Details

Time bar (total: 7.5s)

sample124.0ms

Algorithm
intervals
Results
25.0ms335×body80nan
17.0ms37×body1280valid
14.0ms194×body80valid
7.0ms23×body640valid
5.0msbody2560valid
4.0ms17×body320valid
1.0msbody160valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
079619
179619

prune16.0ms

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: 17.1b

Counts
2 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (/ t 3.0))
0.2b
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
0.2b
(/ a (* 3.0 b))
21.3b
(cos (- y (* z (/ t 3.0))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-*r* add-cbrt-cube
13×times-frac
associate-*l*
pow1
prod-exp sqrt-prod cbrt-unprod add-log-exp unswap-sqr
cbrt-undiv cos-diff div-exp associate-/l*
cos-sum pow-prod-down *-commutative div-inv
distribute-rgt-in sub-neg frac-2neg distribute-lft-in associate-*r/ clear-num associate-/r*
Counts
4 → 87
Calls
4 calls:
7.0ms
(* z (/ t 3.0))
5.0ms
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
4.0ms
(/ a (* 3.0 b))
4.0ms
(cos (- y (* z (/ t 3.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (/ t 3.0))
31.0ms
(* (sqrt x) (cos (- y (* z (/ t 3.0)))))
3.0ms
(/ a (* 3.0 b))
11.0ms
(cos (- y (* z (/ t 3.0))))

simplify62.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05485916

prune294.0ms

Filtered
73 candidates to 99 candidates (-35.6%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New801999
Fresh101
Picked101
Done000
Total8219101

Merged error: 13.0b

Counts
101 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* 3.0 b))
1.6b
(* (sin (* z (/ t 3.0))) (sqrt x))
26.0b
(sin (* z (/ t 3.0)))
26.4b
(cos (* z (/ t 3.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
sqrt-prod add-log-exp
times-frac associate-*l* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 57
Calls
4 calls:
4.0ms
(/ a (* 3.0 b))
6.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
2.0ms
(sin (* z (/ t 3.0)))
4.0ms
(cos (* z (/ t 3.0)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* 3.0 b))
15.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
4.0ms
(sin (* z (/ t 3.0)))
4.0ms
(cos (* z (/ t 3.0)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04951584
14951584

prune302.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New591069
Fresh01818
Picked101
Done000
Total602888

Merged error: 12.9b

Counts
88 → 28

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* 3.0 b))
1.6b
(* (sin (* z (/ t 3.0))) (sqrt x))
25.8b
(cos (* z (* t 0.3333333333333333)))
26.0b
(sin (* z (/ t 3.0)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
sqrt-prod add-log-exp
times-frac associate-*l* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 57
Calls
4 calls:
4.0ms
(/ a (* 3.0 b))
6.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
4.0ms
(cos (* z (* t 0.3333333333333333)))
2.0ms
(sin (* z (/ t 3.0)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* 3.0 b))
16.0ms
(* (sin (* z (/ t 3.0))) (sqrt x))
3.0ms
(cos (* z (* t 0.3333333333333333)))
4.0ms
(sin (* z (/ t 3.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04950584
14950584

prune288.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New68169
Fresh02727
Picked101
Done000
Total692897

Merged error: 12.9b

Counts
97 → 28

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* 3.0 b))
1.6b
(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
25.8b
(sin (* z (* t 0.3333333333333333)))
25.8b
(cos (* z (* t 0.3333333333333333)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×add-exp-log add-cbrt-cube
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
sqrt-prod add-log-exp
times-frac associate-*l* associate-/l*
cbrt-undiv div-exp prod-exp cbrt-unprod unswap-sqr
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 57
Calls
4 calls:
4.0ms
(/ a (* 3.0 b))
6.0ms
(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
3.0ms
(sin (* z (* t 0.3333333333333333)))
3.0ms
(cos (* z (* t 0.3333333333333333)))

series27.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ a (* 3.0 b))
16.0ms
(* (sin (* z (* t 0.3333333333333333))) (sqrt x))
4.0ms
(sin (* z (* t 0.3333333333333333)))
4.0ms
(cos (* z (* t 0.3333333333333333)))

simplify56.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05413584

prune120.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New68169
Fresh02727
Picked101
Done000
Total692897

Merged error: 12.9b

Counts
97 → 28

regimes1.7s

Accuracy

37.5% (2.3b remaining)

Error of 18.9b against oracle of 16.6b and baseline of 20.3b

bsearch197.0ms

Steps
ItersRangePoint
11
5.081338216803359e-81
7.530710026473065e-60
3.4266365036128116e-61
11
-32243872.463409267
-1.36669661473657e-13
-0.002494048006713123

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
095101
195101

end0.0ms

sample3.9s

Algorithm
intervals
Results
960.0ms1594×body1280valid
676.0ms8939×body80nan
423.0ms5546×body80valid
303.0ms929×body640valid
289.0ms382×body2560valid
106.0ms434×body320valid
36.0ms211×body160valid

Profiling

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