Details

Time bar (total: 11.7s)

sample135.0ms

Algorithm
intervals
Results
23.0ms51×body1280valid
23.0ms334×body80nan
14.0ms198×body80valid
9.0ms12×body2560valid
7.0ms22×body640valid
4.0ms15×body320valid
1.0ms5×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.1b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b
(/ (* z t) 3.0)
0.3b
(/ a (* b 3.0))
21.8b
(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
9×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r* associate-/l* add-log-exp
3×cos-diff associate-*r* pow-prod-down
2×cos-sum frac-2neg clear-num div-inv
1×distribute-rgt-in sub-neg distribute-lft-in associate-*l* *-commutative
Counts
4 → 72
Calls
4 calls:
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series50.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
13.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0419507
11751432
25002432

prune537.0ms

Filtered
84 candidates to 59 candidates (29.8%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New632184
Fresh000
Picked101
Done000
Total642185

Merged error: 14.5b

Counts
85 → 21

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
2.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.6b
(sin (/ (* z t) 3.0))
27.9b
(cos (/ (* z t) 3.0))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
29.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
5.0ms
(sin (/ (* z t) 3.0))
3.0ms
(cos (/ (* z t) 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0329482
11223383
25001383

prune483.0ms

Filtered
70 candidates to 49 candidates (30.0%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh31720
Picked101
Done000
Total662591

Merged error: 14.4b

Counts
91 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
2.0b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
27.9b
(cos (/ (* z t) 3.0))
28.0b
(sin (* 0.3333333333333333 (* t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (* 0.3333333333333333 (* t z)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* b 3.0))
31.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0326482
11226383
25001383

prune465.0ms

Filtered
70 candidates to 47 candidates (32.9%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh12324
Picked101
Done000
Total692695

Merged error: 14.4b

Counts
95 → 26

localize33.0ms

Local error

Found 4 expressions with local error:

27.9b
(cos (/ (* z t) 3.0))
27.9b
(cos (/ (* z t) 3.0))
27.9b
(cos (/ (* z t) 3.0))
28.0b
(sin (* 0.3333333333333333 (* t z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (* 0.3333333333333333 (* t z)))

series15.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(cos (/ (* z t) 3.0))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify106.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
035186
149158
261158
370158
498158
5172158
6691158
72256158
85001158

prune245.0ms

Filtered
40 candidates to 35 candidates (12.5%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New36440
Fresh12425
Picked101
Done000
Total382866

Merged error: 14.3b

Counts
66 → 28

regimes5.5s

Accuracy

62.8% (1.4b remaining)

Error of 18.0b against oracle of 16.6b and baseline of 20.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05946
16146
26146

end0.0ms

sample3.7s

Algorithm
intervals
Results
753.0ms1634×body1280valid
640.0ms9208×body80nan
402.0ms5524×body80valid
301.0ms939×body640valid
281.0ms384×body2560valid
100.0ms426×body320valid
34.0ms208×body160valid

Profiling

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