Details

Time bar (total: 9.4s)

sample120.0ms

Algorithm
intervals
Results
28.0ms58×body1280valid
24.0ms272×body80nan
14.0ms173×body80valid
13.0ms38×body640valid
8.0ms10×body2560valid
3.0ms12×body320valid
1.0ms6×body160valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 25.5b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(/ a (* b 3.0))
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.8b
(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))))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series165.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
93.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
36.0ms
(cos (- y (/ (* z t) 3.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0404507
11689429
25001426

prune348.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New612384
Fresh000
Picked101
Done000
Total622385

Merged error: 18.5b

Counts
85 → 23

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.9b
(cos (/ (* z t) 3.0))
31.1b
(sin (/ (* z t) 3.0))

rewrite27.0ms

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))))
12.0ms
(* (* 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))

series232.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
95.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
16.0ms
(sin (/ (* z t) 3.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0351704
11500545
25001540

prune543.0ms

Filtered
72 candidates to 44 candidates (61.1%)
Pruning

30 alts after pruning (30 fresh and 0 done)

PrunedKeptTotal
New611172
Fresh31922
Picked101
Done000
Total653095

Merged error: 18.3b

Counts
95 → 30

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
30.6b
(cos (* 0.3333333333333333 (* t z)))
31.1b
(sin (/ (* z t) 3.0))

rewrite28.0ms

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:
9.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
11.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
3.0ms
(cos (* 0.3333333333333333 (* t z)))
2.0ms
(sin (/ (* z t) 3.0))

series230.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
96.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (/ (* z t) 3.0))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0355704
11526545
25001540

prune384.0ms

Filtered
72 candidates to 42 candidates (58.3%)
Pruning

33 alts after pruning (33 fresh and 0 done)

PrunedKeptTotal
New67572
Fresh12829
Picked101
Done000
Total6933102

Merged error: 18.3b

Counts
102 → 33

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
1.8b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
30.6b
(cos (* 0.3333333333333333 (* t z)))
30.9b
(sin (* 0.3333333333333333 (* t z)))

rewrite29.0ms

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:
9.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
10.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
5.0ms
(cos (* 0.3333333333333333 (* t z)))
3.0ms
(sin (* 0.3333333333333333 (* t z)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (* 0.3333333333333333 (* t z)))))
93.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
10.0ms
(cos (* 0.3333333333333333 (* t z)))
16.0ms
(sin (* 0.3333333333333333 (* t z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0341704
11502545
25001540

prune237.0ms

Filtered
72 candidates to 42 candidates (58.3%)
Pruning

32 alts after pruning (32 fresh and 0 done)

PrunedKeptTotal
New68472
Fresh42832
Picked101
Done000
Total7332105

Merged error: 18.3b

Counts
105 → 32

regimes3.0s

Accuracy

61.1% (1.5b remaining)

Error of 18.0b against oracle of 16.5b and baseline of 20.4b

bsearch2.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06042
16242
26242

end0.0ms

sample3.5s

Algorithm
intervals
Results
772.0ms1516×body1280valid
734.0ms8932×body80nan
466.0ms5595×body80valid
343.0ms970×body640valid
314.0ms393×body2560valid
110.0ms418×body320valid
40.0ms222×body160valid

Profiling

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