Details

Time bar (total: 9.1s)

sample212.0ms

Algorithm
intervals
Results
116.0ms90×body1280valid
52.0ms58×body640valid
13.0ms74×body80valid
9.0ms16×body320valid
7.0ms18×body160valid

simplify49.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07430
118230
265730
3272730
4500130

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize36.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.6b
(- (cos x) (cos y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r*
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×flip3-- flip--
8×add-cube-cbrt add-log-exp
7×associate-*l* difference-of-squares
6×sub-neg
5×sqrt-prod
4×distribute-rgt-in frac-times distribute-lft-in pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
2×times-frac diff-log associate-*l/ *-commutative unswap-sqr
1×diff-cos
Counts
4 → 94
Calls
4 calls:
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
10.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- 3.0 (sqrt 5.0))
4.0ms
(- (cos x) (cos y))

series72.0ms

Counts
4 → 10
Calls
4 calls:
39.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
24.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

simplify97.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
06221094
126431002
250031002

prune479.0ms

Filtered
104 candidates to 70 candidates (32.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New959104
Fresh000
Picked101
Done000
Total969105

Merged error: 0.3b

Counts
105 → 9

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*r/
35×flip3-- flip--
32×frac-times
27×add-sqr-sqrt
20×pow1 add-exp-log add-cbrt-cube
18×associate-*r*
17×*-un-lft-identity
16×associate-*l/
10×pow-prod-down prod-exp cbrt-unprod
9×add-cube-cbrt
8×associate-*l*
7×sub-neg
6×distribute-rgt-in distribute-lft-in add-log-exp difference-of-squares
4×sqrt-prod distribute-lft-out--
3×*-commutative
2×times-frac diff-cos unswap-sqr
1×diff-log
Counts
4 → 133
Calls
4 calls:
26.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))

series82.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
22.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))

simplify123.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
08482481
149312282
250022282

prune476.0ms

Filtered
145 candidates to 101 candidates (30.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1432145
Fresh088
Picked101
Done000
Total14410154

Merged error: 0.3b

Counts
154 → 10

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))
2.9b
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
15×*-un-lft-identity
12×pow1 associate-*r*
11×add-exp-log add-cbrt-cube
10×associate-*r/
9×add-cube-cbrt
8×flip3-- flip--
7×sub-neg log-prod associate-*l* add-log-exp
6×distribute-rgt-in distribute-lft-in
5×difference-of-squares
4×frac-times exp-sum pow-prod-down prod-exp sqrt-prod cbrt-unprod
3×log-pow distribute-lft-out--
2×times-frac associate-*l/ *-commutative unswap-sqr
1×exp-prod exp-to-pow diff-log rem-log-exp diff-cos
Counts
4 → 97
Calls
4 calls:
17.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))
40.0ms
(log (exp (* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))

simplify73.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05871452
127001311
250031311

prune366.0ms

Filtered
109 candidates to 74 candidates (32.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1063109
Fresh279
Picked101
Done000
Total10910119

Merged error: 0.2b

Counts
119 → 10

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.6b
(- (cos x) (cos y))
2.9b
(log (exp (* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
3.2b
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×log-prod
13×*-un-lft-identity
9×add-cube-cbrt
8×pow1 exp-sum add-log-exp
7×sub-neg
6×add-exp-log distribute-rgt-in distribute-lft-in associate-*r* associate-*l* log-pow add-cbrt-cube
4×sqrt-prod
3×difference-of-squares
2×exp-prod flip3-- exp-to-pow associate-*r/ rem-log-exp flip-- distribute-lft-out-- unswap-sqr
1×times-frac diff-log pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
Counts
4 → 82
Calls
4 calls:
11.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
4.0ms
(- (cos x) (cos y))
4.0ms
(log (exp (* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
3.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

series74.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
9.0ms
(- (cos x) (cos y))
37.0ms
(log (exp (* (* (log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))))
15.0ms
(log (exp (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))))

simplify42.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
03771053
11289945
25002945

prune305.0ms

Filtered
94 candidates to 66 candidates (29.8%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New92294
Fresh189
Picked011
Done000
Total9311104

Merged error: 0.2b

Counts
104 → 11

regimes203.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05138
15138

end0.0ms

sample6.1s

Algorithm
intervals
Results
3.4s2732×body1280valid
1.4s1816×body640valid
436.0ms770×body320valid
395.0ms2297×body80valid
143.0ms385×body160valid

Profiling

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