Details

Time bar (total: 8.2s)

sample137.0ms

Algorithm
intervals
Results
31.0ms56×body1280valid
28.0ms286×body80nan
17.0ms185×body80valid
13.0ms34×body640valid
7.0ms8×body2560valid
4.0ms15×body320valid
0.0ms3×body160valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune5.0ms

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: 19.6b

Counts
2 → 1

localize31.0ms

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))))
0.2b
(/ a (* b 3.0))
20.7b
(cos (- y (/ (* z t) 3.0)))

rewrite37.0ms

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:
7.0ms
(/ (* z t) 3.0)
10.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
7.0ms
(/ a (* b 3.0))
9.0ms
(cos (- y (/ (* z t) 3.0)))

series181.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (* z t) 3.0)
110.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms
(/ a (* b 3.0))
38.0ms
(cos (- y (/ (* z t) 3.0)))

simplify44.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0404507
11689429
25001426

prune324.0ms

Filtered
84 candidates to 58 candidates (69.0%)
Pruning

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New622284
Fresh000
Picked101
Done000
Total632285

Merged error: 15.9b

Counts
85 → 22

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ a (* b 3.0))
2.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* z t) 3.0))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
16×pow1
9×prod-exp cbrt-unprod
8×pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg associate-*r/ associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv sin-mult
Counts
4 → 58
Calls
4 calls:
4.0ms
(/ a (* b 3.0))
9.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series129.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ a (* b 3.0))
87.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
15.0ms
(sin (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0306482
11150381
25001379

prune362.0ms

Filtered
70 candidates to 48 candidates (68.6%)
Pruning

27 alts after pruning (27 fresh and 0 done)

PrunedKeptTotal
New601070
Fresh41721
Picked101
Done000
Total652792

Merged error: 15.8b

Counts
92 → 27

localize33.0ms

Local error

Found 4 expressions with local error:

26.4b
(sin (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* 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
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series57.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sin (/ (* z t) 3.0))
15.0ms
(sin (/ (* z t) 3.0))
14.0ms
(sin (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
036190
152162
263162
372162
4100162
5174162
6693162
72258162
85001162

prune309.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New38240
Fresh12526
Picked011
Done000
Total392867

Merged error: 15.8b

Counts
67 → 28

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(log (exp (cos (/ (* z t) 3.0))))
2.4b
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
26.4b
(sin (/ (* z t) 3.0))
26.5b
(cos (/ (* z t) 3.0))

rewrite18.0ms

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
(sin (/ (* z t) 3.0))
2.0ms
(cos (/ (* z t) 3.0))

series121.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(log (exp (cos (/ (* z t) 3.0))))
86.0ms
(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms
(sin (/ (* z t) 3.0))
9.0ms
(cos (/ (* z t) 3.0))

simplify110.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0228492
1822393
24069391
35001379

prune233.0ms

Filtered
64 candidates to 43 candidates (67.2%)
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh02626
Picked101
Done011
Total623092

Merged error: 15.8b

Counts
92 → 30

regimes2.6s

Accuracy

61.3% (1.4b remaining)

Error of 17.8b against oracle of 16.3b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05546
15546

end0.0ms

sample3.2s

Algorithm
intervals
Results
695.0ms1542×body1280valid
666.0ms9329×body80nan
426.0ms5690×body80valid
298.0ms923×body640valid
289.0ms394×body2560valid
98.0ms411×body320valid
35.0ms214×body160valid

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