Details

Time bar (total: 10.2s)

sample37.0ms

Algorithm
intervals
Results
23.0ms345×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2000
101923
91530
81074
7692
6384
5226
4139
365
230
116
09

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

3.0b
(fma (- t z) (/ y a) 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 (- t z) (/ y a) x)

series72.0ms

Counts
1 → 3
Calls
1 calls:
72.0ms
(fma (- t z) (/ y a) x)

simplify848.0ms

Counts
14 → 14
Iterations
IterNodes
done2000
41424
3255
286
142
025

prune80.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (fma (- t z) (/ y a) x))
3.0b
(fma (- t z) (/ y a) x)
3.0b
(fma (- t z) (/ y a) x)
3.0b
(fma (- t z) (/ y a) 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 (- t z) (/ y a) x))
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)
0.0ms
(fma (- t z) (/ y a) x)

series465.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (fma (- t z) (/ y a) x))
59.0ms
(fma (- t z) (/ y a) x)
65.0ms
(fma (- t z) (/ y a) x)
70.0ms
(fma (- t z) (/ y a) x)

simplify480.0ms

Counts
59 → 59
Iterations
IterNodes
done2008
3972
2276
1120
063

prune322.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
8.5b
(/ (* y (- z t)) a)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt prod-diff
37×*-un-lft-identity
33×add-cube-cbrt
12×times-frac
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
pow1 associate-*r* add-log-exp
associate-*r/ div-inv
expm1-log1p-u associate-/r* sub-neg flip3-- fma-neg associate-*l* insert-posit16 log1p-expm1-u flip--
cbrt-undiv div-exp prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares associate-/l/
clear-num frac-2neg diff-log pow-prod-down *-commutative associate-/l* unswap-sqr
Counts
3 → 114
Calls
3 calls:
33.0ms
(* y (- z t))
6.0ms
(- x (/ (* y (- z t)) a))
15.0ms
(/ (* y (- z t)) a)

series175.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* y (- z t))
64.0ms
(- x (/ (* y (- z t)) a))
62.0ms
(/ (* y (- z t)) a)

simplify767.0ms

Counts
123 → 123
Iterations
IterNodes
done2003
21491
1554
0227

prune478.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.7b
(/ y (/ a (- z t)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
382×add-sqr-sqrt
375×*-un-lft-identity
287×add-cube-cbrt
204×prod-diff
46×difference-of-squares
44×distribute-lft-out--
32×associate-/r/
26×associate-/r*
18×div-inv
15×flip3-- flip--
10×add-cbrt-cube add-exp-log
associate-/l*
add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 fma-neg insert-posit16 log1p-expm1-u
clear-num frac-2neg
sub-neg diff-log
Counts
3 → 371
Calls
3 calls:
32.0ms
(- x (/ y (/ a (- z t))))
14.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series191.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- x (/ y (/ a (- z t))))
38.0ms
(/ a (- z t))
89.0ms
(/ y (/ a (- z t)))

simplify943.0ms

Counts
380 → 380
Iterations
IterNodes
done2005
11838
0671

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes400.0ms

Accuracy

70.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.3b

bsearch131.0ms

Steps
ItersRangePoint
10
1.3604530968859465e-33
1.297667465286412e-23
1.3603908647454576e-28
9
-2.1664976836902173e-51
-1.533400212308845e-56
-2.0994806737492123e-51

simplify9.0ms

Iterations
IterNodes
done35
335
234
130
021

end0.0ms

sample1.5s

Algorithm
intervals
Results
965.0ms10688×body80valid