Details

Time bar (total: 4.4s)

sample259.0ms

Algorithm
intervals
Results
227.0ms256×body80valid
10.0ms256×pre80true

simplify507.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0487219
1487219

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

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.4b
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
25×add-sqr-sqrt
16×associate-*r*
15×add-cube-cbrt *-un-lft-identity
12×prod-exp
11×times-frac add-cbrt-cube
9×pow1
8×associate-*l*
6×pow-exp add-log-exp
5×unswap-sqr
4×div-exp sqr-pow
3×pow-to-exp pow-unpow cbrt-unprod
2×unpow-prod-down pow-pow pow-prod-down *-commutative
1×cbrt-undiv +-commutative flip3-+ associate-*r/ sum-log flip-+ div-inv
Counts
4 → 87
Calls
4 calls:
4.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
11.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

series205.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ 0.5 (* 1.0 (* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))))
34.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
90.0ms
(* (pow (* -2.0 (log u1)) 0.5) (/ (cos (* 2.0 (* PI u2))) 6.0))

simplify75.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049571396
149571396

prune208.0ms

Filtered
67 candidates to 99 candidates (-47.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh101
Picked101
Done000
Total929101

Merged error: 0b

Counts
101 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
11×add-sqr-sqrt add-cbrt-cube
9×pow1 add-cube-cbrt *-un-lft-identity
7×prod-exp
6×add-log-exp
5×div-exp
4×pow-exp
3×pow-unpow times-frac associate-*r* associate-*l* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow pow-prod-down cbrt-unprod
1×+-commutative unpow-prod-down frac-2neg flip3-+ clear-num sum-log *-commutative flip-+ div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 70
Calls
4 calls:
4.0ms
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
7.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

series173.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(+ 0.5 (* 1.0 (/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)))
34.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
68.0ms
(/ (* (cos (* 2.0 (* PI u2))) (pow (* -2.0 (log u1)) 0.5)) 6.0)

simplify47.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
049681043
149681043

prune150.0ms

Filtered
54 candidates to 82 candidates (-51.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh178
Picked011
Done000
Total82991

Merged error: 0b

Counts
91 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.2b
(* PI u2)
0.2b
(* PI u2)
0.4b
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (cos (* 2.0 (* PI u2))))) (/ (sqrt (cos (* 2.0 (* PI u2)))) 6.0))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log
28×associate-*r*
26×add-sqr-sqrt
23×prod-exp
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
18×times-frac
13×pow1
9×sqrt-prod
8×cbrt-unprod
7×associate-*l*
6×pow-exp
5×div-exp
4×pow-prod-down add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×cbrt-undiv pow-pow unswap-sqr
1×unpow-prod-down associate-*r/ div-inv sqr-pow
Counts
4 → 100
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
3.0ms
(* PI u2)
12.0ms
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (cos (* 2.0 (* PI u2))))) (/ (sqrt (cos (* 2.0 (* PI u2)))) 6.0))

series115.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
2.0ms
(* PI u2)
76.0ms
(* (* (pow (* -2.0 (log u1)) 0.5) (sqrt (cos (* 2.0 (* PI u2))))) (/ (sqrt (cos (* 2.0 (* PI u2)))) 6.0))

simplify55.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
052431302

prune205.0ms

Filtered
64 candidates to 112 candidates (-75.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1120112
Fresh077
Picked011
Done011
Total1129121

Merged error: 0b

Counts
121 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
75×add-sqr-sqrt
73×add-cube-cbrt *-un-lft-identity
31×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
13×div-exp add-cbrt-cube
9×pow1
6×pow-exp div-inv associate-/l*
4×cbrt-undiv prod-exp add-log-exp
3×pow-to-exp pow-unpow associate-*r* associate-*l*
2×pow-pow frac-2neg pow-prod-down clear-num
1×associate-/r/ *-commutative cbrt-unprod unswap-sqr
Counts
4 → 170
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
3.0ms
(* PI u2)
7.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
9.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (* -2.0 (log u1)) 0.5)
2.0ms
(* PI u2)
115.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
65.0ms
(/ (cos (* 2.0 (* PI u2))) (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify82.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049413391
149413391

prune408.0ms

Filtered
141 candidates to 182 candidates (-29.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1811182
Fresh156
Picked101
Done022
Total1838191

Merged error: 0b

Counts
191 → 8

regimes340.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02419
12419

end0.0ms

sample1.2s

Algorithm
intervals
Results
783.0ms8000×body80valid
178.0ms8000×pre80true

Profiling

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