Details

Time bar (total: 16.8s)

sample169.0ms

Algorithm
intervals
Results
69.0ms59×body2560valid
43.0ms71×body1280valid
17.0ms44×body640valid
5.0ms19×body320valid
5.0ms56×body80valid
1.0ms7×body160valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.1b

localize23.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (fma a 2.0 1.0) b) t)
2.2b
(* t (* (fma y 2.0 1.0) z))
36.3b
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
37.5b
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

rewrite46.0ms

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:
17.0ms
(* (* (fma a 2.0 1.0) b) t)
20.0ms
(* t (* (fma y 2.0 1.0) z))
4.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
4.0ms
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

series178.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* (fma a 2.0 1.0) b) t)
51.0ms
(* t (* (fma y 2.0 1.0) z))
47.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))
33.0ms
(cos (/ (* t (* (fma y 2.0 1.0) z)) 16.0))

simplify2.5s

Counts
70 → 70
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
0118846
1259834
2966694
34795678
done5000678

prune647.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 42.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fma a 2.0 1.0) b)
0.1b
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
1.5b
(* (* (fma a 2.0 1.0) b) t)
36.3b
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

rewrite48.0ms

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)
19.0ms
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
17.0ms
(* (* (fma a 2.0 1.0) b) t)
4.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

series240.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (fma a 2.0 1.0) b)
101.0ms
(* (cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0)) (* x (cos (/ 0 16.0))))
48.0ms
(* (* (fma a 2.0 1.0) b) t)
48.0ms
(cos (/ (* (* (fma a 2.0 1.0) b) t) 16.0))

simplify2.1s

Counts
81 → 81
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01261142
12711049
2872825
33266813
done5001813

prune409.0ms

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 40.7b

localize5.0ms

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

prune129.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 40.7b

localize26.0ms

Local error

Found 4 expressions with local error:

19.4b
(cbrt (* (* (fma a 2.0 1.0) b) t))
19.4b
(cbrt (* (* (fma a 2.0 1.0) b) t))
19.4b
(cbrt (* (* (fma a 2.0 1.0) b) t))
36.2b
(cos (/ (* (* (cbrt (* (* (fma a 2.0 1.0) b) t)) (cbrt (* (* (fma a 2.0 1.0) b) t))) (cbrt (* (* (fma a 2.0 1.0) b) t))) 16.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-prod pow1/3
Counts
4 → 42
Calls
4 calls:
13.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
12.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
12.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
4.0ms
(cos (/ (* (* (cbrt (* (* (fma a 2.0 1.0) b) t)) (cbrt (* (* (fma a 2.0 1.0) b) t))) (cbrt (* (* (fma a 2.0 1.0) b) t))) 16.0))

series559.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
172.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
169.0ms
(cbrt (* (* (fma a 2.0 1.0) b) t))
50.0ms
(cos (/ (* (* (cbrt (* (* (fma a 2.0 1.0) b) t)) (cbrt (* (* (fma a 2.0 1.0) b) t))) (cbrt (* (* (fma a 2.0 1.0) b) t))) 16.0))

simplify989.0ms

Counts
54 → 54
Iterations

Useful iterations: done (987.0ms)

IterNodesCost
01011373
12081337
25381021
31577808
done5001712

prune296.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 40.4b

regimes1.3s

Accuracy

0% (4.4b remaining)

Error of 44.2b against oracle of 39.8b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1911
done911

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.9s1797×body2560valid
1.3s2271×body1280valid
445.0ms1201×body640valid
162.0ms1894×body80valid
149.0ms556×body320valid
96.0ms38×body5120valid
46.0ms243×body160valid