Details

Time bar (total: 10.5s)

sample96.0ms

Algorithm
intervals
Results
45.0ms957×body80nan
14.0ms306×body80valid

simplify95.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize12.0ms

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

rewrite45.0ms

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)))
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
23.0ms
(* (/ 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))))

simplify101.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010081422
146171341
250011341

prune1.5s

Filtered
126 candidates to 105 candidates (16.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
0.2b
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.4b
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
142×add-sqr-sqrt
102×times-frac
76×*-un-lft-identity
62×add-exp-log sqrt-prod
54×add-cube-cbrt
39×associate-*r*
38×add-cbrt-cube
29×associate-*l*
26×prod-exp
17×div-exp
16×difference-of-squares unswap-sqr
14×cbrt-unprod
13×pow1
9×cbrt-undiv associate-/r*
8×distribute-lft-out--
7×associate-*l/
6×frac-times
5×flip3-- pow-prod-down flip--
4×rec-exp sqrt-div 1-exp associate-*r/ associate-/r/ add-log-exp
3×flip3-+ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 209
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
17.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
29.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)))
23.0ms
(* (* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
6.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
15.0ms
(* (/ 1 (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013542645
150012372

prune3.2s

Filtered
221 candidates to 145 candidates (34.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2192221
Fresh246
Picked011
Done000
Total2217228

Merged error: 0b

Counts
228 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
32×times-frac
31×*-un-lft-identity
26×associate-*r*
23×add-cube-cbrt
22×sqrt-prod
19×add-exp-log add-cbrt-cube
9×associate-*l* associate-/r*
7×pow1
6×difference-of-squares
5×cbrt-undiv div-exp prod-exp cbrt-unprod
4×frac-times flip3-- associate-*r/ flip-- unswap-sqr
3×flip3-+ flip-+ distribute-lft-out-- add-log-exp
2×sqrt-div pow-prod-down associate-*l/ associate-/r/ *-commutative div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/l/ distribute-lft-out associate-/l*
Counts
3 → 112
Calls
3 calls:
23.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* rand (/ 1.0 (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))))
13.0ms
(/ (* rand (/ 1.0 (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))
9.0ms
(* rand (/ 1.0 (sqrt 9.0)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* rand (/ 1.0 (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))))
20.0ms
(/ (* rand (/ 1.0 (sqrt 9.0))) (sqrt (- a (/ 1.0 3.0))))
6.0ms
(* rand (/ 1.0 (sqrt 9.0)))

simplify120.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08891274
147551177
250011177

prune929.0ms

Filtered
121 candidates to 87 candidates (28.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1192121
Fresh325
Picked101
Done011
Total1235128

Merged error: 0b

Counts
128 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
118×add-sqr-sqrt
96×sqrt-prod
82×*-un-lft-identity
56×add-cube-cbrt
24×difference-of-squares
13×add-exp-log add-cbrt-cube
12×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
6×associate-*l*
5×cbrt-undiv div-exp
4×pow1 frac-times flip3-- associate-*r* flip--
3×flip3-+ flip-+
2×sqrt-div associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
2 → 160
Calls
2 calls:
35.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* rand 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
14.0ms
(/ (/ (* rand 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series36.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* rand 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
20.0ms
(/ (/ (* rand 1.0) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify113.0ms

Algorithm
egg-herbie
Counts
166 → 166
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010442425
148572278
250022278

prune1.2s

Filtered
166 candidates to 102 candidates (38.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1660166
Fresh033
Picked011
Done011
Total1665171

Merged error: 0b

Counts
171 → 5

regimes146.0ms

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
01711
11711

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s27622×body80nan
419.0ms9186×body80valid

Profiling

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