Details

Time bar (total: 3.7s)

sample223.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 77.264404%

Guaranteed chance to sample good point: 93.66443%

Results
15.0ms256×body80valid
0.0ms6×body80invalid
0.0ms3×body80nan

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
26×*-un-lft-identity times-frac
24×add-cube-cbrt associate-*l*
13×add-exp-log add-cbrt-cube
11×pow1
8×associate-*r/ sqrt-prod
6×flip3-- sqrt-div associate-*r* flip--
4×frac-times associate-/r* associate-/r/ add-log-exp
3×flip3-+ pow-prod-down associate-*l/ prod-exp cbrt-unprod flip-+ associate-/l* unswap-sqr
2×cbrt-undiv sqrt-pow1 div-exp *-commutative div-inv difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in pow1/2 clear-num distribute-lft-out--
Counts
4 → 114
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
15.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
24.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify108.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010081422
146171341
250011341

prune355.0ms

Filtered
105 candidates to 126 candidates (-20.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0b

Counts
127 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
0.2b
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
10×add-cube-cbrt associate-*r*
9×associate-*l*
8×associate-*r/
6×flip3-- times-frac flip--
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
9.0ms
(* 9.0 (- a (/ 1.0 3.0)))
14.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
12.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 9.0 (- a (/ 1.0 3.0)))
16.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
16.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify93.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08701101
142631027
250011027

prune237.0ms

Filtered
83 candidates to 109 candidates (-31.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh156
Picked011
Done000
Total1097116

Merged error: 0b

Counts
116 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
0.3b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
132×add-sqr-sqrt
93×times-frac
72×*-un-lft-identity
63×sqrt-prod
54×add-cube-cbrt
36×associate-*r*
28×associate-*l*
20×add-exp-log add-cbrt-cube
18×difference-of-squares
10×unswap-sqr
9×pow1 associate-/r* distribute-lft-out--
6×flip3-- sqrt-div flip--
5×cbrt-undiv frac-times div-exp prod-exp cbrt-unprod
4×associate-/r/ add-log-exp
3×flip3-+ associate-*r/ associate-*l/ flip-+ div-inv associate-/l*
2×pow-prod-down *-commutative
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 clear-num
Counts
4 → 186
Calls
4 calls:
6.0ms
(sqrt (- a (/ 1.0 3.0)))
11.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
9.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
29.0ms
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

series52.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- a (/ 1.0 3.0)))
19.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))))
10.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
19.0ms
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

simplify47.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011822210
150012104

prune490.0ms

Filtered
149 candidates to 198 candidates (-32.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1980198
Fresh055
Picked011
Done011
Total1987205

Merged error: 0b

Counts
205 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.6b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
27×sqrt-prod
24×times-frac
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×associate-*l*
15×pow1
12×sqrt-div
11×add-exp-log add-cbrt-cube
9×associate-*r/
5×pow-prod-down
4×flip3-- sqrt-pow1 associate-/r* associate-/r/ flip-- add-log-exp
3×associate-*l/ prod-exp cbrt-unprod associate-/l*
2×pow1/2 div-inv
1×cbrt-undiv frac-times frac-2neg div-exp associate-*r* clear-num *-commutative
Counts
4 → 98
Calls
4 calls:
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
25.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
31.0ms
(* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) (* (sqrt (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand))
5.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify80.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07941316
135511202
250031202

prune363.0ms

Filtered
93 candidates to 110 candidates (-18.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh044
Picked011
Done022
Total1107117

Merged error: 0b

Counts
117 → 7

regimes234.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample895.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 77.264404%

Guaranteed chance to sample good point: 93.66443%

Results
473.0ms8000×body80valid
10.0ms181×body80invalid
7.0ms130×body80nan

Profiling

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