Details

Time bar (total: 15.6s)

analyze2.4s

Algorithm
search
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 37.682882%

Guaranteed chance to sample good point: 40%

sample85.0ms

Algorithm
intervals
Results
24.0ms51×body1280valid
11.0ms140×body80valid
10.0ms14×body2560valid
10.0ms31×body640valid
5.0ms68×body80nan
3.0ms12×body320valid
2.0ms31×body80invalid
1.0ms8×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
15510
27610
38910
49210
59210

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.3b

Counts
2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b
(/ a (* b 3.0))
0.4b
(/ (* z t) 3.0)
22.1b
(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:
6.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms
(/ a (* b 3.0))
5.0ms
(/ (* z t) 3.0)
5.0ms
(cos (- y (/ (* z t) 3.0)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms
(/ a (* b 3.0))
4.0ms
(/ (* z t) 3.0)
11.0ms
(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0419507
11751432
25002432

prune256.0ms

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

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New642084
Fresh000
Picked101
Done000
Total652085

Merged error: 17.3b

Counts
85 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (* z t) 3.0)
0.4b
(/ (* z t) 3.0)
26.1b
(cos (/ (* z t) 3.0))
26.7b
(sin (/ (* z t) 3.0))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac associate-/r*
4×pow1 cbrt-undiv div-exp add-log-exp
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l*
Counts
4 → 56
Calls
4 calls:
4.0ms
(/ (* z t) 3.0)
5.0ms
(/ (* z t) 3.0)
2.0ms
(cos (/ (* z t) 3.0))
2.0ms
(sin (/ (* z t) 3.0))

series15.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0136264
1557220
22545220
35001220

prune289.0ms

Filtered
50 candidates to 68 candidates (-36.0%)
Pruning

28 alts after pruning (28 fresh and 0 done)

PrunedKeptTotal
New571168
Fresh21719
Picked101
Done000
Total602888

Merged error: 17.0b

Counts
88 → 28

localize32.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (/ (* z t) 3.0))
15.7b
(cbrt (/ (* z t) 3.0))
26.5b
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
26.7b
(sin (/ (* z t) 3.0))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 46
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))

series45.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(cbrt (/ (* z t) 3.0))
17.0ms
(cbrt (/ (* z t) 3.0))
7.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (cbrt (/ (* z t) 3.0))) (cbrt (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))

simplify62.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (18.0ms)

IterNodesCost
0135424
1283378
2745366
32204350
45001350

prune386.0ms

Filtered
49 candidates to 58 candidates (-18.4%)
Pruning

35 alts after pruning (35 fresh and 0 done)

PrunedKeptTotal
New471158
Fresh32427
Picked101
Done000
Total513586

Merged error: 16.8b

Counts
86 → 35

localize39.0ms

Local error

Found 4 expressions with local error:

15.7b
(cbrt (/ (* z t) 3.0))
15.7b
(cbrt (/ (* z t) 3.0))
26.1b
(cos (* (* (cbrt (/ (* z t) 3.0)) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))) (cbrt (/ (* z t) 3.0))))
26.7b
(sin (/ (* z t) 3.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×times-frac
4×pow1 add-exp-log add-cbrt-cube add-log-exp
2×cbrt-div pow1/3 div-inv
Counts
4 → 46
Calls
4 calls:
3.0ms
(cbrt (/ (* z t) 3.0))
3.0ms
(cbrt (/ (* z t) 3.0))
8.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))) (cbrt (/ (* z t) 3.0))))
2.0ms
(sin (/ (* z t) 3.0))

series49.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt (/ (* z t) 3.0))
17.0ms
(cbrt (/ (* z t) 3.0))
8.0ms
(cos (* (* (cbrt (/ (* z t) 3.0)) (* (* (cbrt (cbrt (/ (* z t) 3.0))) (cbrt (cbrt (/ (* z t) 3.0)))) (cbrt (cbrt (/ (* z t) 3.0))))) (cbrt (/ (* z t) 3.0))))
4.0ms
(sin (/ (* z t) 3.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (19.0ms)

IterNodesCost
0144534
1306466
2796454
32421438
45001438

prune240.0ms

Filtered
49 candidates to 58 candidates (-18.4%)
Pruning

41 alts after pruning (41 fresh and 0 done)

PrunedKeptTotal
New471158
Fresh43034
Picked101
Done000
Total524193

Merged error: 16.7b

Counts
93 → 41

regimes6.4s

Accuracy

57.5% (1.8b remaining)

Error of 18.0b against oracle of 16.2b and baseline of 20.4b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05950
16150
26150

end0.0ms

analyze2.4s

Algorithm
search
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 37.682882%

Guaranteed chance to sample good point: 40%

sample2.5s

Algorithm
intervals
Results
744.0ms1581×body1280valid
338.0ms4451×body80valid
319.0ms956×body640valid
287.0ms385×body2560valid
185.0ms2373×body80nan
105.0ms434×body320valid
85.0ms1172×body80invalid
36.0ms193×body160valid

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