Details

Time bar (total: 9.4s)

analyze6.0ms (0.1%)

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

sample242.0ms (2.6%)

Algorithm
1×intervals
Results
104.0ms58×body2560valid
73.0ms78×body1280valid
23.0ms34×body640valid
9.0ms59×body80valid
7.0ms14×body320valid
4.0ms12×body160valid
3.0ms1×body5120valid

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
077127
177127

prune21.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 46.0b

Counts
2 → 2

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
2.5b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
34.2b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
37.0b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite29.0ms (0.3%)

Algorithm
1×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:

9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
5.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
5.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series43.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

12.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
12.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
10.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))

simplify23.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05569934

prune336.0ms (3.6%)

Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New542276
Fresh011
Picked101
Done000
Total552378

Merged error: 41.4b

Counts
78 → 23

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(* z (/ t 16.0))
0.2b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
1.4b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
37.0b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite27.0ms (0.3%)

Algorithm
1×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×pow-prod-down
5×associate-*r/
4×add-log-exp
3×*-commutative
2×cbrt-undiv frac-times flip3-+ div-exp associate-*l/ flip-+ unswap-sqr
1×1-exp div-inv
Counts
4 → 83
Calls

4 calls:

9.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
6.0ms
(* z (/ t 16.0))
6.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series47.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

21.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.0ms
(* z (/ t 16.0))

simplify35.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
052691022

prune381.0ms (4.1%)

Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New761995
Fresh81422
Picked101
Done000
Total8533118

Merged error: 39.7b

Counts
118 → 33

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune182.0ms (1.9%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03232
Picked011
Done000
Total03333

Merged error: 39.7b

Counts
33 → 33

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b
(cbrt 16.0)
1.0b
(cbrt 16.0)
1.4b
(* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0))))
37.1b
(cos (* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0)))))

rewrite24.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
33×add-exp-log
26×add-cbrt-cube
15×prod-exp cbrt-unprod
9×pow1 frac-times
7×cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp
6×cbrt-prod associate-*r/
5×associate-*l/
4×flip3-+ flip-+ add-log-exp
3×associate-*l* pow-prod-down
2×pow1/3
1×associate-*r* *-commutative
Counts
4 → 68
Calls

4 calls:

15.0ms
(* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0))))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0)))))
1.0ms
(cbrt 16.0)
1.0ms
(cbrt 16.0)

series34.0ms (0.4%)

Counts
4 → 8
Calls

4 calls:

18.0ms
(* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0))))
17.0ms
(cos (* (+ (* y 2.0) 1.0) (* (/ z (* (cbrt 16.0) (cbrt 16.0))) (/ t (cbrt 16.0)))))
0.0ms
(cbrt 16.0)
0.0ms
(cbrt 16.0)

simplify62.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04958851
14958851

prune171.0ms (1.8%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New71576
Fresh13031
Picked101
Done011
Total7336109

Merged error: 39.6b

Counts
109 → 36

regimes2.2s (23.1%)

Accuracy

Total 4.6b remaining (10.4%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011
111

end0.0ms (0%)

sample5.5s (58.5%)

Algorithm
1×intervals
Results
2.3s1812×body2560valid
1.7s2247×body1280valid
603.0ms1219×body640valid
214.0ms1886×body80valid
195.0ms552×body320valid
127.0ms45×body5120valid
58.0ms239×body160valid

Profiling

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