Details

Time bar (total: 4.9s)

analyze317.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%6.2%93.8%0
0%6.2%93.8%1
0%6.2%93.8%2
0%6.2%93.8%3
3.1%3.1%93.8%4
3.1%3.1%93.8%5
4.7%1.6%93.8%6
4.7%1.6%93.8%7
5.5%0.8%93.8%8
5.5%0.8%93.8%9
5.8%0.4%93.8%10
5.8%0.4%93.8%11
6%0.2%93.8%12
6%0.2%93.8%13
6.1%0.1%93.8%14

sample49.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
7.0ms256×pre80true

simplify494.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
0502519

prune15.0ms

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: 0.4b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* prod-exp add-cbrt-cube
12×pow1
11×times-frac
8×associate-*r*
6×pow-exp add-log-exp
5×cbrt-unprod
4×div-exp pow-prod-down unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
10.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
29.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series227.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
35.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* (* 2.0 PI) u2)
109.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049361174
149361174

prune218.0ms

Filtered
66 candidates to 99 candidates (-50.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh101
Picked101
Done000
Total938101

Merged error: 0.0b

Counts
101 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
0.3b
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))
0.3b
(* (* 2.0 PI) u2)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
22×associate-*l*
20×times-frac associate-*r*
19×prod-exp
16×add-cbrt-cube
14×pow1
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×associate-*r/ add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*l/
Counts
4 → 112
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
12.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
11.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))
5.0ms
(* (* 2.0 PI) u2)

series245.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(pow (* -2.0 (log u1)) 0.5)
103.0ms
(* (sqrt (/ 1.0 6.0)) (* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0))))
102.0ms
(* (pow (* -2.0 (log u1)) 0.5) (sqrt (/ 1.0 6.0)))
3.0ms
(* (* 2.0 PI) u2)

simplify59.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050151395

prune305.0ms

Filtered
82 candidates to 124 candidates (-51.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1222124
Fresh167
Picked011
Done000
Total1239132

Merged error: 0b

Counts
132 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
0.3b
(log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(exp (log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×pow1 times-frac
11×add-cbrt-cube
10×prod-exp
8×div-exp
6×rem-log-exp
5×exp-prod pow-prod-down associate-/l*
4×unpow-prod-down pow-exp log-pow add-log-exp sqr-pow
3×associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp log-div log-prod associate-*r/
1×cbrt-undiv frac-2neg exp-diff associate-*l* exp-sum clear-num *-commutative div-inv rem-exp-log
Counts
4 → 88
Calls
4 calls:
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
5.0ms
(log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(exp (log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))))

series320.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
121.0ms
(log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
3.0ms
(* (* 2.0 PI) u2)
98.0ms
(exp (log (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))))

simplify50.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049481015
149481015

prune226.0ms

Filtered
66 candidates to 100 candidates (-51.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh167
Picked011
Done011
Total1009109

Merged error: 0b

Counts
109 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(pow (* 2.0 (* PI u2)) 3)
0.3b
(* PI u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
40.1b
(cbrt (pow (* 2.0 (* PI u2)) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
26×add-sqr-sqrt
17×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity associate-*l*
14×prod-exp
12×pow1
11×times-frac
8×cbrt-prod associate-*r*
7×pow-exp
6×cbrt-unprod
5×unswap-sqr sqr-pow
4×div-exp pow-prod-down add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow pow-pow rem-cube-cbrt
2×cube-mult unpow3 cube-prod *-commutative
1×cbrt-undiv pow1/3 associate-*l/ rem-cbrt-cube div-inv
Counts
4 → 101
Calls
4 calls:
5.0ms
(pow (* 2.0 (* PI u2)) 3)
3.0ms
(* PI u2)
7.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(cbrt (pow (* 2.0 (* PI u2)) 3))

series111.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(pow (* 2.0 (* PI u2)) 3)
2.0ms
(* PI u2)
98.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
4.0ms
(cbrt (pow (* 2.0 (* PI u2)) 3))

simplify42.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04962965
14962965

prune203.0ms

Filtered
73 candidates to 113 candidates (-54.8%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done022
Total1139122

Merged error: 0b

Counts
122 → 9

regimes626.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07325
17325

end0.0ms

sample1.2s

Algorithm
intervals
Results
801.0ms8000×body80valid
190.0ms8000×pre80true

Profiling

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