Details

Time bar (total: 9.5s)

sample96.0ms

Algorithm
intervals
Results
26.0ms44×body1280valid
22.0ms169×body80valid
19.0ms51×body640valid
5.0ms85×body80nan
4.0ms16×body320valid
2.0ms16×body160valid

simplify47.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ (pow (/ x (+ x y)) x) x)
6.8b
(pow (/ x (+ x y)) x)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
118×*-un-lft-identity
90×unpow-prod-down
80×add-sqr-sqrt add-cube-cbrt
25×associate-/l*
19×distribute-lft-out
16×add-exp-log
12×associate-/r/
7×div-exp associate-/r* add-cbrt-cube div-inv
6×flip3-+ flip-+
5×sqr-pow
4×pow1 pow-exp
3×pow-unpow add-log-exp
2×cbrt-undiv pow-to-exp frac-2neg clear-num
1×pow-pow
Counts
3 → 172
Calls
3 calls:
15.0ms
(/ x (+ x y))
55.0ms
(/ (pow (/ x (+ x y)) x) x)
23.0ms
(pow (/ x (+ x y)) x)

series578.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(/ x (+ x y))
182.0ms
(/ (pow (/ x (+ x y)) x) x)
323.0ms
(pow (/ x (+ x y)) x)

simplify75.0ms

Counts
181 → 181

prune559.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.7b
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
61×unpow-prod-down
51×cbrt-prod
48×*-un-lft-identity
43×times-frac
36×add-sqr-sqrt add-cube-cbrt
20×add-exp-log
14×cbrt-div
10×associate-/r/
7×flip3-+ pow-exp flip-+
6×pow1 pow-unpow distribute-lft-out
5×div-exp
4×frac-times prod-exp add-cbrt-cube add-log-exp
2×pow-to-exp pow-pow pow1/3 associate-*r/ associate-*l/ div-inv sqr-pow
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
33.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
59.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series1.3s

Counts
4 → 12
Calls
4 calls:
308.0ms
(cbrt x)
225.0ms
(cbrt x)
336.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
426.0ms
(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify70.0ms

Counts
128 → 128

prune655.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.0b
(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.4b
(log (/ (cbrt x) (cbrt (+ x y))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
96×cbrt-prod
85×*-un-lft-identity
84×times-frac
61×add-sqr-sqrt add-cube-cbrt
48×unpow-prod-down log-prod
12×distribute-lft-out
10×add-exp-log
6×pow1
4×cbrt-div associate-/r/ add-cbrt-cube add-log-exp
3×pow-unpow
2×flip3-+ pow1/3 div-exp rem-log-exp pow-exp flip-+ div-inv
1×pow-to-exp log-div pow-pow log-pow sqr-pow
Counts
4 → 144
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
25.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
9.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

series957.0ms

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt x)
255.0ms
(cbrt x)
336.0ms
(pow (/ (cbrt x) (cbrt (+ x y))) x)
90.0ms
(log (/ (cbrt x) (cbrt (+ x y))))

simplify67.0ms

Counts
156 → 156

prune897.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

Accuracy

99.3% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 5.9b

bsearch144.0ms

Steps
ItersRangePoint
8
0.015786731860040905
4.45864614599283
4.395331218668958
11
-1.917868757676453e+43
-6.317027068542834e+21
-3.9384393313385246e+38

simplify70.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.1s1528×body1280valid
913.0ms1485×body640valid
528.0ms4770×body80valid
297.0ms873×body320valid
234.0ms3093×body80nan
73.0ms441×body160valid