Details

Time bar (total: 8.6s)

analyze2.2s

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.079319%

Guaranteed chance to sample good point: 6.281315%

sample84.0ms

Algorithm
intervals
Results
42.0ms104×body2560valid
22.0ms79×body1280valid
7.0ms34×body640valid
3.0ms22×body320valid
1.0ms10×body160valid
0.0ms7×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1427
2777
31467
42427
54177
627897
750027

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-log-exp
1×acos-asin associate-*r* *-commutative unswap-sqr
Counts
2 → 27
Calls
2 calls:
5.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify109.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0119184
1350154
2945154
33243154
45001154

prune45.0ms

Filtered
21 candidates to 33 candidates (-57.1%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334

Merged error: 0.4b

Counts
34 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
0.0b
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
0.1b
(* 5.0 (* v v))
0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-exp-log
9×add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×log-prod
4×exp-prod add-log-exp
3×associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod
2×log-pow
1×acos-asin rem-log-exp associate-*r* *-commutative rem-exp-log unswap-sqr
Counts
4 → 54
Calls
4 calls:
2.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
1.0ms
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
5.0ms
(* 5.0 (* v v))
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

series35.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(exp (log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))))
25.0ms
(log (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms
(* 5.0 (* v v))
5.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))

simplify116.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0156537
1407466
21036448
33485442
45001442

prune96.0ms

Filtered
39 candidates to 66 candidates (-69.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64266
Fresh101
Picked011
Done011
Total65469

Merged error: 0.4b

Counts
69 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
1.0b
(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×pow-pow
1×acos-asin pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 52
Calls
4 calls:
1.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
2.0ms
(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series129.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))
47.0ms
(pow (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0)))) 2)
40.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
39.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify60.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
0141687
1400610
21597597
35001594

prune153.0ms

Filtered
44 candidates to 64 candidates (-45.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New61364
Fresh101
Picked101
Done112
Total64468

Merged error: 0.4b

Counts
68 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(pow (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 2)
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0b
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp unpow2 sqr-pow
Counts
4 → 58
Calls
4 calls:
3.0ms
(pow (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 2)
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
1.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
3.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

series166.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(pow (cbrt (cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))) 2)
41.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
39.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))
39.0ms
(cbrt (acos (/ (- 1.0 (* 5.0 (* v v))) (- (* v v) 1.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (48.0ms)

IterNodesCost
0154871
1411775
21304761
35002758

prune255.0ms

Filtered
53 candidates to 70 candidates (-32.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh112
Picked101
Done011
Total68674

Merged error: 0.4b

Counts
74 → 6

regimes208.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107
1107

end0.0ms

analyze2.2s

Algorithm
search
sampling

Space saved by range analysis: 0.048828%

Space saved by search: 50.079319%

Guaranteed chance to sample good point: 6.281315%

sample2.5s

Algorithm
intervals
Results
1.3s3049×body2560valid
685.0ms2398×body1280valid
268.0ms1264×body640valid
109.0ms673×body320valid
45.0ms404×body160valid
13.0ms212×body80valid

Profiling

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