Details

Time bar (total: 13.4s)

sample44.0ms

Algorithm
intervals
Results
27.0ms300×body80valid

simplify86.0ms

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
1×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:
0.0ms
(fma y (/ x z) x)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(fma y (/ x z) x)

simplify3.1s

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

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod fma-udef
1×pow1/3
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (fma y (/ x z) x))
0.0ms
(fma y (/ x z) x)
0.0ms
(fma y (/ x z) x)
1.0ms
(fma y (/ x z) x)

series300.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(cbrt (fma y (/ x z) x))
33.0ms
(fma y (/ x z) x)
46.0ms
(fma y (/ x z) x)
48.0ms
(fma y (/ x z) x)

simplify2.4s

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

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×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:
18.0ms
(* x (+ y z))
20.0ms
(/ (* x (+ y z)) z)

series86.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (+ y z))
52.0ms
(/ (* x (+ y z)) z)

simplify2.4s

Counts
58 → 58
Iterations
IterNodes
done5000
34341
2888
1254
092

prune194.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-/r* associate-*l*
2×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/
1×clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+
Counts
2 → 74
Calls
2 calls:
17.0ms
(/ (+ y z) z)
17.0ms
(* x (/ (+ y z) z))

series98.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ y z) z)
63.0ms
(* x (/ (+ y z) z))

simplify2.6s

Counts
80 → 80
Iterations
IterNodes
done5003
34104
2824
1254
0103

prune260.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes244.0ms

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

sample1.0s

Algorithm
intervals
Results
767.0ms9676×body80valid