Details

Time bar (total: 1.6m)

sample288.0ms

Algorithm
intervals
Results
22.0ms256×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize21.0ms

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
37×associate-*l*
32×add-exp-log
31×*-un-lft-identity associate-*r*
30×unpow-prod-down
25×add-cube-cbrt
16×pow1 unswap-sqr
14×prod-exp add-cbrt-cube
13×times-frac
9×associate-*l/
6×pow-exp add-log-exp
5×pow-prod-down *-commutative cbrt-unprod
4×div-exp sqr-pow
3×pow-to-exp pow-unpow associate-/r* distribute-lft-out associate-/l*
2×pow-pow log-pow
1×cbrt-undiv +-commutative frac-2neg flip3-+ clear-num sum-log flip-+ div-inv
Counts
4 → 140
Calls
4 calls:
40.0ms
(+ (* (* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5)) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
23.0ms
(* (* 2.0 PI) u2)
19.0ms
(* (/ 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)
253.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
688.0ms
(* (/ 1.0 6.0) (pow (* -2.0 (log u1)) 0.5))

simplify80.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06801047
13077976
25001976

prune496.0ms

Filtered
152 candidates to 109 candidates (71.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1439152
Fresh000
Picked101
Done000
Total1449153

Merged error: 0.0b

Counts
153 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ (* (/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0))) (cos (* (* 2.0 PI) u2))) 0.5)
0.2b
(pow (* -2.0 (log u1)) 0.5)
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0)))

rewrite469.0ms

Algorithm
rewrite-expression-head
Rules
1458×times-frac
1080×add-sqr-sqrt
661×*-un-lft-identity
657×add-cube-cbrt
497×sqrt-prod
493×associate-*r*
404×unpow-prod-down
258×unswap-sqr
226×associate-*l*
70×sqr-pow
49×*-commutative
45×add-exp-log
39×associate-/l*
38×div-inv
36×pow1
28×associate-/r*
24×log-pow
21×add-cbrt-cube
15×div-exp
14×prod-exp
12×associate-/r/
6×cbrt-undiv pow-exp add-log-exp
5×cbrt-unprod
4×pow-prod-down
3×pow-to-exp pow-unpow
2×pow-pow frac-2neg clear-num distribute-lft-out
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 959
Calls
4 calls:
322.0ms
(+ (* (/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0))) (cos (* (* 2.0 PI) u2))) 0.5)
6.0ms
(pow (* -2.0 (log u1)) 0.5)
12.0ms
(* (* 2.0 PI) u2)
38.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0)))

series1.6s

Counts
4 → 12
Calls
4 calls:
560.0ms
(+ (* (/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0))) (cos (* (* 2.0 PI) u2))) 0.5)
267.0ms
(pow (* -2.0 (log u1)) 0.5)
32.0ms
(* (* 2.0 PI) u2)
775.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) 0.5)) (/ 6.0 (sqrt 1.0)))

simplify201.0ms

Algorithm
egg-herbie
Counts
971 → 971
Iterations

Useful iterations: 1 (59.0ms)

IterNodesCost
0358616033
1500115659

prune2.5s

Filtered
971 candidates to 483 candidates (49.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New9683971
Fresh538
Picked011
Done000
Total9737980

Merged error: 0b

Counts
980 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* -2.0 (log u1)) (/ 0.5 2))
0.2b
(/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2)))
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2))))

rewrite2.8s

Algorithm
rewrite-expression-head
Rules
39493×times-frac
22997×add-sqr-sqrt
17350×unpow-prod-down
14490×add-cube-cbrt *-un-lft-identity
11321×associate-*r*
8491×sqrt-prod
5943×associate-*l*
5012×unswap-sqr
1976×sqr-pow
1599×*-commutative
1230×pow1
1218×log-pow
688×div-inv
424×associate-/r*
218×add-exp-log
117×div-exp
86×associate-/l*
61×prod-exp
54×associate-/r/
44×pow-exp
35×add-cbrt-cube
24×associate-/l/
22×pow-to-exp
15×cbrt-undiv
13×pow-unpow
6×cbrt-unprod
5×frac-2neg clear-num
4×pow-prod-down add-log-exp
2×pow-pow
Counts
4 → 14652
Calls
4 calls:
8.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
23.0ms
(/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2)))
23.0ms
(* (* 2.0 PI) u2)
349.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2))))

series1.9s

Counts
4 → 12
Calls
4 calls:
270.0ms
(pow (* -2.0 (log u1)) (/ 0.5 2))
860.0ms
(/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2)))
33.0ms
(* (* 2.0 PI) u2)
785.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (pow (* -2.0 (log u1)) (/ 0.5 2))))

simplify4.3s

Algorithm
egg-herbie
Counts
14664 → 14664
Iterations

Useful iterations: 0 (147.0ms)

IterNodesCost
013931450283

prune1.0m

Filtered
14664 candidates to 8916 candidates (60.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New14661314664
Fresh325
Picked011
Done011
Total14664714671

Merged error: 0b

Counts
14671 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
0.3b
(* (* 2.0 PI) u2)
0.3b
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))))
0.4b
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))

rewrite488.0ms

Algorithm
rewrite-expression-head
Rules
7126×times-frac
4193×add-sqr-sqrt
2904×*-un-lft-identity
2903×add-cube-cbrt
1547×sqrt-prod
1510×associate-*r*
1207×unpow-prod-down
787×unswap-sqr
659×associate-*l*
213×sqr-pow
156×div-inv
145×*-commutative
107×add-exp-log
89×associate-/r*
86×associate-/l*
83×pow1
73×log-pow
61×div-exp
40×associate-/r/
35×add-cbrt-cube
28×prod-exp
25×exp-prod
24×associate-/l/
15×cbrt-undiv
10×pow-exp
6×cbrt-unprod add-log-exp
5×pow-to-exp frac-2neg clear-num
4×pow-prod-down
2×exp-to-pow exp-sqrt associate-*r/
1×rem-exp-log
Counts
4 → 2894
Calls
4 calls:
26.0ms
(/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
7.0ms
(* (* 2.0 PI) u2)
101.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))))
11.0ms
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))

series2.0s

Counts
4 → 12
Calls
4 calls:
857.0ms
(/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2))))
31.0ms
(* (* 2.0 PI) u2)
783.0ms
(/ (* (sqrt 1.0) (pow (* -2.0 (log u1)) (/ 0.5 2))) (/ (/ 6.0 (sqrt 1.0)) (exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))))
292.0ms
(exp (* (log (* -2.0 (log u1))) (/ 0.5 2)))

simplify913.0ms

Algorithm
egg-herbie
Counts
2906 → 2906
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
0500196993

prune12.2s

Filtered
2906 candidates to 1710 candidates (58.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New290512906
Fresh134
Picked101
Done022
Total290762913

Merged error: 0b

Counts
2913 → 6

regimes603.0ms

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
02613
12613

end0.0ms

sample934.0ms

Algorithm
intervals
Results
650.0ms8000×body80valid
133.0ms8000×pre80true