Details

Time bar (total: 15.3s)

sample37.0ms

Algorithm
intervals
Results
14.0ms308×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 7 (71.0ms)

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

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)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(fma (/ x z) y x)

simplify2.6s

Counts
13 → 13
Iterations

Useful iterations: 2 (17.0ms)

IterNodesCost
018110
125107
26195
320995
489795
done500195

prune76.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.2b
(/ (* x y) z)

rewrite56.0ms

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:
35.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

series84.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ (/ (* x y) z) x)
40.0ms
(/ (* x y) z)

simplify1.1s

Counts
50 → 50
Iterations

Useful iterations: done (1.1s)

IterNodesCost
071387
1189364
2944332
done5000313

prune279.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

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:
74.0ms
(+ (/ x (/ z y)) x)
19.0ms
(/ x (/ z y))

series83.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ (/ x (/ z y)) x)
37.0ms
(/ x (/ z y))

simplify1.6s

Counts
136 → 136
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01741081
14461012
22046943
done5002938

prune990.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) x)
0.9b
(/ 1 (/ z (* x y)))
6.2b
(/ z (* x y))

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
38×*-un-lft-identity
35×add-sqr-sqrt add-cube-cbrt
29×add-exp-log
26×fma-def
17×add-cbrt-cube
14×div-exp
11×div-inv
associate-/r*
cbrt-undiv
associate-/l*
add-log-exp
pow1 prod-exp
expm1-log1p-u rec-exp 1-exp log1p-expm1-u
frac-2neg clear-num associate-/r/ cbrt-unprod distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 122
Calls
3 calls:
85.0ms
(+ (/ 1 (/ z (* x y))) x)
30.0ms
(/ 1 (/ z (* x y)))
16.0ms
(/ z (* x y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (/ 1 (/ z (* x y))) x)
43.0ms
(/ 1 (/ z (* x y)))
36.0ms
(/ z (* x y))

simplify1.6s

Counts
131 → 131
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01441134
1366981
21838898
done5001895

prune660.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes303.0ms

Accuracy

41.3% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.1b

bsearch108.0ms

Steps
ItersRangePoint
8
5.461638927932447e-28
2.6139069941719747e-24
4.2219806557969334e-26
8
-2.5896045719466947e+78
-6.215183965753672e+74
-6.721102778608699e+76

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01428
11822
done1822

end0.0ms

sample1.6s

Algorithm
intervals
Results
561.0ms9594×body80valid