Details

Time bar (total: 11.1s)

sample187.0ms

Algorithm
intervals
Results
69.0ms61×body2560valid
54.0ms74×body1280valid
19.0ms40×body640valid
6.0ms57×body80valid
5.0ms15×body320valid
5.0ms2×body5120valid
2.0ms7×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
077127
177127

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 47.0b

Counts
2 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

2.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
2.5b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
35.7b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
37.3b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite32.0ms

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
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
11.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
5.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
11.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
11.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))
14.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify24.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
05479934

prune302.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New562076
Fresh011
Picked101
Done000
Total572178

Merged error: 42.7b

Counts
78 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (/ t 16.0))
0.1b
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
2.5b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
37.3b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite37.0ms

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×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:
8.0ms
(* z (/ t 16.0))
7.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
14.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (/ t 16.0))
25.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
11.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify30.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (23.0ms)

IterNodesCost
051451022

prune362.0ms

Filtered
66 candidates to 95 candidates (-43.9%)
Pruning

34 alts after pruning (34 fresh and 0 done)

PrunedKeptTotal
New732295
Fresh81220
Picked101
Done000
Total8234116

Merged error: 40.7b

Counts
116 → 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

prune188.0ms

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03333
Picked011
Done000
Total03434

Merged error: 40.7b

Counts
34 → 34

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(cbrt z)
2.5b
(* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z))))
36.9b
(cos (* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×add-exp-log
23×add-cbrt-cube
22×pow1
20×prod-exp cbrt-unprod
13×pow-prod-down
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×associate-*l/
4×associate-*r/ add-log-exp
3×associate-*l*
2×cbrt-undiv frac-times flip3-+ pow1/3 div-exp flip-+
1×associate-*r* *-commutative
Counts
4 → 65
Calls
4 calls:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
22.0ms
(* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z))))
7.0ms
(cos (* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z)))))

series85.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt z)
25.0ms
(cbrt z)
16.0ms
(* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z))))
16.0ms
(cos (* (+ (* y 2.0) 1.0) (* (* (cbrt z) (cbrt z)) (* (/ t 16.0) (cbrt z)))))

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04993720
14993720

prune97.0ms

Filtered
45 candidates to 77 candidates (-71.1%)
Pruning

40 alts after pruning (39 fresh and 1 done)

PrunedKeptTotal
New68977
Fresh23032
Picked101
Done011
Total7140111

Merged error: 40.6b

Counts
111 → 40

regimes3.9s

Accuracy

0% (4.7b remaining)

Error of 45.1b against oracle of 40.4b and baseline of 45.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.2s1902×body2560valid
1.6s2312×body1280valid
574.0ms1167×body640valid
206.0ms1797×body80valid
188.0ms520×body320valid
114.0ms50×body5120valid
60.0ms252×body160valid

Profiling

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