Details

Time bar (total: 2.6s)

sample30.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.061035%

Guaranteed chance to sample good point: 99.987778%

Results
17.0ms256×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
4×add-log-exp
3×*-commutative
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
10.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms
(* 3.0 (* v v))

series34.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
12.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08131605
136491515
250011512

prune272.0ms

Filtered
99 candidates to 140 candidates (-41.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1373140
Fresh000
Picked101
Done000
Total1383141

Merged error: 0b

Counts
141 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
0.2b
(* 3.0 (* v v))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*
29×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac
17×pow1
16×sqrt-prod
14×associate-*r/
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
7×pow-prod-down associate-*l/
6×sub-neg associate-*r*
4×add-log-exp
3×*-commutative unswap-sqr
2×cbrt-undiv div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 135
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
7.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
13.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
5.0ms
(* 3.0 (* v v))

series33.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
9.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
16.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
3.0ms
(* 3.0 (* v v))

simplify92.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
08701771
137181674
250011673

prune272.0ms

Filtered
103 candidates to 147 candidates (-42.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1461147
Fresh112
Picked011
Done000
Total1473150

Merged error: 0b

Counts
150 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* v v)))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
0.2b
(* 3.0 (* v v))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
112×sqrt-div
82×frac-times
56×flip3-- flip--
42×associate-*r/
30×add-exp-log add-cbrt-cube
29×associate-*l/
25×add-sqr-sqrt associate-*l*
20×pow1 add-cube-cbrt *-un-lft-identity
18×times-frac
17×sqrt-prod
15×prod-exp cbrt-unprod
9×pow-prod-down
4×add-log-exp
3×cbrt-undiv div-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative difference-of-squares
1×div-inv unswap-sqr
Counts
4 → 150
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (* v v)))
2.0ms
(sqrt (- 1.0 (* v v)))
21.0ms
(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series30.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(sqrt (- 1.0 (* v v)))
4.0ms
(sqrt (- 1.0 (* v v)))
17.0ms
(* (/ (sqrt 2.0) 4.0) (* (* (sqrt (- 1.0 (* 3.0 (* v v)))) (sqrt (- 1.0 (* v v)))) (sqrt (- 1.0 (* v v)))))
3.0ms
(* 3.0 (* v v))

simplify98.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010592505
138292248
250022248

prune398.0ms

Filtered
116 candidates to 162 candidates (-39.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh011
Picked011
Done011
Total1623165

Merged error: 0b

Counts
165 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
54×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×sqrt-prod
9×associate-/l*
6×add-exp-log associate-/r*
5×add-cbrt-cube
4×pow1 add-log-exp
3×pow1/3
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 114
Calls
4 calls:
6.0ms
(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)
1.0ms
(cbrt 2.0)

series0.0ms

Counts
4 → 4
Calls
4 calls:
0.0ms
(/ (sqrt (cbrt 2.0)) (cbrt 4.0))
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 4 (56.0ms)

IterNodesCost
0181909
1422883
21021871
32465835
45001832

prune338.0ms

Filtered
77 candidates to 118 candidates (-53.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done022
Total1183121

Merged error: 0b

Counts
121 → 3

regimes58.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample561.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 50.061035%

Guaranteed chance to sample good point: 99.987778%

Results
420.0ms8000×body80valid
0.0ms1×body80nan

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