Details

Time bar (total: 13.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms105×body80nan

simplify2.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

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))))

rewrite78.0ms

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:
7.0ms
(sqrt (+ x 1.0))
17.0ms
(+ 1.0 (sqrt (+ x 1.0)))
51.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

series268.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(sqrt (+ x 1.0))
51.0ms
(+ 1.0 (sqrt (+ x 1.0)))
185.0ms
(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done5000
21079
1316
0137

prune270.0ms

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
(sqrt (+ x 1.0))
0.0b
(+ 1.0 (sqrt (+ x 1.0)))
0.1b
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.2b
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
99×*-un-lft-identity
64×add-sqr-sqrt
63×add-cube-cbrt
19×associate-/r*
18×distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
8×div-exp
7×associate-/l*
6×pow1 div-inv add-log-exp
4×cbrt-undiv sqrt-prod
3×flip3-+ flip-+
2×rec-exp clear-num frac-2neg sqrt-div 1-exp associate-/l/
1×+-commutative rem-sqrt-square sum-log sqrt-pow1 pow1/2 associate-/r/ pow-flip inv-pow
Counts
4 → 149
Calls
4 calls:
8.0ms
(sqrt (+ x 1.0))
13.0ms
(+ 1.0 (sqrt (+ x 1.0)))
51.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
29.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series401.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(sqrt (+ x 1.0))
63.0ms
(+ 1.0 (sqrt (+ x 1.0)))
104.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) x)
197.0ms
(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify1.3s

Counts
161 → 161
Iterations
IterNodes
done5000
21791
1630
0248

prune538.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize36.0ms

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)))
3.6b
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
6.3b
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

rewrite339.0ms

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/ 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:
233.0ms
(* (/ 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))))))
35.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
21.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
38.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
517.0ms
(* (/ 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))))))
29.0ms
(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
75.0ms
(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
265.0ms
(/ x (+ (* 1.0 (* 1.0 1.0)) (* (+ 1.0 x) (sqrt (+ 1.0 x)))))

simplify2.6s

Counts
183 → 183
Iterations
IterNodes
done5008
24585
11201
0384

prune859.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

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)))

rewrite133.0ms

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:
6.0ms
(sqrt (+ x 1.0))
23.0ms
(+ 1.0 (sqrt (+ x 1.0)))
53.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
36.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (+ x 1.0))
57.0ms
(+ 1.0 (sqrt (+ x 1.0)))
211.0ms
(/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x))
165.0ms
(/ (sqrt x) (/ (+ 1.0 (sqrt (+ x 1.0))) (sqrt x)))

simplify1.9s

Counts
305 → 305
Iterations
IterNodes
done5000
22571
1973
0372

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample688.0ms

Algorithm
intervals
Results
413.0ms7999×body80valid
80.0ms2685×body80nan
0.0ms1×body1280valid