Details

Time bar (total: 10.5s)

sample103.0ms

Algorithm
intervals
Results
22.0ms51×body1280valid
20.0ms258×body80nan
11.0ms166×body80valid
10.0ms32×body640valid
8.0ms11×body2560valid
3.0ms12×body320valid
2.0ms14×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: 21.7b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* z t) 3.0)
0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b
(/ a (* b 3.0))
26.7b
(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

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
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms
(/ a (* b 3.0))
5.0ms
(cos (- y (/ (* z t) 3.0)))

series162.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
91.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
21.0ms
(/ a (* b 3.0))
32.0ms
(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0404507
11689429
25001426

prune346.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

26 alts after pruning (26 fresh and 0 done)

PrunedKeptTotal
New582684
Fresh000
Picked101
Done000
Total592685

Merged error: 18.1b

Counts
85 → 26

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (* b 3.0))
0.3b
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
0.3b
(/ t (cbrt 3.0))
26.4b
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
49×times-frac
36×add-cube-cbrt *-un-lft-identity
32×add-exp-log
24×add-cbrt-cube
23×cbrt-prod
22×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* associate-/r*
6×pow1 associate-/l* unswap-sqr
4×div-inv add-log-exp
2×cos-sum frac-2neg clear-num
1×cos-diff frac-times sub-neg associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 129
Calls
4 calls:
7.0ms
(/ a (* b 3.0))
15.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
4.0ms
(/ t (cbrt 3.0))
3.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

series272.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ a (* b 3.0))
91.0ms
(* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))
53.0ms
(/ t (cbrt 3.0))
103.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0)))))

simplify67.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05681079
12666957
25002928

prune623.0ms

Filtered
141 candidates to 105 candidates (74.5%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New12912141
Fresh61925
Picked101
Done000
Total13631167

Merged error: 17.9b

Counts
167 → 31

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
26.7b
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (cbrt 3.0))))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
3.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (cbrt 3.0))))))

series868.0ms

Counts
4 → 12
Calls
4 calls:
387.0ms
(cbrt t)
177.0ms
(cbrt t)
179.0ms
(cbrt t)
125.0ms
(cos (- y (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (* (* (cbrt t) (cbrt t)) (/ (cbrt t) (cbrt 3.0))))))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0113370
1290332
21075326
35001326

prune422.0ms

Filtered
55 candidates to 46 candidates (83.6%)
Pruning

37 alts after pruning (37 fresh and 0 done)

PrunedKeptTotal
New431255
Fresh52530
Picked101
Done000
Total493786

Merged error: 17.7b

Counts
86 → 37

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
26.2b
(cos (- y (* (/ (* z (* (cbrt t) (cbrt t))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt t) (cbrt 3.0)))))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
2×cos-sum
1×cos-diff sub-neg
Counts
4 → 43
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
3.0ms
(cos (- y (* (/ (* z (* (cbrt t) (cbrt t))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt t) (cbrt 3.0)))))

series669.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt t)
187.0ms
(cbrt t)
180.0ms
(cbrt t)
122.0ms
(cos (- y (* (/ (* z (* (cbrt t) (cbrt t))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt t) (cbrt 3.0)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (11.0ms)

IterNodesCost
0117370
1305332
21160326
35001326

prune253.0ms

Filtered
55 candidates to 46 candidates (83.6%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New49655
Fresh72936
Picked101
Done000
Total573592

Merged error: 17.7b

Counts
92 → 35

regimes3.3s

Accuracy

54.7% (1.9b remaining)

Error of 18.2b against oracle of 16.3b and baseline of 20.5b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05750
15750

end0.0ms

sample3.1s

Algorithm
intervals
Results
670.0ms1524×body1280valid
635.0ms9203×body80nan
396.0ms5620×body80valid
292.0ms955×body640valid
279.0ms398×body2560valid
97.0ms426×body320valid
34.0ms201×body160valid

Profiling

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