Details

Time bar (total: 8.2s)

sample31.0ms

Algorithm
intervals
Results
18.0ms345×body80valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done2000
141997
131448
121088
11777
10527
9358
8284
7211
6171
5129
482
344
224
115
09

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 1 expressions with local error:

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

series72.0ms

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

simplify777.0ms

Counts
14 → 14
Iterations
IterNodes
done2000
41459
3254
286
142
025

prune58.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (fma (- z t) (/ y a) x))
3.0b
(fma (- z t) (/ y a) x)
3.0b
(fma (- z t) (/ y a) x)
3.0b
(fma (- z t) (/ 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 (- z t) (/ y a) x))
0.0ms
(fma (- z t) (/ y a) x)
0.0ms
(fma (- z t) (/ y a) x)
0.0ms
(fma (- z t) (/ y a) x)

series413.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt (fma (- z t) (/ y a) x))
64.0ms
(fma (- z t) (/ y a) x)
59.0ms
(fma (- z t) (/ y a) x)
58.0ms
(fma (- z t) (/ y a) x)

simplify535.0ms

Counts
59 → 59
Iterations
IterNodes
done2000
3971
2276
1120
063

prune327.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
pow1 associate-*r* add-log-exp
associate-*r/
expm1-log1p-u associate-/r* fma-def times-frac associate-*l* insert-posit16 log1p-expm1-u
cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 91
Calls
3 calls:
11.0ms
(+ x (/ (* y (- z t)) a))
23.0ms
(* y (- z t))
21.0ms
(/ (* y (- z t)) a)

series224.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ x (/ (* y (- z t)) a))
61.0ms
(* y (- z t))
77.0ms
(/ (* y (- z t)) a)

simplify551.0ms

Counts
100 → 100
Iterations
IterNodes
done2000
21152
1436
0173

prune423.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
104×add-sqr-sqrt
72×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube add-exp-log
div-inv associate-/l*
flip3-- flip-- add-log-exp
cbrt-undiv div-exp
expm1-log1p-u pow1 fma-def insert-posit16 log1p-expm1-u
clear-num frac-2neg
+-commutative sum-log flip3-+ flip-+ distribute-lft-out
Counts
3 → 163
Calls
3 calls:
14.0ms
(+ x (/ y (/ a (- z t))))
8.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series179.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (/ y (/ a (- z t))))
40.0ms
(/ a (- z t))
82.0ms
(/ y (/ a (- z t)))

simplify466.0ms

Counts
172 → 172
Iterations
IterNodes
done2000
1642
0254

prune644.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes353.0ms

Accuracy

70.8% (0.7b remaining)

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

bsearch148.0ms

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

simplify11.0ms

Iterations
IterNodes
done37
337
236
132
021

end0.0ms

sample1.4s

Algorithm
intervals
Results
974.0ms10688×body80valid