Details

Time bar (total: 23.1s)

sample156.0ms

Algorithm
intervals
Results
52.0ms275×body80nan
45.0ms256×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
55939
41474
3365
2102
150
028

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.2b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (sqrt (+ a t)) t)
0.5b
(/ (/ 2.0 t) 3.0)
1.3b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
1.6b
(* z (/ (sqrt (+ a t)) t))

rewrite47.0ms

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
div-inv distribute-lft-out
pow1 associate-/r*
cbrt-undiv div-exp
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
associate-*l* unswap-sqr associate-/l/
clear-num frac-2neg sqrt-div prod-exp cbrt-unprod
flip3-+ pow-prod-down associate-*r/ *-commutative flip-+ fma-udef
Counts
4 → 180
Calls
4 calls:
11.0ms
(/ (sqrt (+ a t)) t)
14.0ms
(/ (/ 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)))
19.0ms
(* z (/ (sqrt (+ a t)) t))

series474.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(/ (sqrt (+ a t)) t)
34.0ms
(/ (/ 2.0 t) 3.0)
239.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* z (/ (sqrt (+ a t)) t)))
117.0ms
(* z (/ (sqrt (+ a t)) t))

simplify814.0ms

Counts
192 → 192
Iterations
IterNodes
22130
1824
0355

prune3.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.3b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
2.0b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

rewrite57.0ms

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
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*l*
pow1 distribute-lft-out
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
pow1/3 div-inv
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) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
49.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

series1.0s

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt t)
294.0ms
(cbrt t)
297.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t))))
172.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ a t)) (cbrt t)))

simplify931.0ms

Counts
141 → 141
Iterations
IterNodes
22528
1727
0249

prune2.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666))
0.0b
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))))
0.2b
(* (/ c t) 0.6666666666666666)
0.5b
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
add-cbrt-cube add-exp-log
add-log-exp
pow1
expm1-log1p-u insert-posit16 log1p-expm1-u
associate-*r* fma-udef
exp-sum prod-exp cbrt-unprod unswap-sqr
distribute-rgt-in cbrt-undiv exp-prod sub-neg distribute-lft-in flip3-- exp-to-pow fma-neg diff-log div-exp prod-diff pow-prod-down associate-*l/ *-commutative div-inv flip-- rem-exp-log
Counts
4 → 78
Calls
4 calls:
17.0ms
(- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666))
7.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))))
10.0ms
(* (/ c t) 0.6666666666666666)
0.0ms
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))

series292.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666))
111.0ms
(exp (* 2.0 (fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))))
36.0ms
(* (/ c t) 0.6666666666666666)
62.0ms
(fma (/ b t) 0.6666666666666666 (- (* 0.8333333333333334 c) (* (/ c t) 0.6666666666666666)))

simplify2.6s

Counts
90 → 90
Iterations
IterNodes
34487
21190
1402
0172

prune1.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (1.1b remaining)

Error of 1.4b against oracle of 0.4b and baseline of 1.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
232
132
029

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.5s8000×body80valid
2.4s8177×body80nan