Details

Time bar (total: 5.9s)

sample59.0ms

Algorithm
intervals
Results
25.0ms840×body80nan
9.0ms288×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune2.0ms

Filtered
1 candidates to 0 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 → 1

localize13.0ms

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)))))

rewrite44.0ms

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

series528.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
74.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
183.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
148.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify113.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08231338
136071238
250021238

prune387.0ms

Filtered
126 candidates to 105 candidates (83.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1179126
Fresh000
Picked101
Done000
Total1189127

Merged error: 0.0b

Counts
127 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

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)))))
8.8b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite54.0ms

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:
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
14.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
10.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
19.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series588.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
197.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
152.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
168.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify78.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07541232
130481085
250011085

prune312.0ms

Filtered
123 candidates to 99 candidates (80.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1212123
Fresh358
Picked011
Done000
Total1248132

Merged error: 0.0b

Counts
132 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
23×add-cube-cbrt
21×associate-*r*
20×add-exp-log add-cbrt-cube
14×pow1
9×associate-*l/
8×associate-*r/ sqrt-prod
7×flip3-- associate-*l* prod-exp flip-- cbrt-unprod
6×sqrt-div
5×pow-prod-down
4×frac-times associate-/r* associate-/r/ add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×sqrt-pow1 *-commutative div-inv difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num distribute-lft-out--
Counts
4 → 115
Calls
4 calls:
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)
20.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
13.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
167.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
134.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
150.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify78.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
07271336
132591177
250021177

prune331.0ms

Filtered
127 candidates to 101 candidates (79.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1261127
Fresh156
Picked101
Done101
Total1296135

Merged error: 0b

Counts
135 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- a (/ 1.0 3.0)))
0.1b
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-sqr-sqrt add-cbrt-cube
13×*-un-lft-identity associate-*l*
11×pow1 add-cube-cbrt
9×times-frac associate-*r*
8×associate-*r/
6×sqrt-div prod-exp cbrt-unprod
5×flip3-- flip--
4×cbrt-undiv div-exp associate-/r* sqrt-prod associate-/r/ add-log-exp
3×pow-prod-down associate-*l/
2×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 *-commutative div-inv associate-/l/ difference-of-squares unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/l* distribute-lft-out--
Counts
4 → 97
Calls
4 calls:
9.0ms
(* 9.0 (- a (/ 1.0 3.0)))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
19.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
17.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series430.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* 9.0 (- a (/ 1.0 3.0)))
78.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
171.0ms
(* (/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
137.0ms
(/ (* (- a (/ 1.0 3.0)) 1.0) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0660988
12895850
25001850

prune236.0ms

Filtered
109 candidates to 82 candidates (75.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh055
Picked011
Done000
Total1096115

Merged error: 0b

Counts
115 → 6

regimes81.0ms

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
01713
11713

end0.0ms

sample1.7s

Algorithm
intervals
Results
847.0ms27243×body80nan
304.0ms9176×body80valid

Profiling

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