Details

Time bar (total: 26.0s)

sample312.0ms

Algorithm
intervals
Results
136.0ms53×body2560valid
80.0ms74×body1280valid
24.0ms35×body640valid
12.0ms23×body320valid
9.0ms59×body80valid
4.0ms12×body160valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
02327
14425
210125
323225
443625
572825
6101225
7119425
8129225
9147525
10151125
done151125

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.7b

localize40.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (fma a 2.0 1.0) b) t)
2.9b
(* t (* (fma y 2.0 1.0) z))
34.1b
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
35.0b
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×*-commutative
Counts
4 → 58
Calls
4 calls:
26.0ms
(* (* (fma a 2.0 1.0) b) t)
28.0ms
(* t (* (fma y 2.0 1.0) z))
7.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
7.0ms
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series218.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* (fma a 2.0 1.0) b) t)
50.0ms
(* t (* (fma y 2.0 1.0) z))
63.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
52.0ms
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify3.2s

Counts
70 → 70
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
0118846
1259834
2966694
34795678
done5000678

prune616.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 41.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma a 2.0 1.0) b)
0.2b
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
2.7b
(* (* (fma a 2.0 1.0) b) t)
34.1b
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×unswap-sqr
Counts
4 → 69
Calls
4 calls:
7.0ms
(* (fma a 2.0 1.0) b)
21.0ms
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
25.0ms
(* (* (fma a 2.0 1.0) b) t)
9.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series230.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (fma a 2.0 1.0) b)
93.0ms
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
47.0ms
(* (* (fma a 2.0 1.0) b) t)
45.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01261142
12711049
2872825
33266813
done5001813

prune600.0ms

Pruning

36 alts after pruning (36 fresh and 0 done)

Merged error: 40.0b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune168.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 40.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3))
0.5b
(pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3)
2.7b
(* (* (fma a 2.0 1.0) b) t)
34.1b
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log add-cbrt-cube
6×unpow-prod-down cube-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cube-mult unpow3 sqr-pow
1×pow-to-exp pow-pow pow1/3 associate-*l* pow-exp *-commutative rem-cbrt-cube rem-cube-cbrt
Counts
4 → 77
Calls
4 calls:
5.0ms
(cbrt (pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3))
6.0ms
(pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3)
31.0ms
(* (* (fma a 2.0 1.0) b) t)
7.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series265.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(cbrt (pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3))
70.0ms
(pow (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) 3)
77.0ms
(* (* (fma a 2.0 1.0) b) t)
71.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify3.7s

Counts
89 → 89
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01111519
12321326
27901146
345101130
done50001130

prune388.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 40.0b

regimes1.5s

Accuracy

0% (4.2b remaining)

Error of 44.3b against oracle of 40.1b and baseline of 44.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

IterNodesCost
088
1113
done111

end0.0ms

sample8.4s

Algorithm
intervals
Results
4.2s1851×body2560valid
2.1s2229×body1280valid
836.0ms1184×body640valid
323.0ms594×body320valid
282.0ms1890×body80valid
64.0ms24×body5120valid
53.0ms228×body160valid