Details

Time bar (total: 18.1s)

sample23.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5003
61725
5509
4215
3116
252
126
013

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
0.0b
(- z (* (/ y 2.0) (/ t z)))
3.9b
(/ y (- z (* (/ y 2.0) (/ t z))))
7.3b
(* (/ y 2.0) (/ t z))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
67×*-un-lft-identity
65×add-cube-cbrt
59×times-frac
48×prod-diff
18×add-cbrt-cube add-exp-log
13×associate-*r* associate-*l*
associate-/r/ add-log-exp
pow1 flip3-- fma-neg div-inv flip--
cbrt-undiv div-exp
expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u unswap-sqr
associate-/r* associate-/l*
sub-neg diff-log difference-of-squares
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative distribute-lft-out--
Counts
4 → 172
Calls
4 calls:
35.0ms
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
6.0ms
(- z (* (/ y 2.0) (/ t z)))
9.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))
28.0ms
(* (/ y 2.0) (/ t z))

series460.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- x (/ y (- z (* (/ y 2.0) (/ t z)))))
58.0ms
(- z (* (/ y 2.0) (/ t z)))
266.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))
36.0ms
(* (/ y 2.0) (/ t z))

simplify2.2s

Counts
184 → 184
Iterations
IterNodes
done5001
22791
1872
0321

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
3.9b
(/ y (- z (* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))))
5.2b
(* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
27×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
24×add-cbrt-cube
22×associate-*r*
18×prod-exp cbrt-unprod
15×cbrt-prod
13×pow1
cbrt-undiv div-exp
pow-prod-down
associate-*l/
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
associate-/r* associate-/l*
pow1/3 associate-/r/ div-inv
frac-times clear-num frac-2neg flip3-- associate-*l* associate-*r/ *-commutative flip--
Counts
4 → 116
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
9.0ms
(/ y (- z (* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))))
135.0ms
(* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))

series873.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt t)
232.0ms
(cbrt t)
296.0ms
(/ y (- z (* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))))
67.0ms
(* (* (* (/ y 2.0) (cbrt t)) (cbrt t)) (/ (cbrt t) z))

simplify2.0s

Counts
128 → 128
Iterations
IterNodes
done5001
22305
1568
0206

prune768.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

localize65.0ms

Local error

Found 4 expressions with local error:

3.9b
(/ y (- z (* (/ y 2.0) (/ t z))))
7.3b
(* (/ y 2.0) (/ t z))
7.3b
(* (/ y 2.0) (/ t z))
7.3b
(* (/ y 2.0) (/ t z))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
75×times-frac
54×*-un-lft-identity add-cube-cbrt
42×add-cbrt-cube add-exp-log
39×associate-*r* associate-*l*
13×cbrt-undiv div-exp
12×prod-exp cbrt-unprod unswap-sqr
10×pow1
div-inv
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
frac-times associate-/r* pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
associate-/r/
clear-num frac-2neg flip3-- flip--
Counts
4 → 191
Calls
4 calls:
14.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))
21.0ms
(* (/ y 2.0) (/ t z))
31.0ms
(* (/ y 2.0) (/ t z))
33.0ms
(* (/ y 2.0) (/ t z))

series398.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(/ y (- z (* (/ y 2.0) (/ t z))))
54.0ms
(* (/ y 2.0) (/ t z))
49.0ms
(* (/ y 2.0) (/ t z))
51.0ms
(* (/ y 2.0) (/ t z))

simplify1.5s

Counts
203 → 203
Iterations
IterNodes
done5001
21461
1454
0168

prune1.5s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.5b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.4b
(- (* (* z 2.0) z) (* y t))
18.9b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×times-frac add-cbrt-cube add-exp-log
associate-/r/
add-log-exp
flip3-- flip--
fma-neg div-inv
expm1-log1p-u pow1 cbrt-undiv associate-/r* div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
sub-neg diff-log
clear-num frac-2neg associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 92
Calls
3 calls:
89.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
68.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series481.0ms

Counts
3 → 9
Calls
3 calls:
108.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
61.0ms
(- (* (* z 2.0) z) (* y t))
312.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify1.9s

Counts
101 → 101
Iterations
IterNodes
done5001
21899
1527
0191

prune633.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.5b

regimes344.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8000×body80valid