Details

Time bar (total: 5.5s)

sample101.0ms

Algorithm
intervals
Results
53.0ms984×body80nan
15.0ms286×body80valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune3.0ms

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

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

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

series51.0ms

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)))
5.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
19.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
12.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010081422
146171341
250011341

prune334.0ms

Filtered
126 candidates to 105 candidates (16.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1188126
Fresh000
Picked101
Done000
Total1198127

Merged error: 0.0b

Counts
127 → 8

localize10.0ms

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

rewrite43.0ms

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)))
13.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
12.0ms
(/ (* 1.0 rand) (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)))
14.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
5.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
18.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify88.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08701101
142631027
250011027

prune256.0ms

Filtered
109 candidates to 83 candidates (23.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh347
Picked011
Done000
Total1107117

Merged error: 0.0b

Counts
117 → 7

localize19.0ms

Local error

Found 3 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))))))
0.3b
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
126×add-sqr-sqrt
102×sqrt-prod
86×*-un-lft-identity
58×add-cube-cbrt
26×difference-of-squares
14×add-exp-log add-cbrt-cube
13×distribute-lft-out--
11×div-inv
10×associate-/l*
9×associate-/r*
6×pow1 associate-*l*
5×cbrt-undiv flip3-- div-exp flip--
4×frac-times sqrt-div associate-*r*
3×flip3-+ flip-+ add-log-exp
2×associate-*r/ associate-*l/ prod-exp associate-/r/ cbrt-unprod
1×distribute-rgt-in rem-sqrt-square frac-2neg distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down clear-num *-commutative associate-/l/ distribute-lft-out unswap-sqr
Counts
3 → 178
Calls
3 calls:
6.0ms
(sqrt (- a (/ 1.0 3.0)))
37.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))))
24.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

series41.0ms

Counts
3 → 9
Calls
3 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))))))
22.0ms
(/ (/ (* 1.0 rand) (sqrt 9.0)) (sqrt (- a (/ 1.0 3.0))))

simplify49.0ms

Algorithm
egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011122575
150012425

prune393.0ms

Filtered
187 candidates to 119 candidates (36.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh055
Picked011
Done011
Total1877194

Merged error: 0.0b

Counts
194 → 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)))))))
0.2b
(/ rand (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

rewrite61.0ms

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)))
12.0ms
(* (- 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))))
25.0ms
(* (/ 1.0 (sqrt 9.0)) (/ rand (sqrt (- a (/ 1.0 3.0)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- a (/ 1.0 3.0)))
15.0ms
(* (- 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)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011822210
150012104

prune443.0ms

Filtered
198 candidates to 149 candidates (24.7%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh044
Picked011
Done022
Total1987205

Merged error: 0.0b

Counts
205 → 7

regimes228.0ms

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

sample2.9s

Algorithm
intervals
Results
1.5s27436×body80nan
512.0ms9163×body80valid

Profiling

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