Details

Time bar (total: 5.9s)

sample89.0ms

Algorithm
intervals
Results
43.0ms840×body80nan
16.0ms300×body80valid

simplify295.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (294.0ms)

IterNodesCost
0507320

prune9.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.4b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
23×*-un-lft-identity
17×add-cube-cbrt
14×times-frac
12×associate-*l*
11×pow1
10×add-exp-log add-cbrt-cube
8×associate-*l/
7×associate-*r*
6×flip3-- flip--
5×sqrt-prod
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×flip3-+ pow-prod-down flip-+ associate-/l*
2×sqrt-pow1 associate-*r/ prod-exp associate-/r/ *-commutative cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in pow1/2 div-exp clear-num div-inv distribute-lft-out
Counts
4 → 101
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) 9.0)
21.0ms
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
9.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series38.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a (/ 1.0 3.0)) 9.0)
13.0ms
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
15.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
6.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (22.0ms)

IterNodesCost
056511905

prune263.0ms

Filtered
92 candidates to 113 candidates (-22.8%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1067113
Fresh101
Picked101
Done000
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.4b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
6.0b
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
24×add-cube-cbrt
21×associate-*r*
13×add-exp-log add-cbrt-cube
12×associate-*l*
11×pow1
10×associate-*l/
8×sqrt-prod
6×flip3-- sqrt-div flip--
4×associate-/r* associate-/r/ add-log-exp difference-of-squares
3×pow-prod-down prod-exp cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv frac-times sqrt-pow1 div-exp *-commutative div-inv distribute-lft-out--
1×frac-2neg pow1/2 associate-*r/ clear-num
Counts
4 → 113
Calls
4 calls:
9.0ms
(* (- a (/ 1.0 3.0)) 9.0)
9.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
7.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
21.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a (/ 1.0 3.0)) 9.0)
15.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
6.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
16.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

simplify56.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049902037
149902037

prune268.0ms

Filtered
101 candidates to 125 candidates (-23.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1223125
Fresh336
Picked011
Done000
Total1257132

Merged error: 0b

Counts
132 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.1b
(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
0.2b
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
0.2b
(/ rand (sqrt (- a (/ 1.0 3.0))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
441×times-frac
343×add-sqr-sqrt
261×*-un-lft-identity
258×sqrt-prod
205×add-cube-cbrt
54×difference-of-squares
36×associate-/l*
27×distribute-lft-out--
18×sqrt-div
16×associate-/r/
15×associate-/r*
13×add-exp-log add-cbrt-cube
12×flip3-- flip--
9×div-inv
7×pow1
6×associate-*l*
4×cbrt-undiv frac-times div-exp associate-*r* add-log-exp
3×flip3-+ flip-+
2×frac-2neg associate-*r/ associate-*l/ clear-num
1×distribute-rgt-in rem-sqrt-square distribute-lft-in sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod associate-/l/ distribute-lft-out unswap-sqr
Counts
4 → 355
Calls
4 calls:
6.0ms
(sqrt (- a (/ 1.0 3.0)))
70.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
19.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
9.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- a (/ 1.0 3.0)))
15.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
19.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))
12.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))

simplify86.0ms

Algorithm
egg-herbie
Counts
367 → 367
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
059547942

prune994.0ms

Filtered
219 candidates to 367 candidates (-67.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3661367
Fresh145
Picked101
Done011
Total3686374

Merged error: 0b

Counts
374 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
72×times-frac
65×*-un-lft-identity
50×sqrt-prod
45×add-cube-cbrt
37×associate-*r*
34×add-exp-log
22×add-cbrt-cube
16×difference-of-squares
15×associate-/r*
11×div-exp
10×pow1
9×associate-*l* prod-exp
8×distribute-lft-out--
6×cbrt-undiv unswap-sqr
5×flip3-- flip-- cbrt-unprod
4×frac-times sqrt-div associate-*r/ associate-/r/ associate-/l* add-log-exp
3×rec-exp pow-flip flip3-+ 1-exp flip-+ div-inv
2×frac-2neg pow-prod-down associate-*l/ clear-num un-div-inv *-commutative associate-/l/
1×distribute-rgt-in distribute-lft-in sqrt-pow1 pow1/2 distribute-lft-out inv-pow
Counts
4 → 182
Calls
4 calls:
22.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0)) 1))
14.0ms
(/ (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0))
15.0ms
(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
13.0ms
(/ 1 (sqrt (- a (/ 1.0 3.0))))

series51.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0)) 1))
18.0ms
(/ (* rand (/ 1 (sqrt (- a (/ 1.0 3.0))))) (sqrt 9.0))
11.0ms
(* rand (/ 1 (sqrt (- a (/ 1.0 3.0)))))
8.0ms
(/ 1 (sqrt (- a (/ 1.0 3.0))))

simplify44.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
057203014

prune337.0ms

Filtered
122 candidates to 194 candidates (-59.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh044
Picked011
Done011
Total1946200

Merged error: 0b

Counts
200 → 6

regimes172.0ms

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
01724
11724

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.4s26694×body80nan
515.0ms9131×body80valid

Profiling

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