Details

Time bar (total: 13.8s)

sample173.0ms

Algorithm
intervals
Results
68.0ms256×body80nan
61.0ms256×body80valid

simplify655.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
41440
3365
2102
150
028

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ a t)))
0.3b
(/ 2.0 (* t 3.0))
1.1b
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
4.8b
(/ (* z (sqrt (+ a t))) t)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
7×associate-*r*
6×pow1 times-frac
5×sqrt-prod
4×expm1-log1p-u cbrt-undiv associate-/r* sqrt-div div-exp associate-*r/ insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×associate-*l* prod-exp cbrt-unprod
2×clear-num frac-2neg flip3-+ flip-+ div-inv unswap-sqr associate-/l/
1×pow-prod-down *-commutative fma-udef distribute-lft-out
Counts
4 → 89
Calls
4 calls:
31.0ms
(* z (sqrt (+ a t)))
9.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
18.0ms
(/ (* z (sqrt (+ a t))) t)

series398.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* z (sqrt (+ a t)))
30.0ms
(/ 2.0 (* t 3.0))
184.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (* z (sqrt (+ a t))) t))
90.0ms
(/ (* z (sqrt (+ a t))) t)

simplify723.0ms

Counts
101 → 101
Iterations
IterNodes
done2007
21689
1565
0233

prune716.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
1.6b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
58×times-frac
47×*-un-lft-identity
46×associate-*r*
35×add-cube-cbrt
31×cbrt-prod
28×sqrt-prod
25×add-exp-log
18×add-cbrt-cube
10×unswap-sqr
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3 div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative fma-udef
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
0.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
36.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series870.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt t)
259.0ms
(cbrt t)
254.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
117.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify587.0ms

Counts
141 → 141
Iterations
IterNodes
done2000
1731
0249

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 2.0 (* t 3.0))
1.1b
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
4.8b
(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
55.9b
(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
6×associate-/l*
4×expm1-log1p-u pow1 associate-/r* insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×clear-num frac-2neg div-inv
1×prod-exp cbrt-unprod fma-udef remove-posit16
Counts
4 → 76
Calls
4 calls:
10.0ms
(/ 2.0 (* t 3.0))
0.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
4.0ms
(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
0.0ms
(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

series472.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ 2.0 (* t 3.0))
240.0ms
(fma (- c b) (- (+ (/ 5.0 6.0) a) (/ 2.0 (* t 3.0))) (/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t))
113.0ms
(/ (posit16->real (real->posit16 (* z (sqrt (+ a t))))) t)
94.0ms
(posit16->real (real->posit16 (* z (sqrt (+ a t)))))

simplify510.0ms

Counts
88 → 88
Iterations
IterNodes
done2019
21284
1454
0200

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes492.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.2b and baseline of 1.4b

bsearch0.0ms

simplify12.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample5.0s

Algorithm
intervals
Results
2.2s8192×body80nan
2.0s8000×body80valid