Details

Time bar (total: 1.2s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
99.7%0%0.3%1

sample165.0ms

Algorithm
intervals
Results
64.0ms52×body2560valid
58.0ms85×body1280valid
15.0ms35×body640valid
6.0ms19×body320valid
6.0ms57×body80valid
2.0ms8×body160valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 46.2b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
2.6b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
33.9b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
35.3b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
14×pow1
10×associate-*r/ prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
2×cbrt-undiv div-exp associate-*r* *-commutative
Counts
4 → 64
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
9.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series43.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
14.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify21.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
05569934

prune318.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New562076
Fresh101
Picked101
Done000
Total582078

Merged error: 41.5b

Counts
78 → 20

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
0.1b
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
2.6b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
33.9b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
23×add-cbrt-cube
19×add-sqr-sqrt
16×pow1
15×associate-*r*
14×add-cube-cbrt *-un-lft-identity
12×prod-exp
10×times-frac cbrt-unprod
9×associate-*l*
7×associate-*r/ pow-prod-down
4×frac-times flip3-+ associate-*l/ flip-+ add-log-exp
3×*-commutative
2×cbrt-undiv div-exp unswap-sqr
1×1-exp div-inv
Counts
4 → 87
Calls
4 calls:
8.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
6.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
9.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
4.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (+ 1.0 (* 2.0 a)) (/ b 16.0))
22.0ms
(* x (* 1 (cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))))
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
10.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify36.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
052451203

prune440.0ms

Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New792099
Fresh51419
Picked101
Done000
Total8534119

Merged error: 39.6b

Counts
119 → 34

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

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