Details

Time bar (total: 12.3s)

sample41.0ms

Algorithm
intervals
Results
19.0ms312×body80valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 7 (68.0ms)

IterNodesCost
067
1167
2247
3377
4467
5527
6567
71246
82916
96966
1017936
1144156
done50006

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

4.6b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (/ x z) y x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(fma (/ x z) y x)

simplify2.1s

Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
018110
125107
26195
320995
489795
done500195

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
7.3b
(/ (* x y) z)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
add-exp-log fma-def add-cbrt-cube
add-sqr-sqrt add-cube-cbrt times-frac
add-log-exp
associate-/r*
pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ distribute-lft-out associate-/l*
Counts
2 → 44
Calls
2 calls:
16.0ms
(+ (/ (* x y) z) x)
15.0ms
(/ (* x y) z)

series62.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (/ (* x y) z) x)
29.0ms
(/ (* x y) z)

simplify913.0ms

Counts
50 → 50
Iterations

Useful iterations: done (911.0ms)

IterNodesCost
071387
1189364
2944332
done5000313

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
6.0b
(/ x (/ z y))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
81×*-un-lft-identity
79×add-sqr-sqrt add-cube-cbrt
44×fma-def
13×associate-/r*
div-inv
add-exp-log add-cbrt-cube
add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u associate-/r/ log1p-expm1-u
+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
70.0ms
(+ (/ x (/ z y)) x)
20.0ms
(/ x (/ z y))

series76.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ (/ x (/ z y)) x)
38.0ms
(/ x (/ z y))

simplify1.4s

Counts
136 → 136
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01741081
14461012
22046943
done5002938

prune494.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b
(/ x (* (cbrt (/ z y)) (cbrt (/ z y))))
12.7b
(cbrt (/ z y))
12.7b
(cbrt (/ z y))
12.7b
(cbrt (/ z y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
30×times-frac
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log
cbrt-div add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
pow1/3 associate-/r/ associate-/l*
cbrt-undiv div-exp
frac-times frac-2neg associate-*r/ associate-*l/ prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 98
Calls
4 calls:
27.0ms
(/ x (* (cbrt (/ z y)) (cbrt (/ z y))))
5.0ms
(cbrt (/ z y))
5.0ms
(cbrt (/ z y))
5.0ms
(cbrt (/ z y))

series413.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(/ x (* (cbrt (/ z y)) (cbrt (/ z y))))
90.0ms
(cbrt (/ z y))
68.0ms
(cbrt (/ z y))
117.0ms
(cbrt (/ z y))

simplify1.4s

Counts
110 → 110
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01391153
12551106
26041024
32283994
done5000962

prune406.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes122.0ms

Accuracy

42.6% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.9b

bsearch77.0ms

Steps
ItersRangePoint
6
1.1618008079275236e+85
9.286800667846946e+85
3.163987042355707e+85
7
-8.604606439169755e+24
-8.287722572445768e+22
-4.923107185213974e+23

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01427
11822
done1822

end0.0ms

sample919.0ms

Algorithm
intervals
Results
488.0ms9607×body80valid