Details

Time bar (total: 12.2s)

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
2.0ms102×body80nan

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

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))))

rewrite72.0ms

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-+ 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 → 61
Calls
3 calls:
10.0ms
(sqrt (+ x 1.0))
14.0ms
(+ 1.0 (sqrt (+ x 1.0)))
46.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series292.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(sqrt (+ x 1.0))
62.0ms
(+ 1.0 (sqrt (+ x 1.0)))
185.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.1s

Counts
70 → 70
Iterations
IterNodes
done5000
21495
1316
0137

prune330.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite104.0ms

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-+ 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 → 61
Calls
3 calls:
11.0ms
(sqrt (+ x 1.0))
45.0ms
(+ (sqrt (+ x 1.0)) 1.0)
45.0ms
(/ x (+ (sqrt (+ x 1.0)) 1.0))

series310.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(sqrt (+ x 1.0))
69.0ms
(+ (sqrt (+ x 1.0)) 1.0)
203.0ms
(/ x (+ (sqrt (+ x 1.0)) 1.0))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5001
21488
1315
0137

prune337.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 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)))
4.6b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.1b
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

rewrite463.0ms

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 pow3
13×add-cbrt-cube add-exp-log
11×swap-sqr
10×associate-*r*
9×associate-*l/
8×sqrt-pow1 pow1/2
7×sum-cubes
6×distribute-lft-out add-log-exp unswap-sqr
5×pow-prod-up
4×associate-/r* pow-prod-down associate-/r/ 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 → 171
Calls
4 calls:
323.0ms
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
54.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
24.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
54.0ms
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

series994.0ms

Counts
4 → 12
Calls
4 calls:
599.0ms
(* (/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x))))) (+ (* 1.0 1.0) (- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))))
22.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
74.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
299.0ms
(/ x (+ (* (* 1.0 1.0) 1.0) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

simplify1.5s

Counts
183 → 183
Iterations
IterNodes
done5000
11213
0384

prune1.1s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

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
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 → 293
Calls
4 calls:
7.0ms
(sqrt (+ x 1.0))
24.0ms
(+ (sqrt (+ x 1.0)) 1.0)
112.0ms
(/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x))
81.0ms
(/ (sqrt x) (/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x)))

series450.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (+ x 1.0))
66.0ms
(+ (sqrt (+ x 1.0)) 1.0)
189.0ms
(/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x))
159.0ms
(/ (sqrt x) (/ (+ (sqrt (+ x 1.0)) 1.0) (sqrt x)))

simplify1.4s

Counts
305 → 305
Iterations
IterNodes
done5000
1977
0372

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample633.0ms

Algorithm
intervals
Results
277.0ms7997×body80valid
137.0ms2708×body80nan
1.0ms3×body1280valid