Details

Time bar (total: 8.2s)

sample192.0ms

Algorithm
intervals
Results
49.0ms357×body80nan
35.0ms44×body1280valid
26.0ms195×body80valid
15.0ms27×body640valid
11.0ms9×body2560valid
5.0ms13×body320valid
2.0ms7×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.1b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.3b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
25.4b
(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

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:
4.0ms
(/ (* z t) 3.0)
4.0ms
(/ a (* b 3.0))
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
6.0ms
(cos (- y (/ (* z t) 3.0)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
17.0ms
(/ a (* b 3.0))
112.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
35.0ms
(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0419507
11751432
25001432

prune314.0ms

Filtered
84 candidates to 59 candidates (70.2%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New622284
Fresh000
Picked101
Done000
Total632285

Merged error: 14.9b

Counts
85 → 22

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.9b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.2b
(sin (/ (* z t) 3.0))
29.6b
(cos (/ (* z t) 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
28×pow1 add-exp-log add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
2×associate-*r/ associate-*r* associate-*l* *-commutative
1×cos-mult sin-mult
Counts
4 → 60
Calls
4 calls:
8.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
9.0ms
(* (* 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))

series268.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
110.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383704
11621550
25002550

prune348.0ms

Filtered
72 candidates to 46 candidates (63.9%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New63972
Fresh41721
Picked101
Done000
Total682694

Merged error: 14.8b

Counts
94 → 26

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
1.9b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
29.2b
(sin (/ (* z t) 3.0))
29.6b
(cos (/ (* z t) 3.0))

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 (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series154.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
112.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0329482
11223383
25001383

prune357.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New68270
Fresh22325
Picked101
Done000
Total712596

Merged error: 14.8b

Counts
96 → 25

localize38.0ms

Local error

Found 4 expressions with local error:

29.2b
(sin (/ (* z t) 3.0))
29.2b
(sin (/ (* z t) 3.0))
29.2b
(sin (/ (* z t) 3.0))
29.6b
(cos (/ (* z t) 3.0))

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
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series54.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
10.0ms
(cos (/ (* z t) 3.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
036190
152162
263162
372162
4100162
5174162
6693162
72258162
85001162

prune230.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh02424
Picked101
Done000
Total392665

Merged error: 14.8b

Counts
65 → 26

regimes2.2s

Accuracy

57.9% (1.6b remaining)

Error of 18.1b against oracle of 16.5b and baseline of 20.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06459
16459

end0.0ms

sample3.4s

Algorithm
intervals
Results
790.0ms1569×body1280valid
728.0ms9104×body80nan
455.0ms5577×body80valid
331.0ms908×body640valid
311.0ms392×body2560valid
110.0ms428×body320valid
43.0ms234×body160valid

Profiling

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