Details

Time bar (total: 28.8s)

sample366.0ms

Algorithm
intervals
Results
149.0ms63×body2560valid
116.0ms69×body1280valid
39.0ms39×body640valid
13.0ms60×body80valid
11.0ms16×body320valid
8.0ms2×body5120valid
3.0ms7×body160valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done1544
101544
91508
81339
71237
61052
5772
4486
3232
2101
144
023

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.6b

localize62.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
2.9b
(* (* (fma 2.0 y 1.0) z) t)
33.7b
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
35.6b
(cos (/ (* (* (fma 2.0 y 1.0) z) t) 16.0))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube add-exp-log
14×pow1
8×prod-exp cbrt-unprod
6×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down add-cube-cbrt
4×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u add-log-exp
2×distribute-rgt-in cos-sum distribute-lft-in associate-*l* associate-*l/ *-commutative
1×cbrt-undiv div-exp
Counts
4 → 69
Calls
4 calls:
29.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
24.0ms
(* (* (fma 2.0 y 1.0) z) t)
32.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
5.0ms
(cos (/ (* (* (fma 2.0 y 1.0) z) t) 16.0))

series213.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
46.0ms
(* (* (fma 2.0 y 1.0) z) t)
31.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
58.0ms
(cos (/ (* (* (fma 2.0 y 1.0) z) t) 16.0))

simplify1.1s

Counts
81 → 81
Iterations
IterNodes
done5000
21436
1370
0158

prune788.0ms

Pruning

27 alts after pruning (27 fresh and 0 done)

Merged error: 40.5b

localize24.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
2.1b
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
33.7b
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log
17×add-cbrt-cube
13×pow1
10×prod-exp
8×cbrt-unprod
6×associate-*r* pow-prod-down
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×fma-udef
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×distribute-rgt-in cos-sum distribute-lft-in associate-*l* associate-*l/ *-commutative
1×cbrt-undiv 1-exp div-exp
Counts
3 → 60
Calls
3 calls:
41.0ms
(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
36.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
24.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
69.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
35.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify1.2s

Counts
69 → 69
Iterations
IterNodes
done5001
21125
1328
0141

prune640.0ms

Pruning

39 alts after pruning (39 fresh and 0 done)

Merged error: 39.1b

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune305.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 39.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
0.5b
(* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0)))
1.7b
(* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))))
33.9b
(cos (* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0))))

rewrite277.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
41×pow1
35×add-cbrt-cube
34×prod-exp cbrt-unprod
23×pow-prod-down
22×add-sqr-sqrt
19×cbrt-prod
14×*-un-lft-identity add-cube-cbrt
13×associate-*r*
8×associate-*l*
6×pow1/3 swap-sqr
5×associate-*l/
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 121
Calls
4 calls:
11.0ms
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
145.0ms
(* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0)))
36.0ms
(* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))))
83.0ms
(cos (* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0))))

series502.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
89.0ms
(* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0)))
225.0ms
(* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))))
36.0ms
(cos (* (* (* (/ b 16.0) t) (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))) (cbrt (fma a 2.0 1.0))))

simplify1.7s

Counts
133 → 133
Iterations
IterNodes
done5000
22194
1613
0236

prune606.0ms

Pruning

53 alts after pruning (52 fresh and 1 done)

Merged error: 38.7b

regimes3.4s

Accuracy

0% (5.2b remaining)

Error of 44.5b against oracle of 39.3b and baseline of 44.5b

bsearch0.0ms

simplify0.0ms

Iterations
IterNodes
done1
01

end0.0ms

sample14.0s

Algorithm
intervals
Results
5.5s2295×body1280valid
5.2s1828×body2560valid
1.5s1184×body640valid
599.0ms541×body320valid
552.0ms1846×body80valid
151.0ms277×body160valid
127.0ms29×body5120valid