Details

Time bar (total: 10.8s)

sample288.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
5.0ms256×pre80true

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize21.0ms

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))

rewrite33.0ms

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)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.6s

Counts
4 → 12
Calls
4 calls:
488.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
284.0ms
(pow (* -2.0 (log u1)) 0.5)
34.0ms
(* (* 2.0 PI) u2)
758.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0507728
12155656
25001656

prune347.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
14×add-cbrt-cube
12×pow1
9×prod-exp
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
5×div-exp
4×pow-prod-down pow-exp cbrt-unprod
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 70
Calls
4 calls:
8.0ms
(+ (* (/ (* 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)
9.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
5.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
486.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
284.0ms
(pow (* -2.0 (log u1)) 0.5)
736.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
34.0ms
(* (* 2.0 PI) u2)

simplify54.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0456597
12028527
25002525

prune273.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
72×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
34×add-exp-log
24×associate-/r*
17×unpow-prod-down sqr-pow
16×add-cbrt-cube
13×div-exp
12×pow1
6×pow-exp prod-exp div-inv associate-/l*
4×cbrt-undiv pow-prod-down add-log-exp
3×pow-to-exp pow-unpow associate-*r* cbrt-unprod
2×pow-pow frac-2neg clear-num
1×associate-*l* associate-/r/ *-commutative
Counts
4 → 170
Calls
4 calls:
4.0ms
(pow (* -2.0 (log u1)) 0.5)
4.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

series1.8s

Counts
4 → 12
Calls
4 calls:
273.0ms
(pow (* -2.0 (log u1)) 0.5)
795.0ms
(/ 6.0 (pow (* -2.0 (log u1)) 0.5))
40.0ms
(* (* 2.0 PI) u2)
732.0ms
(/ 1.0 (/ 6.0 (pow (* -2.0 (log u1)) 0.5)))

simplify77.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06871562
130261488
250021488

prune654.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
0.1b
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
0.2b
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
0.3b
(* (* 2.0 PI) u2)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
33×prod-exp
32×pow-exp
14×pow-to-exp
11×add-sqr-sqrt add-cbrt-cube
10×pow1
8×add-cube-cbrt *-un-lft-identity associate-*r*
6×add-log-exp
4×associate-*l* pow-prod-down cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 85
Calls
4 calls:
8.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
7.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
5.0ms
(* (* 2.0 PI) u2)

series2.2s

Counts
4 → 12
Calls
4 calls:
491.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
938.0ms
(pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5)
741.0ms
(* 0.16666666666666666 (pow (* (pow (log u1) 1.0) (pow -2.0 1.0)) 0.5))
39.0ms
(* (* 2.0 PI) u2)

simplify56.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0509816
11966743
25002743

prune297.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes301.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02511
12511

end0.0ms

sample990.0ms

Algorithm
intervals
Results
715.0ms8000×body80valid
125.0ms8000×pre80true