Details

Time bar (total: 24.4s)

sample381.0ms

Algorithm
intervals
Results
121.0ms74×body1280valid
121.0ms63×body2560valid
29.0ms12×body320valid
28.0ms34×body640valid
10.0ms64×body80valid
4.0ms1×body5120valid
4.0ms8×body160valid

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done1777
101777
91741
81551
71453
61243
5902
4507
3233
2101
144
023

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.1b

localize43.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
2.4b
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
34.5b
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
34.7b
(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
14×pow1
10×prod-exp cbrt-unprod
8×fma-udef
6×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down add-cube-cbrt
4×distribute-rgt-in expm1-log1p-u cos-sum distribute-lft-in associate-*l/ log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
24.0ms
(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
38.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
13.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
14.0ms
(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

series266.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (* (/ z 16.0) t) (fma 2.0 y 1.0))
91.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
38.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))
44.0ms
(cos (* (* (/ z 16.0) t) (fma 2.0 y 1.0)))

simplify1.5s

Counts
84 → 84
Iterations
IterNodes
done5000
22512
1436
0182

prune1.0s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 40.4b

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))))
2.4b
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
34.5b
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

rewrite97.0ms

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 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 → 57
Calls
3 calls:
52.0ms
(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
23.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
19.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

series300.0ms

Counts
3 → 9
Calls
3 calls:
145.0ms
(* (* 1 x) (cos (* (* (/ b 16.0) t) (fma a 2.0 1.0))))
108.0ms
(* (* (/ b 16.0) t) (fma a 2.0 1.0))
46.0ms
(cos (* (* (/ b 16.0) t) (fma a 2.0 1.0)))

simplify864.0ms

Counts
66 → 66
Iterations
IterNodes
done5000
21903
1338
0138

prune697.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.0b

localize2.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune367.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
0.7b
(* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0)))
1.8b
(* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0))
34.1b
(cos (* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0))))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
56×add-exp-log
35×add-cbrt-cube
30×prod-exp cbrt-unprod
25×add-sqr-sqrt pow1
19×cbrt-prod associate-*r*
16×*-un-lft-identity add-cube-cbrt
11×pow-prod-down
8×cbrt-undiv div-exp associate-*l*
6×pow1/3 swap-sqr
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac *-commutative
2×associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus associate-*l/ div-inv
Counts
4 → 120
Calls
4 calls:
18.0ms
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
132.0ms
(* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0)))
61.0ms
(* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0))
47.0ms
(cos (* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0))))

series636.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0)))
74.0ms
(* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0)))
334.0ms
(* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0))
62.0ms
(cos (* (* (* (cbrt (fma a 2.0 1.0)) (cbrt (fma a 2.0 1.0))) (/ (* b t) 16.0)) (cbrt (fma a 2.0 1.0))))

simplify2.0s

Counts
132 → 132
Iterations
IterNodes
done5001
24064
1671
0242

prune735.0ms

Pruning

47 alts after pruning (45 fresh and 2 done)

Merged error: 38.6b

regimes2.6s

Accuracy

0% (5.0b remaining)

Error of 44.3b against oracle of 39.3b and baseline of 44.3b

bsearch0.0ms

simplify0.0ms

Iterations
IterNodes
done1
01

end0.0ms

sample9.2s

Algorithm
intervals
Results
3.5s1809×body2560valid
2.6s2269×body1280valid
1.1s1173×body640valid
621.0ms553×body320valid
407.0ms1884×body80valid
131.0ms44×body5120valid
101.0ms268×body160valid