Details

Time bar (total: 12.7s)

sample286.0ms

Algorithm
intervals
Results
21.0ms256×body80valid
5.0ms256×pre80true

simplify63.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500110

prune5.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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))

rewrite49.0ms

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:
25.0ms
(+ (* (* (/ 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)
11.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.5s

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)
267.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
697.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify60.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0507728
12155656
25001656

prune324.0ms

Filtered
99 candidates to 71 candidates (71.7%)
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)
0.2b
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
0.2b
(* (* 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:
467.0ms
(+ (* (/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0) (cos (* (* 2.0 PI) u2))) 0.5)
268.0ms
(pow (* -2.0 (log u1)) 0.5)
694.0ms
(/ (* 1.0 (pow (* -2.0 (log u1)) 0.5)) 6.0)
33.0ms
(* (* 2.0 PI) u2)

simplify53.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0456597
12028527
25002525

prune265.0ms

Filtered
82 candidates to 58 candidates (70.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
163×add-exp-log
150×prod-exp
118×pow-exp
58×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
5×pow-prod-down
4×associate-*l* cbrt-unprod
3×pow-unpow sqr-pow
2×unpow-prod-down pow-pow *-commutative unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 127
Calls
4 calls:
8.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
11.0ms
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
5.0ms
(* (* 2.0 PI) u2)
10.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

series2.8s

Counts
4 → 12
Calls
4 calls:
604.0ms
(+ (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
1.2s
(pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)
31.0ms
(* (* 2.0 PI) u2)
955.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))

simplify66.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
05871462
121561365
250021365

prune360.0ms

Filtered
139 candidates to 59 candidates (42.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* u2 PI)
0.3b
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
0.4b
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
0.5b
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
323×add-exp-log
304×prod-exp
177×pow-exp
87×pow-to-exp
23×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
11×associate-*l*
9×times-frac associate-*r*
6×pow1
5×cbrt-unprod unswap-sqr
4×add-log-exp sqr-pow
3×associate-/r* *-commutative associate-/l*
2×unpow-prod-down associate-/r/ associate-/l/
1×cbrt-undiv neg-sub0 associate-+l- flip3-- frac-2neg flip3-+ div-sub div-exp pow-prod-down clear-num flip-- flip-+ div-inv
Counts
4 → 186
Calls
4 calls:
4.0ms
(* u2 PI)
10.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
13.0ms
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
28.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

series2.9s

Counts
4 → 12
Calls
4 calls:
27.0ms
(* u2 PI)
971.0ms
(* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5))
985.0ms
(* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666))
914.0ms
(/ (+ (- (* 0.5 0.5)) (* (* (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) (* 2 0.5)) (* 0.16666666666666666 0.16666666666666666)) (* (cos (* 2.0 (* u2 PI))) (cos (* 2.0 (* u2 PI)))))) (- (* (* 0.16666666666666666 (pow (* (pow -1 1.0) (* (pow -2.0 1.0) (pow (log (/ 1 u1)) 1.0))) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5))

simplify120.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
08733648
135093313
250023298

prune779.0ms

Filtered
198 candidates to 81 candidates (40.9%)
Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes515.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample914.0ms

Algorithm
intervals
Results
635.0ms8000×body80valid
129.0ms8000×pre80true