Details

Time bar (total: 12.5s)

sample300.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
5.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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

rewrite56.0ms

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×expm1-log1p-u div-exp pow-prod-down log1p-expm1-u unswap-sqr sqr-pow
3×pow-to-exp pow-unpow
2×unpow-prod-down pow-pow *-commutative
1×cbrt-undiv +-commutative fma-def flip3-+ associate-*l/ sum-log flip-+ div-inv
Counts
4 → 96
Calls
4 calls:
30.0ms
(+ (* (* (/ 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)
6.0ms
(* (* 2.0 PI) u2)
13.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
462.0ms
(+ (* (* (/ 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)
682.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify62.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0523772
12229700
25001697

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 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
(* (* 2.0 PI) u2)
0.2b
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

rewrite33.0ms

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×expm1-log1p-u div-exp pow-prod-down pow-exp log1p-expm1-u
3×pow-unpow associate-*r* associate-/r* cbrt-unprod
2×pow-to-exp pow-pow
1×cbrt-undiv +-commutative fma-def frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv
Counts
4 → 93
Calls
4 calls:
18.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms
(pow (* -2.0 (log u1)) 0.5)
7.0ms
(* (* 2.0 PI) u2)
4.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

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)
259.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
683.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify56.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0456752
11915695
25001695

prune351.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.2b
(* (* 2.0 PI) u2)
0.3b
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0)
0.3b
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
76×add-exp-log
43×add-sqr-sqrt times-frac
34×prod-exp
32×add-cube-cbrt *-un-lft-identity
22×associate-*r* pow-exp
20×div-exp
16×add-cbrt-cube
14×sqr-pow
13×pow-unpow
12×pow1
11×pow-to-exp
9×unpow-prod-down
6×associate-*l* unswap-sqr
5×cbrt-unprod associate-/l*
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
3×associate-/r* div-inv
2×cbrt-undiv pow-pow *-commutative
1×frac-2neg associate-*r/ clear-num
Counts
4 → 152
Calls
4 calls:
3.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
6.0ms
(* (* 2.0 PI) u2)
3.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0)
13.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0))

series1.7s

Counts
4 → 12
Calls
4 calls:
261.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
37.0ms
(* (* 2.0 PI) u2)
688.0ms
(/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0)
694.0ms
(* (pow (* -2.0 (log u1)) (/ 0.5 2)) (/ (pow (* -2.0 (log u1)) (/ 0.5 2)) 6.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05901459
123271221
250011200

prune526.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))))))
0.3b
(/ (+ (pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3) (pow 0.5 3)) (fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)))))))
0.6b
(* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
0.7b
(pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3)

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
208×add-exp-log
120×prod-exp
53×div-exp
52×add-cbrt-cube
49×pow1
33×pow-exp
26×cbrt-unprod
23×*-un-lft-identity
20×pow-prod-down
15×add-sqr-sqrt add-cube-cbrt times-frac
14×pow-to-exp
8×cbrt-undiv
6×associate-*r/
5×associate-/l*
4×expm1-log1p-u pow-sqr sum-cubes pow-prod-up log1p-expm1-u distribute-lft-out add-log-exp rem-cube-cbrt
3×pow-unpow pow-pow associate-/r*
2×pow-plus associate-*l/ associate-/l/
1×cube-div pow2 cube-mult frac-times unpow-prod-down frac-2neg flip3-+ unpow3 cube-prod swap-sqr associate-*r* associate-*l* clear-num *-commutative flip-+ fma-udef div-inv sqr-pow
Counts
4 → 158
Calls
4 calls:
0.0ms
(fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))))))
36.0ms
(/ (+ (pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3) (pow 0.5 3)) (fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)))))))
24.0ms
(* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
23.0ms
(pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3)

series3.6s

Counts
4 → 12
Calls
4 calls:
848.0ms
(fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))))))
1.5s
(/ (+ (pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3) (pow 0.5 3)) (fma (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0))) (* (cos (* (* 2.0 PI) u2)) (cos (* (* 2.0 PI) u2))) (* 0.5 (- 0.5 (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2)))))))
722.0ms
(* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))
519.0ms
(pow (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 3)

simplify131.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09494404
140433760
250023758

prune581.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes443.0ms

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
02410
12410

end0.0ms

sample1.1s

Algorithm
intervals
Results
800.0ms8000×body80valid
130.0ms8000×pre80true