Details

Time bar (total: 12.4s)

sample127.0ms

Algorithm
intervals
Results
28.0ms65×body1280valid
18.0ms264×body80nan
14.0ms163×body80valid
10.0ms32×body640valid
8.0ms11×body2560valid
3.0ms13×body320valid
1.0ms6×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: 20.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.3b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
23.2b
(cos (- y (/ (* z t) 3.0)))

rewrite24.0ms

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)
6.0ms
(/ a (* b 3.0))
7.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* z t) 3.0)
22.0ms
(/ a (* b 3.0))
135.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0419507
11751432
25001432

prune696.0ms

Filtered
84 candidates to 59 candidates (29.8%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New661884
Fresh000
Picked101
Done000
Total671885

Merged error: 16.8b

Counts
85 → 18

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (/ (* z t) 3.0)))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.7b
(cos (/ (* z t) 3.0))
29.0b
(sin (/ (* z t) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
9.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series359.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
270.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
10.0ms
(cos (/ (* z t) 3.0))
17.0ms
(sin (/ (* z t) 3.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0392756
11908649
25002648

prune539.0ms

Filtered
68 candidates to 51 candidates (25.0%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New59968
Fresh21517
Picked101
Done000
Total622486

Merged error: 16.5b

Counts
86 → 24

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (/ (* z t) 3.0)))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
28.9b
(cos (* 0.3333333333333333 (* t z)))
29.0b
(sin (/ (* z t) 3.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
5.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
12.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series352.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (sin y) (sin (/ (* z t) 3.0)))
274.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (/ (* z t) 3.0)))))
11.0ms
(cos (* 0.3333333333333333 (* t z)))
18.0ms
(sin (/ (* z t) 3.0))

simplify59.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0398756
11922649
25002648

prune528.0ms

Filtered
68 candidates to 50 candidates (26.5%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New64468
Fresh12223
Picked101
Done000
Total662692

Merged error: 16.5b

Counts
92 → 26

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
0.3b
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
28.9b
(cos (* 0.3333333333333333 (* t z)))
28.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×associate-*r/
2×*-commutative sin-mult
1×distribute-rgt-in distribute-lft-in flip3-+ frac-add cos-mult flip-+ unswap-sqr
Counts
4 → 56
Calls
4 calls:
5.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
11.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
2.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (sin y) (sin (* 0.3333333333333333 (* t z))))
266.0ms
(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
18.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify56.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0384756
11893649
25002648

prune319.0ms

Filtered
68 candidates to 49 candidates (27.9%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh02525
Picked101
Done000
Total672794

Merged error: 16.5b

Counts
94 → 27

regimes5.0s

Accuracy

61.3% (1.4b remaining)

Error of 17.5b against oracle of 16.1b and baseline of 19.7b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05630
15830
25830

end0.0ms

sample3.5s

Algorithm
intervals
Results
677.0ms1546×body1280valid
629.0ms9193×body80nan
397.0ms5583×body80valid
299.0ms976×body640valid
258.0ms364×body2560valid
93.0ms406×body320valid
30.0ms192×body160valid

Profiling

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