Details

Time bar (total: 4.1s)

sample50.0ms

Algorithm
intervals
Results
16.0ms293×body80valid
15.0ms301×body80nan

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune7.0ms

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: 0.2b

Counts
2 → 1

localize11.0ms

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))))

rewrite41.0ms

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))))

series50.0ms

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)))
21.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
6.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify99.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010081422
146171341
250011341

prune361.0ms

Filtered
126 candidates to 105 candidates (16.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1179126
Fresh000
Picked101
Done000
Total1189127

Merged error: 0.0b

Counts
127 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

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))))
7.8b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
24×associate-*l*
23×add-cube-cbrt
20×add-exp-log add-cbrt-cube
14×pow1
8×sqrt-prod
7×associate-*r/ prod-exp cbrt-unprod
6×sqrt-div associate-*l/
5×flip3-- pow-prod-down flip--
4×associate-*r* associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×frac-times sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 111
Calls
4 calls:
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))))
18.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series56.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
5.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
22.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify95.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09731339
142241216
250011216

prune319.0ms

Filtered
123 candidates to 99 candidates (19.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1212123
Fresh268
Picked101
Done000
Total1248132

Merged error: 0.0b

Counts
132 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- 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))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×*-un-lft-identity
11×add-exp-log add-cbrt-cube
9×pow1
8×add-cube-cbrt
6×flip3-- times-frac associate-*r/ associate-*l* flip-- add-log-exp
4×frac-times sqrt-div associate-*r* associate-/r* difference-of-squares
3×flip3-+ sqrt-prod flip-+
2×cbrt-undiv sqrt-pow1 div-exp pow-prod-down associate-*l/ prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
1×distribute-rgt-in sub-neg frac-2neg distribute-lft-in pow1/2 diff-log clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
6.0ms
(- 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:
2.0ms
(- 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)))))))
17.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
5.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify85.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08071043
13859978
25001978

prune216.0ms

Filtered
97 candidates to 77 candidates (20.6%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New95297
Fresh347
Picked101
Done000
Total996105

Merged error: 0.0b

Counts
105 → 6

localize12.0ms

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))))

rewrite68.0ms

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))))

series38.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(- a (/ 1.0 3.0))
2.0ms
(- 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))))

simplify122.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010502579
149182422
250012422

prune420.0ms

Filtered
202 candidates to 128 candidates (36.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New2020202
Fresh055
Picked011
Done000
Total2026208

Merged error: 0.0b

Counts
208 → 6

regimes221.0ms

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 (1.0ms)

IterNodesCost
01711
11711

end0.0ms

sample1.5s

Algorithm
intervals
Results
555.0ms9071×body80valid
508.0ms9032×body80nan

Profiling

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