Details

Time bar (total: 16.9s)

sample27.0ms

Algorithm
intervals
Results
10.0ms256×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))

rewrite35.0ms

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:
28.0ms
(- x (/ y 200.0))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(- x (/ y 200.0))

simplify3.6s

Counts
62 → 62
Iterations

Useful iterations: done (3.6s)

IterNodesCost
01551719
13611503
29191004
33147735
done5000408

prune83.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite238.0ms

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:
4.0ms
(cbrt (/ y 200.0))
7.0ms
(pow (cbrt (/ y 200.0)) 6)
40.0ms
(- (* x x) (pow (cbrt (/ y 200.0)) 6))
173.0ms
(/ (- (* x x) (pow (cbrt (/ y 200.0)) 6)) (+ x (/ y 200.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
328.0ms
(cbrt (/ y 200.0))
491.0ms
(pow (cbrt (/ y 200.0)) 6)
114.0ms
(- (* x x) (pow (cbrt (/ y 200.0)) 6))
178.0ms
(/ (- (* x x) (pow (cbrt (/ y 200.0)) 6)) (+ x (/ y 200.0)))

simplify1.8s

Counts
172 → 172
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03453767
17513395
220862883
done50002662

prune552.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite51.0ms

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:
4.0ms
(cbrt (/ y 200.0))
11.0ms
(pow (cbrt (/ y 200.0)) 6)
0.0ms
(fma x x (- (pow (cbrt (/ y 200.0)) 6)))
30.0ms
(/ (fma x x (- (pow (cbrt (/ y 200.0)) 6))) (+ x (/ y 200.0)))

series962.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt (/ y 200.0))
373.0ms
(pow (cbrt (/ y 200.0)) 6)
115.0ms
(fma x x (- (pow (cbrt (/ y 200.0)) 6)))
196.0ms
(/ (fma x x (- (pow (cbrt (/ y 200.0)) 6))) (+ x (/ y 200.0)))

simplify2.3s

Counts
114 → 114
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01901708
13701648
29021500
334271466
done50021465

prune429.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite528.0ms

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:
26.0ms
(sqrt (+ x (/ y 200.0)))
300.0ms
(* (/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0)))) (/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0)))))
109.0ms
(/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0))))
73.0ms
(/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0))))

series446.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (+ x (/ y 200.0)))
82.0ms
(* (/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0)))) (/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0)))))
187.0ms
(/ (- x (/ y 200.0)) (sqrt (+ x (/ y 200.0))))
87.0ms
(/ (+ (/ y 200.0) x) (sqrt (+ x (/ y 200.0))))

simplify3.3s

Counts
276 → 276
Iterations

Useful iterations: done (3.2s)

IterNodesCost
03336738
19426313
231645779
done50004793

prune803.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes83.0ms

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

sample434.0ms

Algorithm
intervals
Results
190.0ms8000×body80valid