Details

Time bar (total: 10.5s)

sample299.0ms

Algorithm
intervals
Results
26.0ms256×body80valid
7.0ms256×pre80true

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (/ 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))

rewrite40.0ms

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
5×cbrt-unprod
4×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u add-log-exp unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv associate-*l/ fma-udef div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(fma (* (/ 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)
27.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
447.0ms
(fma (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2)) 0.5)
260.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
680.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify52.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456686
11839619
25001619

prune321.0ms

Filtered
104 candidates to 77 candidates (74.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New968104
Fresh000
Picked101
Done000
Total978105

Merged error: 0.0b

Counts
105 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×times-frac
12×pow1
11×add-cbrt-cube
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×expm1-log1p-u div-exp pow-prod-down pow-exp log1p-expm1-u add-log-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv frac-2neg associate-*l* clear-num *-commutative fma-udef div-inv
Counts
4 → 89
Calls
4 calls:
1.0ms
(fma (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)) 0.5)
4.0ms
(pow (* -2.0 (log u1)) 0.5)
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
449.0ms
(fma (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)) 0.5)
257.0ms
(pow (* -2.0 (log u1)) 0.5)
30.0ms
(* (* 2.0 PI) u2)
678.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0387666
11508612
25001612

prune297.0ms

Filtered
101 candidates to 78 candidates (77.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1010101
Fresh077
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 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)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
0.3b
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-sqr-sqrt
33×associate-*l*
30×sqrt-prod
23×add-cube-cbrt *-un-lft-identity
20×times-frac
19×prod-exp
16×add-cbrt-cube
14×pow1
9×associate-*r*
7×cbrt-unprod
6×pow-exp unswap-sqr
5×sqrt-div pow-prod-down sqr-pow
4×expm1-log1p-u associate-*l/ log1p-expm1-u add-log-exp
3×pow-to-exp pow-unpow *-commutative
2×unpow-prod-down pow-pow div-inv
1×frac-times associate-*r/
Counts
4 → 120
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
12.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
13.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
5.0ms
(* (* 2.0 PI) u2)

series1.7s

Counts
4 → 12
Calls
4 calls:
257.0ms
(pow (* -2.0 (log u1)) 0.5)
723.0ms
(* (sqrt (/ 1.0 6.0)) (* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5)))
705.0ms
(* (sqrt (/ 1.0 6.0)) (pow (* -2.0 (log u1)) 0.5))
32.0ms
(* (* 2.0 PI) u2)

simplify55.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0455972
11801875
25001871

prune426.0ms

Filtered
132 candidates to 97 candidates (73.5%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh156
Picked011
Done011
Total1328140

Merged error: 0b

Counts
140 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×prod-exp
22×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
11×pow1 times-frac
9×rem-log-exp
8×div-exp associate-*r* pow-exp
5×cbrt-unprod
4×expm1-log1p-u pow-to-exp exp-prod log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down associate-*l/ sqr-pow
2×log-div log-prod log-pow *-commutative
1×cbrt-undiv unpow-prod-down exp-diff exp-sum div-inv rem-exp-log
Counts
4 → 100
Calls
4 calls:
5.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series2.3s

Counts
4 → 12
Calls
4 calls:
827.0ms
(log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)))
38.0ms
(* (* 2.0 PI) u2)
697.0ms
(exp (log (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))))
696.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify47.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0404675
11608609
25002608

prune328.0ms

Filtered
112 candidates to 78 candidates (69.6%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1120112
Fresh055
Picked011
Done022
Total1128120

Merged error: 0b

Counts
120 → 8

regimes400.0ms

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
0219
1219

end0.0ms

sample1.1s

Algorithm
intervals
Results
767.0ms8000×body80valid
186.0ms8000×pre80true