Details

Time bar (total: 8.9s)

sample15.0ms

Algorithm
intervals
Results
6.0ms312×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 7 (30.0ms)

IterNodesCost
067
1167
2247
3377
4447
5507
6547
7766
82756
915636
done50016

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

4.8b
(fma y (/ x 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:
0.0ms
(fma y (/ x z) x)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(fma y (/ x z) x)

simplify842.0ms

Counts
13 → 13
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
018110
125107
25495
313695
444995
5175495
done500095

prune26.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
6.7b
(/ (* x y) z)

rewrite14.0ms

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:
8.0ms
(+ (/ (* x y) z) x)
6.0ms
(/ (* x y) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ (* x y) z) x)
19.0ms
(/ (* x y) z)

simplify1.1s

Counts
50 → 50
Iterations

Useful iterations: 3 (273.0ms)

IterNodesCost
071387
1189364
2687332
33063312
done5000312

prune101.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x (/ z y)) x)
5.4b
(/ x (/ z y))

rewrite46.0ms

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:
34.0ms
(+ (/ x (/ z y)) x)
5.0ms
(/ x (/ z y))

series47.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(+ (/ x (/ z y)) x)
20.0ms
(/ x (/ z y))

simplify541.0ms

Counts
136 → 136
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
01741081
1399996
21534940
done5000940

prune335.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ z y) x)) x)
0.5b
(/ 1 (/ (/ z y) x))
5.4b
(/ (/ z y) x)

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
795×times-frac
382×*-un-lft-identity
378×add-sqr-sqrt add-cube-cbrt
134×fma-def
46×associate-/r*
36×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
cbrt-undiv
add-log-exp
pow1 associate-/r/
expm1-log1p-u rec-exp 1-exp log1p-expm1-u
frac-2neg clear-num distribute-lft-out
+-commutative distribute-rgt-out pow-flip distribute-lft1-in flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
101.0ms
(+ (/ 1 (/ (/ z y) x)) x)
14.0ms
(/ 1 (/ (/ z y) x))
6.0ms
(/ (/ z y) x)

series66.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(+ (/ 1 (/ (/ z y) x)) x)
26.0ms
(/ 1 (/ (/ z y) x))
18.0ms
(/ (/ z y) x)

simplify2.4s

Counts
434 → 434
Iterations

Useful iterations: 2 (477.0ms)

IterNodesCost
04484715
111144132
238483404
done50003404

prune887.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes103.0ms

Accuracy

27.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.1b

bsearch50.0ms

Steps
ItersRangePoint
7
2.888306154838042e-274
3.494548511993789e-272
6.550204375720548e-273
7
-1.8039622530449215e-78
-5.819700904334697e-80
-3.1812905980390256e-79

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01529
12123
done2123

end0.0ms

sample403.0ms

Algorithm
intervals
Results
204.0ms9600×body80valid