Details

Time bar (total: 30.8s)

sample79.0ms

Algorithm
intervals
Results
30.0ms256×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 1 expressions with local error:

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

rewrite643.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
634.0ms
(/ (+ x 1.0) (- 1.0 x))

series204.0ms

Counts
1 → 3
Calls
1 calls:
204.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify4.5s

Counts
48 → 48
Iterations

Useful iterations: done (4.3s)

IterNodesCost
091630
1211607
2834569
done5000562

prune637.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite352.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
218.0ms
(/ (- 1.0 x) (+ x 1.0))
108.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series251.0ms

Counts
2 → 6
Calls
2 calls:
148.0ms
(/ (- 1.0 x) (+ x 1.0))
102.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify8.3s

Counts
180 → 180
Iterations

Useful iterations: done (8.2s)

IterNodesCost
02283040
16082599
236012495
done50022442

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite757.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
94×add-sqr-sqrt
74×times-frac
61×sqrt-prod
46×add-cube-cbrt
41×associate-*r*
15×distribute-lft-out-- difference-of-squares
14×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-div
8×pow1
7×associate-*l* associate-/l*
6×unswap-sqr
5×flip3-+ associate-/r* flip-+
4×associate-/r/ add-log-exp
2×cbrt-undiv frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
4 → 167
Calls
4 calls:
20.0ms
(sqrt (+ x 1.0))
20.0ms
(sqrt (+ x 1.0))
346.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
197.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

series855.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(sqrt (+ x 1.0))
66.0ms
(sqrt (+ x 1.0))
110.0ms
(* (sqrt (+ x 1.0)) (/ (sqrt (+ x 1.0)) (- 1.0 x)))
620.0ms
(/ (sqrt (+ x 1.0)) (- 1.0 x))

simplify10.6s

Counts
179 → 179
Iterations

Useful iterations: done (10.5s)

IterNodesCost
02062737
15132501
238642208
done50012152

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
167
done67

end0.0ms

sample760.0ms

Algorithm
intervals
Results
512.0ms8000×body80valid