Details

Time bar (total: 11.6s)

sample289.0ms

Algorithm
intervals
Results
27.0ms256×body80valid
7.0ms256×pre80true

simplify68.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.4b

Counts
2 → 1

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

rewrite46.0ms

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:
9.0ms
(+ (* (* (/ 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)
19.0ms
(* (* 2.0 PI) u2)
10.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

series1.4s

Counts
4 → 12
Calls
4 calls:
451.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
257.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
694.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0507728
12155656
25001656

prune298.0ms

Filtered
99 candidates to 71 candidates (71.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New91899
Fresh000
Picked101
Done000
Total928100

Merged error: 0.0b

Counts
100 → 8

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

rewrite24.0ms

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:
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)
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

series1.4s

Counts
4 → 12
Calls
4 calls:
453.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
257.0ms
(pow (* -2.0 (log u1)) 0.5)
37.0ms
(* (* 2.0 PI) u2)
681.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0438710
11838655
25001655

prune286.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93396
Fresh257
Picked011
Done000
Total959104

Merged error: 0b

Counts
104 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
330×add-exp-log
219×prod-exp
118×pow1
90×add-cbrt-cube
66×pow-prod-down
65×div-exp
56×cbrt-unprod
42×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
32×pow-exp
16×pow-to-exp
14×associate-/l*
11×cbrt-undiv
9×associate-/r* pow-sqr pow-prod-up
8×unpow-prod-down sqr-pow
5×associate-*r/ associate-*l/
4×add-log-exp difference-of-squares
3×frac-2neg pow-plus clear-num div-inv
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow2 frac-times div-sub swap-sqr associate-*r* associate-*l* *-commutative
Counts
4 → 222
Calls
4 calls:
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
8.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
30.0ms
(/ (- (* (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (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))) 0.5))
21.0ms
(* (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))))

series2.6s

Counts
4 → 12
Calls
4 calls:
701.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
682.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
755.0ms
(/ (- (* (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (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))) 0.5))
457.0ms
(* (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))))

simplify127.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
09384142
141663212
250033145

prune561.0ms

Filtered
234 candidates to 117 candidates (50.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh077
Picked011
Done011
Total2349243

Merged error: 0b

Counts
243 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.6b
(cbrt (pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3))
0.7b
(pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
27×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
15×add-cbrt-cube
14×associate-*l*
13×prod-exp
12×cbrt-prod
11×times-frac
10×pow1
8×associate-*r*
7×unpow-prod-down
6×cube-prod
5×pow-exp cbrt-unprod sqr-pow
4×cube-div div-exp add-log-exp unswap-sqr
3×pow-to-exp pow-unpow pow-prod-down
2×cube-mult cbrt-div flip3-+ unpow3 *-commutative flip-+
1×cbrt-undiv pow-pow pow1/3 associate-*l/ rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 107
Calls
4 calls:
5.0ms
(* (* 2.0 PI) u2)
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
9.0ms
(cbrt (pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3))
10.0ms
(pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3)

series1.9s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (* 2.0 PI) u2)
722.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
472.0ms
(cbrt (pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3))
624.0ms
(pow (+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5) 3)

simplify84.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06771433
129231315
250011306

prune344.0ms

Filtered
119 candidates to 77 candidates (64.7%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done022
Total1199128

Merged error: 0b

Counts
128 → 9

regimes595.0ms

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

sample1.3s

Algorithm
intervals
Results
907.0ms8000×body80valid
188.0ms8000×pre80true