Details

Time bar (total: 24.4s)

sample152.0ms

Algorithm
intervals
Results
48.0ms256×body80valid
45.0ms257×body80nan

simplify1.5s

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize71.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
2.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b
(/ (* z (sqrt (+ t a))) t)

rewrite169.0ms

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:
44.0ms
(* z (sqrt (+ t a)))
15.0ms
(/ 2.0 (* t 3.0))
73.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
30.0ms
(/ (* z (sqrt (+ t a))) t)

series535.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(* z (sqrt (+ t a)))
23.0ms
(/ 2.0 (* t 3.0))
297.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
115.0ms
(/ (* z (sqrt (+ t a))) t)

simplify3.0s

Counts
117 → 117
Iterations
IterNodes
done5033
24401
11044
0350

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ t a)) t)
0.3b
(/ 2.0 (* t 3.0))
0.4b
(* z (/ (sqrt (+ t a)) t))
2.8b
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
51×*-un-lft-identity
47×times-frac
45×add-sqr-sqrt
37×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×frac-sub
19×associate-*r/
16×add-cbrt-cube add-exp-log
10×associate-/l*
9×flip3-- flip--
8×frac-times
7×distribute-lft-out
6×pow1 associate--r+ add-log-exp
4×cbrt-undiv associate-/r* flip3-+ div-exp flip-+ insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod div-inv unswap-sqr
2×clear-num frac-2neg sqrt-div associate-*l/ associate--l+ associate-/l/
1×diff-log pow-prod-down *-commutative
Counts
4 → 147
Calls
4 calls:
16.0ms
(/ (sqrt (+ t a)) t)
11.0ms
(/ 2.0 (* t 3.0))
57.0ms
(* z (/ (sqrt (+ t a)) t))
60.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(/ (sqrt (+ t a)) t)
32.0ms
(/ 2.0 (* t 3.0))
98.0ms
(* z (/ (sqrt (+ t a)) t))
262.0ms
(- (* z (/ (sqrt (+ t a)) t)) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify2.9s

Counts
159 → 159
Iterations
IterNodes
done5001
24663
11100
0381

prune1.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
0.4b
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
2.8b
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
57.9b
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 associate--r+ add-log-exp
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in times-frac associate-*r* associate-*l* associate-/l*
2×cbrt-undiv div-exp prod-exp associate--l+ cbrt-unprod
1×clear-num associate-/r* frac-2neg flip3-- diff-log pow-prod-down *-commutative div-inv remove-posit16 flip-- unswap-sqr
Counts
4 → 69
Calls
4 calls:
12.0ms
(/ 2.0 (* t 3.0))
7.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
10.0ms
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 2.0 (* t 3.0))
100.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
256.0ms
(- (* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
76.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

simplify1.4s

Counts
81 → 81
Iterations
IterNodes
done5001
21475
1472
0192

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.4b
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
2.8b
(- (* z (posit16->real (real->posit16 (/ (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)))))))
38.8b
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
57.9b
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×cbrt-div
6×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt associate--r+ add-log-exp
5×frac-times associate-*l/
4×insert-posit16
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* associate-*r/
2×associate--l+
1×cbrt-prod flip3-- pow1/3 diff-log pow3 pow-prod-down prod-exp *-commutative rem-cbrt-cube cbrt-unprod remove-posit16 flip-- unswap-sqr
Counts
4 → 65
Calls
4 calls:
9.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
18.0ms
(- (* z (posit16->real (real->posit16 (/ (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)))))))
129.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
1.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* z (posit16->real (real->posit16 (/ (sqrt (+ t a)) t))))
411.0ms
(- (* z (posit16->real (real->posit16 (/ (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)))))))
55.0ms
(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))
63.0ms
(posit16->real (real->posit16 (/ (sqrt (+ t a)) t)))

simplify1.7s

Counts
77 → 77
Iterations
IterNodes
done5000
21372
1454
0192

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes899.0ms

Accuracy

17.1% (4.1b remaining)

Error of 4.6b against oracle of 0.5b and baseline of 5.4b

bsearch1.0ms

simplify31.0ms

Iterations
IterNodes
done63
163
047

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s7909×body80nan
1.5s8000×body80valid