Details

Time bar (total: 5.8s)

sample105.0ms

Algorithm
intervals
Results
53.0ms896×body80nan
17.0ms291×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219210
343710
481610
5157810
6276410
7500210

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

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)))))
0.2b
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
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:
12.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
13.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
7.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series50.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
9.0ms
(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
20.0ms
(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
6.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify100.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010081422
146191341
250011341

prune348.0ms

Filtered
105 candidates to 126 candidates (-20.0%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1206126
Fresh000
Picked101
Done000
Total1216127

Merged error: 0.0b

Counts
127 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 9.0 (- 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))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×*-un-lft-identity
13×add-exp-log add-cbrt-cube
11×pow1
10×add-cube-cbrt associate-*r*
9×associate-*l*
8×associate-*r/
6×flip3-- times-frac flip--
4×frac-times sqrt-div associate-/r* add-log-exp difference-of-squares
3×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp sqrt-prod cbrt-unprod flip-+
2×cbrt-undiv sub-neg sqrt-pow1 div-exp associate-*l/ associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×frac-2neg pow1/2 clear-num div-inv distribute-lft-out associate-/l*
Counts
4 → 97
Calls
4 calls:
11.0ms
(* 9.0 (- 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))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* 9.0 (- a (/ 1.0 3.0)))
23.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))
30.0ms
(/ (* 1.0 rand) (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
10.0ms
(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify91.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
08701101
142631027
250011027

prune242.0ms

Filtered
83 candidates to 109 candidates (-31.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh145
Picked011
Done000
Total1087115

Merged error: 0.0b

Counts
115 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
0.3b
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
82×times-frac
70×*-un-lft-identity
61×associate-*l*
54×add-cube-cbrt
52×add-exp-log sqrt-prod
34×add-cbrt-cube
23×prod-exp
16×difference-of-squares
13×pow1 cbrt-unprod
12×div-exp
9×associate-/r*
8×distribute-lft-out--
7×cbrt-undiv associate-*r*
6×associate-*l/
5×frac-times flip3-- pow-prod-down flip--
4×sqrt-div associate-/r/ add-log-exp unswap-sqr
3×rec-exp flip3-+ 1-exp associate-*r/ *-commutative flip-+ div-inv associate-/l*
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 191
Calls
4 calls:
10.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
18.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
10.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
18.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series67.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))))
21.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
6.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
23.0ms
(* (/ 1 (sqrt 9.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify50.0ms

Algorithm
egg-herbie
Counts
203 → 203
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012592249
150012036

prune531.0ms

Filtered
144 candidates to 203 candidates (-41.0%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2021203
Fresh055
Picked011
Done011
Total2028210

Merged error: 0b

Counts
210 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
0.3b
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
0.3b
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
8.3b
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
70×times-frac
60×*-un-lft-identity
49×sqrt-prod
44×add-cube-cbrt
39×associate-*l*
34×add-exp-log add-cbrt-cube
16×difference-of-squares
15×associate-/r*
12×prod-exp cbrt-unprod
11×pow1 associate-*l/
8×cbrt-undiv div-exp distribute-lft-out--
6×flip3-- flip--
5×associate-/l/
4×frac-times sqrt-div associate-*r* pow-prod-down associate-/r/ associate-/l* add-log-exp
3×div-inv unswap-sqr
2×frac-2neg associate-*r/ clear-num *-commutative
Counts
4 → 170
Calls
4 calls:
14.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
22.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
9.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
18.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

series64.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)
25.0ms
(/ (* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand)) (sqrt 9.0))
6.0ms
(/ 1.0 (sqrt (- a (/ 1.0 3.0))))
15.0ms
(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (- a (/ 1.0 3.0)))) rand))

simplify107.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010661924
147171720
250021720

prune448.0ms

Filtered
134 candidates to 182 candidates (-35.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1811182
Fresh145
Picked011
Done112
Total1837190

Merged error: 0b

Counts
190 → 7

regimes174.0ms

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
01710
11710

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s27435×body80nan
538.0ms9090×body80valid

Profiling

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