Details

Time bar (total: 15.6s)

sample95.0ms

Algorithm
intervals
Results
37.0ms839×body80nan
18.0ms303×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune4.0ms

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: 0.1b

Counts
2 → 1

localize10.0ms

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))))

rewrite45.0ms

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)))
15.0ms
(* (/ 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))))

series889.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
336.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
247.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
129.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify107.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010081422
146171341
250011341

prune1.5s

Filtered
126 candidates to 105 candidates (16.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize12.0ms

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))))
9.3b
(* (- 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:
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)))))
9.0ms
(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))

series1.0s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
256.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
131.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))
294.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify92.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
09731341
142181216
250011216

prune1.7s

Filtered
123 candidates to 99 candidates (19.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1221123
Fresh156
Picked011
Done000
Total1237130

Merged error: 0b

Counts
130 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite60.0ms

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:
22.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (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)
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series964.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))
296.0ms
(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
300.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
132.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify96.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09351430
142821295
250011295

prune1.5s

Filtered
127 candidates to 101 candidates (20.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1261127
Fresh145
Picked011
Done011
Total1277134

Merged error: 0b

Counts
134 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
209×add-sqr-sqrt
158×times-frac
119×*-un-lft-identity
87×sqrt-prod
79×add-cube-cbrt
41×associate-*l*
40×difference-of-squares
38×add-exp-log add-cbrt-cube
36×associate-*r*
20×distribute-lft-out--
15×associate-/r*
13×prod-exp cbrt-unprod
11×pow1
10×cbrt-undiv div-exp
9×associate-/l* unswap-sqr
5×associate-*l/
4×sqrt-div pow-prod-down associate-/r/ div-inv add-log-exp
3×flip3-- flip--
2×frac-times frac-2neg associate-*r/ clear-num *-commutative associate-/l/
1×div-sub
Counts
4 → 245
Calls
4 calls:
12.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
9.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
21.0ms
(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
40.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

series887.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (- a (/ 1.0 3.0)) (sqrt 9.0))
157.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
338.0ms
(* (* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0))))) rand)
281.0ms
(* (/ (- a (/ 1.0 3.0)) (sqrt 9.0)) (/ 1.0 (sqrt (- a (/ 1.0 3.0)))))

simplify55.0ms

Algorithm
egg-herbie
Counts
257 → 257
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
011802938
150012714

prune3.6s

Filtered
257 candidates to 177 candidates (31.1%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2570257
Fresh044
Picked011
Done022
Total2577264

Merged error: 0b

Counts
264 → 7

regimes186.0ms

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
01913
11913

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.2s27544×body80nan
428.0ms9129×body80valid

Profiling

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