Details

Time bar (total: 5.8s)

sample108.0ms

Algorithm
intervals
Results
54.0ms896×body80nan
18.0ms302×body80valid

simplify267.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (265.0ms)

IterNodesCost
0507320

prune10.0ms

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

localize11.0ms

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

rewrite62.0ms

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:
13.0ms
(* (- a (/ 1.0 3.0)) 9.0)
26.0ms
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
8.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
11.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a (/ 1.0 3.0)) 9.0)
14.0ms
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
6.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
17.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))

simplify30.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
055691902

prune272.0ms

Filtered
90 candidates to 113 candidates (-25.6%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1085113
Fresh101
Picked101
Done000
Total1105115

Merged error: 0.0b

Counts
115 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- a (/ 1.0 3.0)) 9.0)
0.1b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
0.2b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
9.2b
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite60.0ms

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:
11.0ms
(* (- a (/ 1.0 3.0)) 9.0)
11.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
11.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
22.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- a (/ 1.0 3.0)) 9.0)
6.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
16.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
17.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

simplify30.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
050932030

prune293.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh224
Picked011
Done000
Total1264130

Merged error: 0.0b

Counts
130 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- a (/ 1.0 3.0)))
0.0b
(+ (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
0.3b
(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
0.5b
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
260×add-sqr-sqrt
171×times-frac
130×*-un-lft-identity
99×sqrt-prod
66×difference-of-squares
64×add-cube-cbrt
60×associate-*l*
33×distribute-lft-out--
22×associate-*r*
18×add-exp-log add-cbrt-cube
10×pow1
9×associate-/r* add-log-exp unswap-sqr
7×flip3-- flip--
6×sqrt-div frac-add associate-/l*
5×cbrt-undiv div-exp
4×prod-exp associate-/r/ cbrt-unprod
3×frac-times associate-*r/ associate-*l/ div-inv
2×associate-+r+ sqrt-pow1 pow1/2 sum-log associate-/l/ pow-div
1×+-commutative associate-+r- sub-neg rem-sqrt-square frac-2neg flip3-+ diff-log div-sub pow-prod-down clear-num *-commutative flip-+
Counts
4 → 238
Calls
4 calls:
7.0ms
(sqrt (- a (/ 1.0 3.0)))
29.0ms
(+ (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
45.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
18.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- a (/ 1.0 3.0)))
20.0ms
(+ (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
20.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
5.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

simplify58.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
056324742

prune628.0ms

Filtered
170 candidates to 250 candidates (-47.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2482250
Fresh202
Picked011
Done011
Total2504254

Merged error: 0b

Counts
254 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
26×*-un-lft-identity sqrt-prod
25×times-frac
22×associate-*r*
20×add-cube-cbrt
14×sqrt-div
13×flip3-- flip--
11×add-log-exp
10×frac-add
9×add-exp-log associate-*l* add-cbrt-cube
7×pow1
6×frac-times associate-*l/ difference-of-squares unswap-sqr
3×associate-*r/ distribute-lft-out--
2×sub-neg associate-+r+ diff-log prod-exp sum-log cbrt-unprod
1×cbrt-undiv +-commutative associate-+r- rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out
Counts
4 → 114
Calls
4 calls:
7.0ms
(- a (/ 1.0 3.0))
7.0ms
(sqrt (- a (/ 1.0 3.0)))
20.0ms
(+ (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
21.0ms
(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

series41.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(- a (/ 1.0 3.0))
4.0ms
(sqrt (- a (/ 1.0 3.0)))
14.0ms
(+ (* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
20.0ms
(* (sqrt (- a (/ 1.0 3.0))) (/ rand (sqrt 9.0)))

simplify36.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
053872387

prune269.0ms

Filtered
93 candidates to 126 candidates (-35.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done022
Total1264130

Merged error: 0b

Counts
130 → 4

regimes123.0ms

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
01619
11619

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.5s26832×body80nan
562.0ms9184×body80valid

Profiling

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