Details

Time bar (total: 11.3s)

sample303.0ms

Algorithm
intervals
Results
43.0ms256×body80valid
8.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0359
1749
21609
34839
418459
550019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (* (/ 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))

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:
19.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
2.0ms
(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))

series1.5s

Counts
4 → 12
Calls
4 calls:
470.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
262.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
706.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify64.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0523772
12229700
25001697

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (/ (* 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)

rewrite31.0ms

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×expm1-log1p-u pow-prod-down pow-exp cbrt-unprod log1p-expm1-u
3×pow-unpow times-frac associate-*r* associate-/r*
2×cbrt-undiv pow-to-exp pow-pow
1×+-commutative unpow-prod-down fma-def frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ div-inv associate-/l* sqr-pow
Counts
4 → 79
Calls
4 calls:
12.0ms
(+ (* (/ (* 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)
8.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
7.0ms
(* (* 2.0 PI) u2)

series1.5s

Counts
4 → 12
Calls
4 calls:
463.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
269.0ms
(pow (* -2.0 (log u1)) 0.5)
703.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
33.0ms
(* (* 2.0 PI) u2)

simplify55.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0472641
12101569
25002564

prune305.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))
0.1b
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
0.2b
(fma 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))) 0.5)
0.3b
(* u2 PI)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
160×add-exp-log
148×prod-exp
118×pow-exp
58×pow-to-exp
14×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×associate-*l* add-cbrt-cube
7×pow1
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-prod-down unswap-sqr sqr-pow
2×unpow-prod-down pow-pow *-commutative cbrt-unprod
1×fma-udef
Counts
4 → 132
Calls
4 calls:
16.0ms
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))
17.0ms
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
0.0ms
(fma 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))) 0.5)
3.0ms
(* u2 PI)

series2.4s

Counts
4 → 12
Calls
4 calls:
579.0ms
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI))))
1.2s
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
593.0ms
(fma 0.16666666666666666 (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5) (cos (* 2.0 (* u2 PI)))) 0.5)
20.0ms
(* u2 PI)

simplify58.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
05071589
114991504
250011504

prune379.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
14×add-cbrt-cube
11×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×prod-exp
6×log-prod
5×div-exp
4×expm1-log1p-u log-div exp-prod cbrt-unprod log1p-expm1-u add-log-exp
3×times-frac associate-*r* exp-sum pow-prod-down associate-/r*
2×cbrt-undiv flip3-+ exp-diff pow-exp log-pow flip-+
1×pow-to-exp frac-2neg rem-log-exp associate-*l* clear-num *-commutative div-inv rem-exp-log associate-/l*
Counts
4 → 81
Calls
4 calls:
4.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
16.0ms
(log (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5))
6.0ms
(* (* 2.0 PI) u2)
17.0ms
(exp (log (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)))

series1.8s

Counts
4 → 12
Calls
4 calls:
716.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
540.0ms
(log (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5))
32.0ms
(* (* 2.0 PI) u2)
465.0ms
(exp (log (+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)))

simplify53.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04671010
11888903
25001877

prune347.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes302.0ms

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

sample1.7s

Algorithm
intervals
Results
1.3s8000×body80valid
232.0ms8000×pre80true