Details

Time bar (total: 15.9s)

sample159.0ms

Algorithm
intervals
Results
65.0ms60×body2560valid
49.0ms79×body1280valid
12.0ms30×body640valid
5.0ms67×body80valid
3.0ms11×body320valid
3.0ms1×body5120valid
1.0ms8×body160valid

simplify1.8s

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02327
14425
210025
321225
439425
563025
689825
7115925
8126925
9134325
10137125
done137125

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 45.3b

localize24.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* (+ (* y 2.0) 1.0) z) t)
3.9b
(* (* (+ (* a 2.0) 1.0) b) t)
33.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.1b
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
8×associate-*l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×flip3-+ associate-*l* *-commutative flip-+
Counts
4 → 62
Calls
4 calls:
15.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
15.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
1.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series157.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
46.0ms
(* (* (+ (* a 2.0) 1.0) b) t)
33.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
38.0ms
(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify633.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (132.0ms)

IterNodesCost
0146980
1395886
21634738
done5001738

prune418.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 40.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ (* y 2.0) 1.0) z)
0.2b
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
1.9b
(* (* (+ (* y 2.0) 1.0) z) t)
33.9b
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*r*
7×associate-*l*
6×associate-*l/
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×flip3-+ flip-+ unswap-sqr
Counts
4 → 73
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) z)
3.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
16.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

series180.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (+ (* y 2.0) 1.0) z)
68.0ms
(* x (cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0)))
39.0ms
(* (* (+ (* y 2.0) 1.0) z) t)
37.0ms
(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))

simplify3.1s

Counts
85 → 85
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
01261149
13051040
21228880
34938880
done5000880

prune612.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 38.5b

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune123.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 38.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t))
0.9b
(* (* z (fma 2.0 y 1.0)) (cbrt t))
0.9b
(* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t))
33.8b
(cos (/ (* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t)) 16.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1 add-exp-log
19×pow-prod-down prod-exp cbrt-unprod
18×associate-*r*
16×add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* *-commutative
Counts
4 → 87
Calls
4 calls:
25.0ms
(* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t))
7.0ms
(* (* z (fma 2.0 y 1.0)) (cbrt t))
83.0ms
(* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t))
2.0ms
(cos (/ (* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t)) 16.0))

series437.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t))
138.0ms
(* (* z (fma 2.0 y 1.0)) (cbrt t))
71.0ms
(* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t))
46.0ms
(cos (/ (* (* (* (* z (fma 2.0 y 1.0)) (cbrt t)) (cbrt t)) (cbrt t)) 16.0))

simplify799.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01541647
14031597
217881227
done50001227

prune352.0ms

Pruning

46 alts after pruning (44 fresh and 2 done)

Merged error: 38.3b

regimes2.5s

Accuracy

0% (4.5b remaining)

Error of 44.2b against oracle of 39.7b and baseline of 44.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045
181
2101
done101

end0.0ms

sample4.4s

Algorithm
intervals
Results
2.0s1857×body2560valid
1.3s2246×body1280valid
419.0ms1139×body640valid
160.0ms1919×body80valid
155.0ms580×body320valid
92.0ms38×body5120valid
38.0ms221×body160valid