Details

Time bar (total: 10.1s)

sample313.0ms

Algorithm
intervals
Results
47.0ms256×body80valid
9.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

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))

rewrite58.0ms

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:
21.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
23.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
460.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
256.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
670.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify62.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0507728
12155656
25001656

prune326.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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
6×add-log-exp
5×unpow-prod-down prod-exp associate-/l* sqr-pow
4×div-exp pow-prod-down pow-exp
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 84
Calls
4 calls:
19.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
3.0ms
(pow (* -2.0 (log u1)) 0.5)
4.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
7.0ms
(* (* 2.0 PI) u2)

series1.4s

Counts
4 → 12
Calls
4 calls:
449.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
262.0ms
(pow (* -2.0 (log u1)) 0.5)
690.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
38.0ms
(* (* 2.0 PI) u2)

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0438710
11838655
25001655

prune322.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
0.3b
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×add-exp-log
26×div-exp
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×pow1
10×pow-exp
8×prod-exp
6×div-inv associate-/l*
5×pow-to-exp rec-exp 1-exp
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×pow-flip associate-*l* associate-/r/ *-commutative inv-pow
Counts
4 → 182
Calls
4 calls:
3.0ms
(pow (* -2.0 (log u1)) 0.5)
8.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
3.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
7.0ms
(* (* 2.0 PI) u2)

series1.8s

Counts
4 → 12
Calls
4 calls:
266.0ms
(pow (* -2.0 (log u1)) 0.5)
691.0ms
(/ 1 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))
753.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
40.0ms
(* (* 2.0 PI) u2)

simplify70.0ms

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06551612
128781461
250011360

prune466.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 2.0 PI) u2)) (cbrt (* (* 2.0 PI) u2)))
0.7b
(cbrt (* (* 2.0 PI) u2))
0.7b
(cbrt (* (* 2.0 PI) u2))
0.7b
(cbrt (* (* 2.0 PI) u2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
8.0ms
(* (cbrt (* (* 2.0 PI) u2)) (cbrt (* (* 2.0 PI) u2)))
5.0ms
(cbrt (* (* 2.0 PI) u2))
6.0ms
(cbrt (* (* 2.0 PI) u2))
5.0ms
(cbrt (* (* 2.0 PI) u2))

series1.1s

Counts
4 → 12
Calls
4 calls:
349.0ms
(* (cbrt (* (* 2.0 PI) u2)) (cbrt (* (* 2.0 PI) u2)))
241.0ms
(cbrt (* (* 2.0 PI) u2))
247.0ms
(cbrt (* (* 2.0 PI) u2))
240.0ms
(cbrt (* (* 2.0 PI) u2))

simplify81.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0181434
1582379
22720331
35001324

prune277.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes320.0ms

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 (0.0ms)

IterNodesCost
03220
13220

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s8000×body80valid
258.0ms8000×pre80true