Details

Time bar (total: 3.2s)

analyze136.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
1.0ms10×body80nan
1.0ms11×body80invalid

simplify92.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

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)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite43.0ms

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)))
13.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series73.0ms

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)))
31.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
18.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
9.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify104.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010081422
146171341
250011341

prune335.0ms

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: 0.0b

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)))))
0.4b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite42.0ms

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:
8.0ms
(* 9.0 (- a (/ 1.0 3.0)))
13.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
11.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 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))))

simplify90.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08701101
142631027
250011027

prune220.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1072109
Fresh336
Picked101
Done000
Total1115116

Merged error: 0.0b

Counts
116 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
164×times-frac
130×add-sqr-sqrt
96×sqrt-prod
88×*-un-lft-identity
58×add-cube-cbrt
28×difference-of-squares
15×add-exp-log add-cbrt-cube
14×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
8×add-log-exp
6×pow1 flip3-- associate-*l* flip--
5×cbrt-undiv div-exp
4×frac-times associate-*r*
3×flip3-+ flip-+
2×sub-neg sqrt-div diff-log associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 190
Calls
4 calls:
5.0ms
(- a (/ 1.0 3.0))
6.0ms
(- a (/ 1.0 3.0))
35.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
13.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- a (/ 1.0 3.0))
5.0ms
(- a (/ 1.0 3.0))
15.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
18.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify116.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010502579
149182422
250012422

prune408.0ms

Filtered
128 candidates to 202 candidates (-57.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2020202
Fresh044
Picked011
Done000
Total2025207

Merged error: 0.0b

Counts
207 → 5

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
20×add-exp-log add-cbrt-cube
19×*-un-lft-identity sqrt-prod
13×associate-*r*
12×associate-*l*
11×pow1 add-cube-cbrt
6×flip3-- sqrt-div associate-*r/ prod-exp flip-- cbrt-unprod difference-of-squares
5×unswap-sqr
4×cbrt-undiv frac-times times-frac div-exp pow-prod-down add-log-exp
3×sqrt-pow1 flip3-+ pow1/2 flip-+ distribute-lft-out--
2×associate-*l/ associate-/r/ *-commutative
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-unprod clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 108
Calls
4 calls:
6.0ms
(sqrt (- a (/ 1.0 3.0)))
12.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
12.0ms
(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
11.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

series45.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sqrt (- a (/ 1.0 3.0)))
15.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))))
18.0ms
(/ (* 1.0 rand) (* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0)))))
9.0ms
(* (sqrt 9.0) (sqrt (- a (/ 1.0 3.0))))

simplify115.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
09231353
149061269
250021269

prune240.0ms

Filtered
89 candidates to 120 candidates (-34.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh123
Picked011
Done011
Total1205125

Merged error: 0.0b

Counts
125 → 5

regimes137.0ms

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

analyze75.0ms

Algorithm
search

sample613.0ms

Algorithm
intervals
Results
447.0ms8000×body80valid
15.0ms275×body80invalid
14.0ms273×body80nan

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