Details

Time bar (total: 13.4s)

sample34.0ms

Algorithm
intervals
Results
17.0ms300×body80valid

simplify102.0ms

Counts
1 → 1
Iterations
IterNodes
done65
965
863
760
654
550
443
335
222
116
06

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

3.8b
(fma y (/ x z) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
1.0ms
(fma y (/ x z) x)

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(fma y (/ x z) x)

simplify2.9s

Counts
14 → 14
Iterations
IterNodes
done5001
52244
4717
3201
263
128
019

prune79.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma y (/ x z) x))
3.8b
(fma y (/ x z) x)
3.8b
(fma y (/ x z) x)
3.8b
(fma y (/ x z) x)

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
cbrt-prod fma-udef
pow1/3
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt (fma y (/ x z) x))
0.0ms
(fma y (/ x z) x)
0.0ms
(fma y (/ x z) x)
0.0ms
(fma y (/ x z) x)

series304.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt (fma y (/ x z) x))
40.0ms
(fma y (/ x z) x)
36.0ms
(fma y (/ x z) x)
40.0ms
(fma y (/ x z) x)

simplify2.3s

Counts
59 → 59
Iterations
IterNodes
done5000
43914
3879
2253
1106
057

prune279.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.1b
(/ (* x (+ y z)) z)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r* associate-*r/
associate-/r* times-frac associate-*l*
expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 52
Calls
2 calls:
14.0ms
(* x (+ y z))
15.0ms
(/ (* x (+ y z)) z)

series72.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* x (+ y z))
41.0ms
(/ (* x (+ y z)) z)

simplify2.6s

Counts
58 → 58
Iterations
IterNodes
done5000
34341
2888
1254
092

prune225.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
3.1b
(* x (/ (+ y z) z))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-cbrt-cube add-exp-log
distribute-lft-out
pow1 associate-/l*
associate-/r* associate-*l*
expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
32.0ms
(/ (+ y z) z)
33.0ms
(* x (/ (+ y z) z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ (+ y z) z)
59.0ms
(* x (/ (+ y z) z))

simplify2.5s

Counts
80 → 80
Iterations
IterNodes
done5003
34104
2824
1254
0103

prune276.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes246.0ms

Accuracy

86.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify14.0ms

Iterations
IterNodes
done34
334
231
128
022

end0.0ms

sample1.1s

Algorithm
intervals
Results
410.0ms9676×body80valid