Details

Time bar (total: 15.7s)

sample34.0ms

Algorithm
intervals
Results
16.0ms302×body80valid

simplify130.0ms

Counts
1 → 1
Iterations

Useful iterations: 7 (83.0ms)

IterNodesCost
067
1167
2247
3377
4447
5507
6547
7646
8666
done666

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

3.2b
(fma (/ y z) x x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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 (/ y z) x x)

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(fma (/ y z) x x)

simplify5.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
018110
126107
25695
319995
482395
5383095
done500095

prune49.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.2b
(fma (/ x z) y x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×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)

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(fma (/ x z) y x)

simplify3.0s

Counts
13 → 13
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
018110
125107
25095
316195
456295
5254195
done500095

prune46.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
8.5b
(/ (* x y) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
8×*-un-lft-identity
7×add-exp-log fma-def add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt times-frac
4×add-log-exp
3×associate-/r*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv
1×+-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)
11.0ms
(/ (* x y) z)

series85.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (/ (* x y) z) x)
24.0ms
(/ (* x y) z)

simplify2.5s

Counts
50 → 50
Iterations

Useful iterations: 3 (816.0ms)

IterNodesCost
071387
1175364
2572332
32527312
done5000312

prune125.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
4.2b
(/ x (/ z y))

rewrite127.0ms

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*
9×div-inv
7×add-exp-log add-cbrt-cube
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ distribute-lft-out
Counts
2 → 130
Calls
2 calls:
94.0ms
(+ (/ x (/ z y)) x)
20.0ms
(/ x (/ z y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (/ x (/ z y)) x)
42.0ms
(/ x (/ z y))

simplify2.7s

Counts
136 → 136
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01741081
1374996
21134940
33517934
done5000934

prune573.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes146.0ms

Accuracy

-6.4% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.0b

bsearch88.0ms

Steps
ItersRangePoint
8
8.79270723422623e-217
5.529713972047881e-213
7.318632377525781e-214
8
-9.730710368509061e-176
-1.2187091112267567e-178
-7.49177814034441e-177

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01627
11727
done1727

end0.0ms

sample870.0ms

Algorithm
intervals
Results
481.0ms9578×body80valid