar (total: 14.2s)

sample79.0ms

Algorithm
intervals
Results
27.0ms66×body1280valid
15.0ms245×body80nan
10.0ms138×body80valid
6.0ms21×body640valid
5.0ms22×body320valid
1.0ms9×body160valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done10
210
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt (+ x 1.0))
2.9b
(- (sqrt (+ x 1.0)) (sqrt x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity sqrt-prod
4×add-log-exp difference-of-squares
3×pow1 add-cube-cbrt distribute-lft-out--
2×add-cbrt-cube sqrt-div add-exp-log insert-posit16 distribute-lft-out
1×rem-sqrt-square sub-neg sqrt-pow1 flip3-+ flip3-- pow1/2 diff-log flip-+ flip--
Counts
2 → 37
Calls
2 calls:
21.0ms
(sqrt (+ x 1.0))
31.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

series153.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(sqrt (+ x 1.0))
105.0ms
(- (sqrt (+ x 1.0)) (sqrt x))

simplify1.5s

Counts
43 → 43
Iterations
IterNodes
done5000
31569
2532
1195
088

prune183.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 27.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x 1.0))
0.0b
(+ (sqrt (+ x 1.0)) (sqrt x))
0.0b
(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.4b
(+ x (- 1.0 x))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
109×*-un-lft-identity
45×distribute-lft-out
32×sqrt-prod
30×times-frac
19×add-sqr-sqrt
18×add-cube-cbrt
11×add-log-exp
8×distribute-lft-out--
6×associate-/r* add-cbrt-cube add-exp-log
5×pow1 flip3-+ flip-+ associate-/l*
4×insert-posit16
3×sum-log
2×+-commutative associate-+r+ associate-+r- sqrt-div associate-/r/ associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp div-inv
Counts
4 → 109
Calls
4 calls:
9.0ms
(sqrt (+ x 1.0))
25.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
72.0ms
(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
11.0ms
(+ x (- 1.0 x))

series378.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ x 1.0))
89.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
246.0ms
(/ (+ x (- 1.0 x)) (+ (sqrt (+ x 1.0)) (sqrt x)))
2.0ms
(+ x (- 1.0 x))

simplify1.4s

Counts
121 → 121
Iterations
IterNodes
done5001
21480
1446
0183

prune464.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
24×sqrt-prod
21×distribute-lft-out
18×times-frac
16×add-sqr-sqrt
15×add-cube-cbrt
6×associate-/r*
5×add-cbrt-cube add-exp-log add-log-exp
4×pow1
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 → 74
Calls
3 calls:
9.0ms
(sqrt (+ x 1.0))
37.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
44.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

series367.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(sqrt (+ x 1.0))
111.0ms
(+ (sqrt (+ x 1.0)) (sqrt x))
203.0ms
(/ 1.0 (+ (sqrt (+ x 1.0)) (sqrt x)))

simplify2.5s

Counts
83 → 83
Iterations
IterNodes
done5012
33786
21149
1374
0159

prune355.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
0.1b
(/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))
0.3b
(* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
82×sqrt-prod
74×*-un-lft-identity
32×distribute-lft-out
30×add-sqr-sqrt
28×sqrt-div
21×pow1
16×add-cube-cbrt
15×swap-sqr
14×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×sqrt-pow1 pow1/2
9×associate-*r* associate-*l*
8×frac-times associate-/r/
5×pow-prod-up
4×associate-*l/ associate-*r/ insert-posit16 add-log-exp unswap-sqr
3×times-frac pow-prod-down pow-sqr associate-/l*
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod
1×pow2 clear-num associate-/r* rem-square-sqrt frac-2neg pow-plus sqrt-unprod *-commutative div-inv
Counts
4 → 139
Calls
4 calls:
22.0ms
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
42.0ms
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
66.0ms
(/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))
163.0ms
(* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
241.0ms
(sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))
209.0ms
(/ 1.0 (* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x)))))
86.0ms
(* (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))) (sqrt (+ (sqrt (+ x 1.0)) (sqrt x))))

simplify2.4s

Counts
151 → 151
Iterations
IterNodes
done5002
21609
1559
0228

prune629.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes57.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done9
19
07

end0.0ms

sample2.3s

Algorithm
intervals
Results
857.0ms7851×body80nan
581.0ms1731×body1280valid
290.0ms1233×body640valid
279.0ms4077×body80valid
98.0ms636×body320valid
33.0ms323×body160valid