Details

Time bar (total: 13.3s)

sample20.0ms

Algorithm
intervals
Results
12.0ms288×body80valid

simplify53.0ms

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

4.7b
(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:
0.0ms
(fma y (/ x z) x)

series42.0ms

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

simplify2.7s

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

prune55.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* y (/ x z)) x)
5.3b
(* y (/ x z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×*-un-lft-identity times-frac add-cube-cbrt
add-cbrt-cube add-exp-log
pow1 add-log-exp
associate-*l*
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
cbrt-undiv +-commutative sum-log fma-def flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
14.0ms
(+ (* y (/ x z)) x)
14.0ms
(* y (/ x z))

series74.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* y (/ x z)) x)
34.0ms
(* y (/ x z))

simplify2.2s

Counts
56 → 56
Iterations
IterNodes
done5003
33250
2772
1246
096

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.0b
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
80.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

series736.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt x)
191.0ms
(cbrt x)
244.0ms
(cbrt x)
57.0ms
(* (* (* y (cbrt x)) (cbrt x)) (/ (cbrt x) z))

simplify1.3s

Counts
104 → 104
Iterations
IterNodes
done5000
21421
1379
0127

prune397.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (* y (cbrt x)) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
3.6b
(cbrt (/ (cbrt x) z))
3.6b
(cbrt (/ (cbrt x) z))
3.6b
(cbrt (/ (cbrt x) z))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
93×cbrt-prod
54×times-frac
43×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
25×pow1 add-exp-log
15×pow-prod-down prod-exp cbrt-unprod
13×add-cbrt-cube
cbrt-div
expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
pow1/3 div-inv
frac-times associate-*r* associate-*l* associate-*l/ *-commutative
Counts
4 → 136
Calls
4 calls:
64.0ms
(* (* (* y (cbrt x)) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
1.0ms
(cbrt (/ (cbrt x) z))
1.0ms
(cbrt (/ (cbrt x) z))
2.0ms
(cbrt (/ (cbrt x) z))

series788.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (* (* y (cbrt x)) (cbrt x)) (* (cbrt (/ (cbrt x) z)) (cbrt (/ (cbrt x) z))))
180.0ms
(cbrt (/ (cbrt x) z))
189.0ms
(cbrt (/ (cbrt x) z))
181.0ms
(cbrt (/ (cbrt x) z))

simplify2.7s

Counts
148 → 148
Iterations
IterNodes
done5003
34284
21131
1374
0175

prune731.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

20% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify6.0ms

Iterations
IterNodes
done26
126
018

end0.0ms

sample840.0ms

Algorithm
intervals
Results
601.0ms9518×body80valid