Details

Time bar (total: 11.8s)

sample183.0ms

Algorithm
intervals
Results
75.0ms63×body2560valid
49.0ms70×body1280valid
13.0ms29×body640valid
8.0ms25×body320valid
6.0ms60×body80valid
3.0ms1×body5120valid
2.0ms8×body160valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

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: 46.2b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
3.4b
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
34.4b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
34.6b
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 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)))
8.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
3.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
3.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
11.0ms
(* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0)))
13.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
13.0ms
(cos (* t (* (+ 1.0 (* 2.0 a)) (/ b 16.0))))

simplify23.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
05569934

prune303.0ms

Filtered
56 candidates to 76 candidates (-35.7%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New552176
Fresh011
Picked101
Done000
Total562278

Merged error: 41.3b

Counts
78 → 22

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))
2.4b
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
34.4b
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

rewrite32.0ms

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:
9.0ms
(* z (/ t 16.0))
6.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
4.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* z (/ t 16.0))
22.0ms
(* x (* (cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) 1))
10.0ms
(* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))
12.0ms
(cos (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))

simplify35.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
052691022

prune360.0ms

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

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New752095
Fresh61521
Picked101
Done000
Total8235117

Merged error: 39.7b

Counts
117 → 35

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune195.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New000
Fresh03434
Picked011
Done000
Total03535

Merged error: 39.7b

Counts
35 → 35

localize20.0ms

Local error

Found 4 expressions with local error:

17.5b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
17.5b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
17.5b
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
34.2b
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-div
12×associate-*r/
6×frac-times flip3-+ associate-*l/ flip-+
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
Counts
4 → 49
Calls
4 calls:
8.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
8.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
8.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
26.0ms
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

series150.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
45.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
43.0ms
(cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))
18.0ms
(cos (* (* (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0)))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))) (cbrt (* (+ (* y 2.0) 1.0) (* z (/ t 16.0))))))

simplify47.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050521166

prune203.0ms

Filtered
56 candidates to 61 candidates (-8.9%)
Pruning

42 alts after pruning (40 fresh and 2 done)

PrunedKeptTotal
New501161
Fresh42933
Picked011
Done011
Total544296

Merged error: 39.4b

Counts
96 → 42

regimes4.3s

Accuracy

0% (4.8b remaining)

Error of 44.6b against oracle of 39.8b and baseline of 44.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.7s

Algorithm
intervals
Results
2.3s1844×body2560valid
1.7s2279×body1280valid
545.0ms1197×body640valid
195.0ms1850×body80valid
181.0ms542×body320valid
125.0ms47×body5120valid
53.0ms241×body160valid

Profiling

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