Details

Time bar (total: 7.6s)

sample11.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ y 200.0))

rewrite11.0ms

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:
8.0ms
(- x (/ y 200.0))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (/ y 200.0))

simplify1.8s

Counts
62 → 62
Iterations

Useful iterations: 3 (896.0ms)

IterNodesCost
01551719
13611503
29761004
33676735
done5000735

prune66.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (/ y (sqrt 200.0)) (sqrt 200.0)))
0.2b
(/ y (sqrt 200.0))
0.2b
(/ y (sqrt 200.0))
0.3b
(/ (/ y (sqrt 200.0)) (sqrt 200.0))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
1024×times-frac
701×add-sqr-sqrt
679×*-un-lft-identity
677×add-cube-cbrt
521×sqrt-prod
408×prod-diff
31×div-inv
28×associate-/l*
18×associate-/r*
13×add-exp-log add-cbrt-cube
7×difference-of-squares
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg fma-neg clear-num
1×sub-neg flip3-- diff-log flip-- associate-/l/ distribute-lft-out--
Counts
4 → 692
Calls
4 calls:
63.0ms
(- x (/ (/ y (sqrt 200.0)) (sqrt 200.0)))
3.0ms
(/ y (sqrt 200.0))
3.0ms
(/ y (sqrt 200.0))
10.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))

series308.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- x (/ (/ y (sqrt 200.0)) (sqrt 200.0)))
53.0ms
(/ y (sqrt 200.0))
53.0ms
(/ y (sqrt 200.0))
90.0ms
(/ (/ y (sqrt 200.0)) (sqrt 200.0))

simplify872.0ms

Counts
704 → 704
Iterations

Useful iterations: done (831.0ms)

IterNodesCost
093733214
1244528570
done500028341

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
59.8b
(fma (- (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0))) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0))) (* (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0)) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0)))))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(fma (- (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0))) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0))) (* (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0)) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0)))))

series1.6s

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
178.0ms
(cbrt y)
176.0ms
(cbrt y)
1.1s
(fma (- (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0))) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0))) (* (/ (/ (cbrt y) (sqrt (cbrt 200.0))) (sqrt 200.0)) (/ (* (cbrt y) (cbrt y)) (fabs (cbrt 200.0)))))

simplify569.0ms

Counts
61 → 61
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
048716
182704
2204494
3832452
done5000452

prune340.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes74.0ms

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

sample250.0ms

Algorithm
intervals
Results
129.0ms8000×body80valid