Details

Time bar (total: 8.7s)

sample145.0ms

Algorithm
intervals
Results
27.0ms59×body1280valid
17.0ms167×body80valid
13.0ms18×body2560valid
11.0ms153×body80nan
8.0ms24×body640valid
3.0ms11×body320valid
1.0ms6×body160valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.4b

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))))
25.1b
(cos (- y (/ (* z t) 3.0)))

rewrite23.0ms

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

series47.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* z t) 3.0)
3.0ms
(/ a (* b 3.0))
30.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms
(cos (- y (/ (* z t) 3.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25001432

prune248.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New622284
Fresh000
Picked101
Done000
Total632285

Merged error: 18.2b

Counts
85 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.2b
(cos (/ (* z t) 3.0))
30.4b
(sin (/ (* z t) 3.0))

rewrite21.0ms

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:
7.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series67.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
29.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (/ (* z t) 3.0))
4.0ms
(sin (/ (* z t) 3.0))

simplify45.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0383704
11621550
25002550

prune271.0ms

Filtered
46 candidates to 72 candidates (-56.5%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New611172
Fresh41721
Picked101
Done000
Total662894

Merged error: 18.0b

Counts
94 → 28

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.3b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.2b
(sin (* 0.3333333333333333 (* t z)))
30.2b
(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:
7.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
8.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms
(sin (* 0.3333333333333333 (* t z)))
3.0ms
(cos (/ (* z t) 3.0))

series65.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
28.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms
(sin (* 0.3333333333333333 (* t z)))
3.0ms
(cos (/ (* z t) 3.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0387704
11640550
25002550

prune256.0ms

Filtered
43 candidates to 72 candidates (-67.4%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New70272
Fresh12627
Picked101
Done000
Total7228100

Merged error: 18.0b

Counts
100 → 28

localize31.0ms

Local error

Found 4 expressions with local error:

30.2b
(cos (/ (* z t) 3.0))
30.2b
(cos (/ (* z t) 3.0))
30.2b
(cos (/ (* z t) 3.0))
30.4b
(sin (/ (* z t) 3.0))

rewrite10.0ms

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 (/ (* z t) 3.0))

series14.0ms

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

simplify104.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
036186
152158
263158
372158
4100158
5174158
6693158
72258158
85001158

prune129.0ms

Filtered
36 candidates to 40 candidates (-11.1%)
Pruning

29 alts after pruning (29 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh02727
Picked101
Done000
Total392968

Merged error: 17.9b

Counts
68 → 29

regimes4.0s

Accuracy

62.6% (1.5b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 20.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05436
15636
25636

end0.0ms

sample3.0s

Algorithm
intervals
Results
731.0ms1563×body1280valid
444.0ms5672×body80valid
342.0ms4371×body80nan
315.0ms945×body640valid
300.0ms392×body2560valid
102.0ms428×body320valid
38.0ms192×body160valid

Profiling

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