Details

Time bar (total: 20.9s)

sample102.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
28.0ms257×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5003
41440
3365
2102
150
028

prune32.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.5b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
0.2b
(/ (/ 2.0 t) 3.0)
1.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
5.0b
(/ (sqrt (+ a t)) (/ t z))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
548×times-frac
469×add-sqr-sqrt
406×*-un-lft-identity
347×add-cube-cbrt
220×prod-diff
131×associate--r+
56×sqrt-prod
41×difference-of-squares
34×div-inv
20×associate-/l*
16×associate-/r* distribute-lft-out--
14×add-cbrt-cube add-exp-log distribute-lft-out
13×fma-neg
9×add-log-exp
6×cbrt-undiv div-exp
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×diff-log associate-/l/
2×clear-num sub-neg frac-2neg flip3-- sqrt-div frac-sub flip--
1×flip3-+ associate-/r/ flip-+ fma-udef associate--r-
Counts
4 → 473
Calls
4 calls:
167.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
21.0ms
(/ (/ 2.0 t) 3.0)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
34.0ms
(/ (sqrt (+ a t)) (/ t z))

series322.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))
27.0ms
(/ (/ 2.0 t) 3.0)
191.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (/ (sqrt (+ a t)) (/ t z)))
76.0ms
(/ (sqrt (+ a t)) (/ t z))

simplify2.6s

Counts
485 → 485
Iterations
IterNodes
done5000
24831
12125
0874

prune4.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize66.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 2.0 t) 3.0)
0.3b
(/ (sqrt (+ a t)) t)
0.4b
(* (/ (sqrt (+ a t)) t) z)
1.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

rewrite94.0ms

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-*l*
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-*r* unswap-sqr associate-/l/
2×clear-num frac-2neg sqrt-div prod-exp cbrt-unprod
1×flip3-+ pow-prod-down associate-*l/ *-commutative flip-+ fma-udef
Counts
4 → 180
Calls
4 calls:
13.0ms
(/ (/ 2.0 t) 3.0)
22.0ms
(/ (sqrt (+ a t)) t)
53.0ms
(* (/ (sqrt (+ a t)) t) z)
1.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

series401.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ 2.0 t) 3.0)
87.0ms
(/ (sqrt (+ a t)) t)
94.0ms
(* (/ (sqrt (+ a t)) t) z)
198.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (/ (sqrt (+ a t)) t) z))

simplify1.5s

Counts
192 → 192
Iterations
IterNodes
done5001
22226
1823
0353

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize96.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt (+ a t)) t)
0.4b
(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
1.6b
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
57.9b
(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
24×add-sqr-sqrt
22×add-cube-cbrt
21×times-frac
16×sqrt-prod
8×add-cbrt-cube add-exp-log
7×associate-/l*
6×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out add-log-exp
3×associate-/r* associate-*r* associate-*l*
2×sqrt-div associate-/l/
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ fma-udef div-inv remove-posit16 unswap-sqr
Counts
4 → 91
Calls
4 calls:
23.0ms
(/ (sqrt (+ a t)) t)
10.0ms
(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
0.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
0.0ms
(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

series477.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (sqrt (+ a t)) t)
86.0ms
(* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z)
213.0ms
(fma (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)) (* (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z))
88.0ms
(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))

simplify2.3s

Counts
103 → 103
Iterations
IterNodes
done5000
33777
21164
1455
0211

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes444.0ms

Accuracy

0% (1.8b remaining)

Error of 2.4b against oracle of 0.6b and baseline of 2.4b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done29
129
026

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.5s7909×body80nan
1.4s8000×body80valid