Details

Time bar (total: 13.3s)

sample24.0ms

Algorithm
intervals
Results
9.0ms310×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 7 (49.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

3.6b
(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:
0.0ms
(fma (/ x z) y x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ x z) y x)

simplify2.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
018110
125107
26195
320995
489795
done500195

prune64.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.5b
(/ (* x y) z)

rewrite27.0ms

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:
15.0ms
(+ (/ (* x y) z) x)
10.0ms
(/ (* x y) z)

series98.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (/ (* x y) z) x)
38.0ms
(/ (* x y) z)

simplify892.0ms

Counts
50 → 50
Iterations

Useful iterations: done (890.0ms)

IterNodesCost
071387
1189364
2944332
done5000313

prune137.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

4.1b
(fma (/ x 1) (/ y z) 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 1) (/ y z) x)

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(fma (/ x 1) (/ y z) x)

simplify3.5s

Counts
13 → 13
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
020136
131107
29495
337095
4248795
done500095

prune54.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) x)
0.8b
(/ 1 (/ z (* x y)))
6.1b
(/ z (* x y))

rewrite97.0ms

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:
41.0ms
(+ (/ 1 (/ z (* x y))) x)
36.0ms
(/ 1 (/ z (* x y)))
16.0ms
(/ z (* x y))

series83.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ 1 (/ z (* x y))) x)
24.0ms
(/ 1 (/ z (* x y)))
27.0ms
(/ z (* x y))

simplify1.2s

Counts
131 → 131
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01441134
1366981
21838898
done5001895

prune368.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

62.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 4.9b

bsearch77.0ms

Steps
ItersRangePoint
9
5.143538682761707e-80
8.745691868853264e-72
8.62450649905423e-72
8
-8.539314549090741e+55
-1.460697026387385e+53
-1.8227593907250866e+53

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01530
12021
done2021

end0.0ms

sample939.0ms

Algorithm
intervals
Results
475.0ms9589×body80valid