Details

Time bar (total: 5.7s)

sample89.0ms

Algorithm
intervals
Results
41.0ms867×body80nan
15.0ms291×body80valid

simplify146.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (145.0ms)

IterNodesCost
0490820
1490820

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

rewrite55.0ms

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:
9.0ms
(* (- a (/ 1.0 3.0)) 9.0)
25.0ms
(* (- a (/ 1.0 3.0)) (+ (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))) 1))
10.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
8.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* (- a (/ 1.0 3.0)) 9.0)
12.0ms
(* (- 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
057871905

prune248.0ms

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)
0.3b
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
0.3b
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
7.6b
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

rewrite53.0ms

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)
10.0ms
(/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0)))
8.0ms
(sqrt (* (- a (/ 1.0 3.0)) 9.0))
22.0ms
(* (- a (/ 1.0 3.0)) (/ rand (sqrt (* (- a (/ 1.0 3.0)) 9.0))))

series39.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
050152084

prune276.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1232125
Fresh426
Picked011
Done000
Total1275132

Merged error: 0b

Counts
132 → 5

localize13.0ms

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

rewrite134.0ms

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)))
73.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
9.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
18.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

series47.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (- a (/ 1.0 3.0)))
14.0ms
(* (- a (/ 1.0 3.0)) (+ (/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0)) 1))
11.0ms
(/ rand (sqrt (- a (/ 1.0 3.0))))
18.0ms
(/ (/ rand (sqrt (- a (/ 1.0 3.0)))) (sqrt 9.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
367 → 367
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049887942
149887942

prune817.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3661367
Fresh123
Picked011
Done101
Total3684372

Merged error: 0b

Counts
372 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite105.0ms

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:
29.0ms
(+ (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
6.0ms
(sqrt (- a (/ 1.0 3.0)))
37.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0)))
20.0ms
(/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0))))

series41.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (* (/ (- a (/ 1.0 3.0)) (sqrt (- a (/ 1.0 3.0)))) (/ rand (sqrt 9.0))) (- a (/ 1.0 3.0)))
4.0ms
(sqrt (- a (/ 1.0 3.0)))
17.0ms
(* (/ (- 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))))

simplify61.0ms

Algorithm
egg-herbie
Counts
250 → 250
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
057634740

prune579.0ms

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

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2491250
Fresh112
Picked011
Done011
Total2504254

Merged error: 0b

Counts
254 → 4

regimes125.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03319
13319

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.3s26697×body80nan
486.0ms9102×body80valid

Profiling

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