Details

Time bar (total: 7.4s)

sample91.0ms

Algorithm
intervals
Results
19.0ms282×body80nan
17.0ms42×body1280valid
11.0ms186×body80valid
8.0ms31×body640valid
5.0ms7×body2560valid
3.0ms16×body320valid
1.0ms5×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: 18.5b

Counts
2 → 1

localize17.0ms

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))))
23.7b
(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)
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)))

series168.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (* z t) 3.0)
18.0ms
(/ a (* b 3.0))
90.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
43.0ms
(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0404507
11689429
25001426

prune317.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New651984
Fresh000
Picked101
Done000
Total661985

Merged error: 15.2b

Counts
85 → 19

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.7b
(cos (/ (* z t) 3.0))
28.0b
(sin (/ (* 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
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series223.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (* 2.0 (sqrt x)) (* (cos y) (cos (/ (* z t) 3.0))))
91.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
9.0ms
(cos (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0351704
11500545
25001540

prune341.0ms

Filtered
72 candidates to 44 candidates (61.1%)
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New63972
Fresh21618
Picked101
Done000
Total662591

Merged error: 15.0b

Counts
91 → 25

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (cos (/ (* z t) 3.0))))
2.1b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.7b
(cos (/ (* z t) 3.0))
28.0b
(sin (/ (* z t) 3.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-exp-log add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×log-pow add-log-exp
3×log-prod exp-prod
1×associate-*r/ rem-log-exp associate-*r* associate-*l* *-commutative sin-mult
Counts
4 → 52
Calls
4 calls:
3.0ms
(log (exp (cos (/ (* z t) 3.0))))
9.0ms
(* (* 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))

series126.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(log (exp (cos (/ (* z t) 3.0))))
91.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))

simplify115.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0228492
1822393
24069391
35001379

prune343.0ms

Filtered
64 candidates to 45 candidates (70.3%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New61364
Fresh32124
Picked101
Done000
Total652489

Merged error: 15.0b

Counts
89 → 24

localize32.0ms

Local error

Found 4 expressions with local error:

27.7b
(cos (/ (* z t) 3.0))
28.0b
(sin (/ (* z t) 3.0))
28.0b
(sin (/ (* z t) 3.0))
28.0b
(sin (/ (* 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
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series57.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(cos (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
18.0ms
(sin (/ (* z t) 3.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
036190
152162
263162
372162
4100162
5174162
6693162
72258162
85001162

prune238.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New38240
Fresh12223
Picked101
Done000
Total402464

Merged error: 14.9b

Counts
64 → 24

regimes2.1s

Accuracy

58.2% (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 (1.0ms)

IterNodesCost
05546
15546

end0.0ms

sample2.9s

Algorithm
intervals
Results
631.0ms1555×body1280valid
559.0ms9285×body80nan
351.0ms5631×body80valid
262.0ms922×body640valid
252.0ms373×body2560valid
94.0ms455×body320valid
30.0ms194×body160valid

Profiling

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