Details

Time bar (total: 16.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
175
2105
done105

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×prod-diff
38×*-un-lft-identity
36×add-cube-cbrt
28×times-frac
3×fma-neg div-inv add-log-exp
2×difference-of-squares
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u distribute-lft-out--
Counts
1 → 59
Calls
1 calls:
26.0ms
(- x (/ y 200.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- x (/ y 200.0))

simplify3.4s

Counts
62 → 62
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01551719
13611503
29191004
33147735
done5000408

prune56.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ y 200.0))
0.7b
(pow (cbrt (/ y 200.0)) 6)
3.8b
(- (* x x) (pow (cbrt (/ y 200.0)) 6))
27.5b
(/ (- (* x x) (pow (cbrt (/ y 200.0)) 6)) (+ x (/ y 200.0)))

rewrite234.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
65×times-frac
61×*-un-lft-identity
51×cbrt-prod
50×unpow-prod-down
43×add-cube-cbrt
30×difference-of-squares
20×prod-diff
9×distribute-lft-out
8×associate-/l* sqr-pow
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u div-inv
3×pow-unpow
2×flip3-- pow-pow pow1/3 associate-/r/ flip-- associate-/l/
1×cbrt-undiv pow-to-exp sub-neg cbrt-div frac-2neg flip3-+ fma-neg diff-log div-sub div-exp pow-exp clear-num flip-+
Counts
4 → 160
Calls
4 calls:
5.0ms
(cbrt (/ y 200.0))
14.0ms
(pow (cbrt (/ y 200.0)) 6)
37.0ms
(- (* x x) (pow (cbrt (/ y 200.0)) 6))
164.0ms
(/ (- (* x x) (pow (cbrt (/ y 200.0)) 6)) (+ x (/ y 200.0)))

series1.2s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt (/ y 200.0))
518.0ms
(pow (cbrt (/ y 200.0)) 6)
134.0ms
(- (* x x) (pow (cbrt (/ y 200.0)) 6))
173.0ms
(/ (- (* x x) (pow (cbrt (/ y 200.0)) 6)) (+ x (/ y 200.0)))

simplify1.7s

Counts
172 → 172
Iterations

Useful iterations: done (1.7s)

IterNodesCost
03453767
17513395
220862883
done50002662

prune562.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ y 200.0))
0.7b
(pow (cbrt (/ y 200.0)) 6)
1.3b
(fma x x (- (pow (cbrt (/ y 200.0)) 6)))
27.5b
(/ (fma x x (- (pow (cbrt (/ y 200.0)) 6))) (+ x (/ y 200.0)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
30×times-frac
29×add-sqr-sqrt add-cube-cbrt
26×cbrt-prod
16×unpow-prod-down
7×add-exp-log
6×add-cbrt-cube
5×pow1
4×expm1-log1p-u associate-/r* log1p-expm1-u distribute-lft-out add-log-exp
3×pow-unpow div-inv associate-/l*
2×pow-pow pow1/3 associate-/r/
1×cbrt-undiv pow-to-exp cbrt-div frac-2neg flip3-+ div-exp pow-exp clear-num flip-+ fma-udef sqr-pow
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt (/ y 200.0))
13.0ms
(pow (cbrt (/ y 200.0)) 6)
0.0ms
(fma x x (- (pow (cbrt (/ y 200.0)) 6)))
23.0ms
(/ (fma x x (- (pow (cbrt (/ y 200.0)) 6))) (+ x (/ y 200.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
265.0ms
(cbrt (/ y 200.0))
516.0ms
(pow (cbrt (/ y 200.0)) 6)
155.0ms
(fma x x (- (pow (cbrt (/ y 200.0)) 6)))
191.0ms
(/ (fma x x (- (pow (cbrt (/ y 200.0)) 6))) (+ x (/ y 200.0)))

simplify2.5s

Counts
114 → 114
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01901708
13701648
29021500
334271466
done50021465

prune371.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ x (/ y 200.0)))
0.3b
(* (/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0)))) (/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0)))))
0.3b
(/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0))))
0.3b
(/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0))))

rewrite514.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
187×*-un-lft-identity
168×times-frac
98×sqrt-prod
81×add-cube-cbrt
48×associate-*r*
38×distribute-lft-out
34×associate-*l*
30×difference-of-squares
20×add-exp-log add-cbrt-cube
15×distribute-lft-out--
14×associate-/r*
10×sqrt-div associate-/l*
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv flip3-+ div-exp flip-+
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp
2×frac-2neg clear-num hypot-def
1×frac-times rem-sqrt-square flip3-- sqrt-pow1 pow1/2 div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative flip--
Counts
4 → 264
Calls
4 calls:
27.0ms
(sqrt (+ x (/ y 200.0)))
273.0ms
(* (/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0)))) (/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0)))))
88.0ms
(/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0))))
106.0ms
(/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0))))

series377.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (+ x (/ y 200.0)))
61.0ms
(* (/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0)))) (/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0)))))
161.0ms
(/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0))))
71.0ms
(/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0))))

simplify3.2s

Counts
276 → 276
Iterations

Useful iterations: done (3.2s)

IterNodesCost
03336738
19426313
231645779
done50004793

prune750.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes87.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
done55

end0.0ms

sample526.0ms

Algorithm
intervals
Results
265.0ms8000×body80valid