Details

Time bar (total: 53.8s)

sample171.0ms

Algorithm
intervals
Results
50.0ms256×body80valid
38.0ms252×body80nan

simplify2.9s

Counts
1 → 1
Iterations
IterNodes
done5001
41302
3350
2100
150
028

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.0b

localize277.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.6b
(/ (* z (sqrt (+ t a))) t)

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv associate-/r* sqrt-div div-exp insert-posit16 associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg associate-*l/ associate--l+ div-inv unswap-sqr associate-/l/
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 105
Calls
4 calls:
82.0ms
(* z (sqrt (+ t a)))
31.0ms
(/ 2.0 (* t 3.0))
116.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
66.0ms
(/ (* z (sqrt (+ t a))) t)

series659.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* z (sqrt (+ t a)))
33.0ms
(/ 2.0 (* t 3.0))
343.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
159.0ms
(/ (* z (sqrt (+ t a))) t)

simplify6.5s

Counts
117 → 117
Iterations
IterNodes
done5001
24304
11046
0350

prune2.9s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize319.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (+ t a)) z)
1.2b
(log (exp (- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))))
2.3b
(- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))
6.6b
(/ (* (sqrt (+ t a)) z) t)

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cbrt-cube add-exp-log add-cube-cbrt
8×frac-sub
7×pow1 associate-*l*
6×associate-*l/ add-log-exp
5×log-prod flip3-+ sqrt-prod flip-+
4×frac-times sub-neg flip3-- sqrt-div log-pow insert-posit16 flip-- associate--r+
3×exp-prod associate-/r* times-frac associate-*r*
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp exp-sum prod-exp associate-*r/ cbrt-unprod unswap-sqr associate-/l/
1×log-div clear-num frac-2neg exp-diff diff-log rem-log-exp pow-prod-down *-commutative div-inv distribute-lft-out associate-/l*
Counts
4 → 94
Calls
4 calls:
67.0ms
(* (sqrt (+ t a)) z)
186.0ms
(log (exp (- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))))
91.0ms
(- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))
40.0ms
(/ (* (sqrt (+ t a)) z) t)

series1.1s

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (sqrt (+ t a)) z)
475.0ms
(log (exp (- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))))
439.0ms
(- (/ (* (sqrt (+ t a)) z) t) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) (- b c)))
147.0ms
(/ (* (sqrt (+ t a)) z) t)

simplify5.5s

Counts
106 → 106
Iterations
IterNodes
done5000
22794
1751
0271

prune2.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize450.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
2.3b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
6.6b
(/ (* z (sqrt (+ t a))) t)
39.7b
(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

rewrite608.0ms

Algorithm
rewrite-expression-head
Rules
92×frac-sub
67×frac-times
55×associate-*r/
49×cbrt-div
23×flip3-+ associate-*l/ flip-+
21×flip3-- flip--
13×add-sqr-sqrt
11×*-un-lft-identity add-cbrt-cube add-exp-log
9×add-cube-cbrt
7×associate-*r*
6×pow1 associate--r+ add-log-exp
5×sqrt-prod
4×sqrt-div insert-posit16
3×distribute-rgt-in associate-/r* sub-neg distribute-lft-in times-frac associate-*l*
2×cbrt-undiv div-exp prod-exp associate--l+ cbrt-unprod unswap-sqr associate-/l/
1×cbrt-prod clear-num frac-2neg pow1/3 diff-log cube-unmult pow-prod-down *-commutative rem-cbrt-cube div-inv distribute-lft-out associate-/l*
Counts
4 → 137
Calls
4 calls:
84.0ms
(* z (sqrt (+ t a)))
242.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
65.0ms
(/ (* z (sqrt (+ t a))) t)
181.0ms
(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

series950.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* z (sqrt (+ t a)))
631.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)))))))
131.0ms
(/ (* z (sqrt (+ t a))) t)
56.0ms
(cbrt (* (/ (/ 2.0 t) 3.0) (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0))))

simplify4.0s

Counts
149 → 149
Iterations
IterNodes
done5000
11452
0525

prune3.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize377.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ t (sqrt (+ t a)))
1.4b
(/ z (/ t (sqrt (+ t a))))
2.3b
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
48.4b
(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))

rewrite552.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
136×*-un-lft-identity
104×add-sqr-sqrt add-cube-cbrt
64×sqrt-prod
34×associate-/r*
16×distribute-lft-out
14×frac-sub
11×add-cbrt-cube add-exp-log associate-/r/
10×sqrt-div
9×flip3-- flip--
8×frac-times flip3-+ flip-+
6×frac-add div-inv associate-/l* add-log-exp
4×pow1 cbrt-undiv div-exp associate-*r/ insert-posit16
2×clear-num frac-2neg associate-*l/ associate--r+
1×distribute-rgt-in sub-neg distribute-lft-in diff-log remove-posit16
Counts
4 → 211
Calls
4 calls:
52.0ms
(/ t (sqrt (+ t a)))
76.0ms
(/ z (/ t (sqrt (+ t a))))
372.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
3.0ms
(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
121.0ms
(/ t (sqrt (+ t a)))
149.0ms
(/ z (/ t (sqrt (+ t a))))
388.0ms
(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))
411.0ms
(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (+ (/ 5.0 6.0) (- a (/ 2.0 (* 3.0 t))))))))

simplify3.9s

Counts
223 → 223
Iterations
IterNodes
done5001
11441
0466

prune6.0s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes2.7s

Accuracy

-24.6% (3.9b remaining)

Error of 4.7b against oracle of 0.8b and baseline of 4.0b

bsearch697.0ms

Steps
ItersRangePoint
8
-3.6744494214706955e-289
-1.0741912180357224e-291
-1.4237820514682587e-289
9
-2.688759667858983e-191
-5.338552762974643e-197
-5.622640931064597e-197

simplify46.0ms

Iterations
IterNodes
done67
167
051

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.0s7932×body80nan
2.0s8000×body80valid