Details

Time bar (total: 44.5s)

sample242.0ms

Algorithm
intervals
Results
109.0ms256×body80valid
74.0ms263×body80nan

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
55941
41474
3365
2102
150
028

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize44.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ a t)) t)
0.2b
(/ (/ 2.0 t) 3.0)
0.8b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
1.8b
(* z (/ (sqrt (+ a t)) t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
91×*-un-lft-identity
85×add-sqr-sqrt
77×add-cube-cbrt
29×sqrt-prod
25×associate-*r*
20×associate-/l*
16×add-cbrt-cube add-exp-log
7×div-inv distribute-lft-out
6×pow1 associate-/r*
5×cbrt-undiv div-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* unswap-sqr associate-/l/
2×clear-num frac-2neg sqrt-div prod-exp cbrt-unprod
1×flip3-+ pow-prod-down associate-*r/ *-commutative flip-+ fma-udef
Counts
4 → 180
Calls
4 calls:
11.0ms
(/ (sqrt (+ a t)) t)
13.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
28.0ms
(* z (/ (sqrt (+ a t)) t))

series448.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(/ (sqrt (+ a t)) t)
33.0ms
(/ (/ 2.0 t) 3.0)
214.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
106.0ms
(* z (/ (sqrt (+ a t)) t))

simplify872.0ms

Counts
192 → 192
Iterations
IterNodes
22135
1826
0355

prune4.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 t) 3.0)
0.8b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
0.9b
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))))
1.8b
(* z (/ (sqrt (+ a t)) t))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
71×add-sqr-sqrt
69×*-un-lft-identity
63×add-cube-cbrt
25×associate-*r*
14×add-cbrt-cube add-exp-log
13×sqrt-prod associate-/l*
7×pow1
6×div-inv
4×expm1-log1p-u cbrt-undiv log-prod div-exp log-pow insert-posit16 log1p-expm1-u add-log-exp
3×exp-prod associate-/r* associate-*l* distribute-lft-out unswap-sqr
2×prod-exp cbrt-unprod fma-udef
1×clear-num frac-2neg rem-log-exp exp-sum pow-prod-down associate-*r/ *-commutative associate-/l/
Counts
4 → 151
Calls
4 calls:
17.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
5.0ms
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))))
30.0ms
(* z (/ (sqrt (+ a t)) t))

series545.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (/ 2.0 t) 3.0)
209.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
209.0ms
(log (exp (fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))))
107.0ms
(* z (/ (sqrt (+ a t)) t))

simplify2.0s

Counts
163 → 163
Iterations
IterNodes
35418
21820
1740
0329

prune4.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 t) 3.0)
0.8b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t)))))
1.8b
(* z (/ (sqrt (+ a t)) t))
52.7b
(posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
98×times-frac
69×add-sqr-sqrt
67×*-un-lft-identity
61×add-cube-cbrt
25×associate-*r*
14×add-cbrt-cube add-exp-log
13×sqrt-prod associate-/l*
6×pow1 div-inv
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l* distribute-lft-out unswap-sqr
2×prod-exp cbrt-unprod
1×clear-num frac-2neg pow-prod-down associate-*r/ *-commutative fma-udef remove-posit16 associate-/l/
Counts
4 → 143
Calls
4 calls:
13.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t)))))
18.0ms
(* z (/ (sqrt (+ a t)) t))
0.0ms
(posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (/ 2.0 t) 3.0)
270.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t)))))
106.0ms
(* z (/ (sqrt (+ a t)) t))
119.0ms
(posit16->real (real->posit16 (* z (/ (sqrt (+ a t)) t))))

simplify2.5s

Counts
155 → 155
Iterations
IterNodes
35655
21823
1716
0313

prune5.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
0.2b
(* 0.6666666666666666 (- (/ b t) (/ c t)))
0.8b
(- (/ b t) (/ c t))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
731×times-frac
588×add-sqr-sqrt
578×*-un-lft-identity
562×add-cube-cbrt
507×prod-diff
171×distribute-rgt-in distribute-lft-in
83×div-inv
13×fma-neg
12×associate-*r*
8×distribute-lft-out-- difference-of-squares
5×pow1 add-cbrt-cube add-exp-log add-log-exp
4×associate-*r/
3×expm1-log1p-u sub-neg associate-*l* insert-posit16 log1p-expm1-u
2×flip3-- distribute-rgt-out-- frac-sub flip-- sub-div
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 595
Calls
3 calls:
0.0ms
(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
63.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
14.0ms
(- (/ b t) (/ c t))

series137.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(fma c 0.8333333333333334 (* 0.6666666666666666 (- (/ b t) (/ c t))))
57.0ms
(* 0.6666666666666666 (- (/ b t) (/ c t)))
30.0ms
(- (/ b t) (/ c t))

simplify1.9s

Counts
604 → 604
Iterations
IterNodes
22532
11256
0734

prune12.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes583.0ms

Accuracy

0% (2.0b remaining)

Error of 2.3b against oracle of 0.3b and baseline of 2.3b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
231
131
028

end0.0ms

sample5.5s

Algorithm
intervals
Results
2.3s8000×body80valid
2.2s8074×body80nan