Details

Time bar (total: 10.9s)

sample281.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
4.0ms256×pre80true

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03410
17110
215410
346910
4181210
5500210

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))

rewrite32.0ms

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)
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:
456.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
266.0ms
(pow (* -2.0 (log u1)) 0.5)
31.0ms
(* (* 2.0 PI) u2)
711.0ms
(* (/ 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

prune328.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

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

rewrite25.0ms

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:
9.0ms
(+ (* (* 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:
456.0ms
(+ (* (* 1.0 (/ (pow (* -2.0 (log u1)) 0.5) 6.0)) (cos (* (* 2.0 PI) u2))) 0.5)
265.0ms
(pow (* -2.0 (log u1)) 0.5)
38.0ms
(* (* 2.0 PI) u2)
690.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0438710
11838655
25001655

prune321.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
38×log-prod
34×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
26×add-exp-log
19×exp-sum
11×pow1 add-cbrt-cube
10×unpow-prod-down sqr-pow
8×div-exp
5×rem-log-exp prod-exp associate-/l*
4×exp-prod pow-exp add-log-exp
3×associate-*r* pow-prod-down associate-/r* cbrt-unprod div-inv
2×pow-to-exp log-div log-pow
1×cbrt-undiv frac-2neg exp-diff associate-*l* clear-num *-commutative rem-exp-log
Counts
4 → 121
Calls
4 calls:
4.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
5.0ms
(* (* 2.0 PI) u2)
5.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
5.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))

series2.2s

Counts
4 → 12
Calls
4 calls:
809.0ms
(log (/ (pow (* -2.0 (log u1)) 0.5) 6.0))
31.0ms
(* (* 2.0 PI) u2)
684.0ms
(/ (pow (* -2.0 (log u1)) 0.5) 6.0)
694.0ms
(exp (log (/ (pow (* -2.0 (log u1)) 0.5) 6.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04241003
11447946
25001917

prune482.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) u2)
0.4b
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
0.5b
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
0.7b
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
50×add-exp-log
23×add-sqr-sqrt prod-exp
20×add-cbrt-cube
17×pow-exp
15×add-cube-cbrt *-un-lft-identity
14×associate-*l*
11×times-frac
10×pow1
8×cbrt-prod div-exp associate-*r*
7×cbrt-unprod
5×pow-to-exp sqr-pow
4×add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow pow-prod-down associate-*l/ rem-cube-cbrt
2×cbrt-undiv cube-div cube-mult unpow3 cube-prod *-commutative
1×cbrt-div pow-pow pow1/3 rem-cbrt-cube div-inv
Counts
4 → 107
Calls
4 calls:
9.0ms
(* (* 2.0 PI) u2)
8.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
3.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
8.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

series2.2s

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) u2)
715.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))
703.0ms
(cbrt (pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3))
785.0ms
(pow (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) 3)

simplify60.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0483781
12025740
25002738

prune391.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes332.0ms

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

sample932.0ms

Algorithm
intervals
Results
652.0ms8000×body80valid
127.0ms8000×pre80true