Details

Time bar (total: 16.5s)

sample197.0ms

Algorithm
intervals
Results
89.0ms79×body1280valid
53.0ms67×body640valid
15.0ms77×body80valid
11.0ms22×body320valid
4.0ms11×body160valid

simplify754.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03250
17450
217650
354250
4170050
done500050

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize34.0ms

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)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.0b
(- 3.0 (sqrt 5.0))
1.5b
(- (cos x) (cos y))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
30×flip3-- flip--
28×frac-times associate-*r/
25×add-sqr-sqrt
16×*-un-lft-identity
15×pow1 add-exp-log add-cbrt-cube
14×associate-*l/
12×associate-*r*
8×add-cube-cbrt add-log-exp
7×associate-*l* pow-prod-down prod-exp cbrt-unprod
6×sub-neg difference-of-squares
5×sqrt-prod
4×distribute-rgt-in distribute-lft-in distribute-lft-out--
2×diff-log *-commutative diff-cos unswap-sqr
1×times-frac
Counts
4 → 115
Calls
4 calls:
165.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
32.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- 3.0 (sqrt 5.0))
3.0ms
(- (cos x) (cos y))

series401.0ms

Counts
4 → 10
Calls
4 calls:
240.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
99.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
0.0ms
(- 3.0 (sqrt 5.0))
62.0ms
(- (cos x) (cos y))

simplify1.1s

Counts
125 → 125
Iterations

Useful iterations: 2 (318.0ms)

IterNodesCost
02753305
18453169
237282943
done50002943

prune987.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

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)))
0.3b
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.5b
(- (cos x) (cos y))

rewrite260.0ms

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:
55.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
167.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
28.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- (cos x) (cos y))

series543.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))
234.0ms
(* (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))) (- (cos x) (cos y)))
96.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
61.0ms
(- (cos x) (cos y))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: 2 (405.0ms)

IterNodesCost
02684154
18493986
240763669
done50003669

prune954.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))
0.5b
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
1.5b
(- (cos x) (cos y))
2.8b
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
16×*-un-lft-identity
12×associate-*r* associate-*l*
10×pow1 add-cube-cbrt
8×add-exp-log add-cbrt-cube add-log-exp
7×sub-neg log-prod
6×distribute-rgt-in distribute-lft-in log-pow
4×associate-*r/ exp-sum sqrt-prod difference-of-squares
3×flip3-- flip-- distribute-lft-out-- unswap-sqr
2×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod diff-cos
1×times-frac diff-log rem-log-exp
Counts
4 → 94
Calls
4 calls:
14.0ms
(* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))
32.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
3.0ms
(- (cos x) (cos y))
3.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

series556.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0))))) (- (cos x) (cos y)))
100.0ms
(* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0)))
62.0ms
(- (cos x) (cos y))
146.0ms
(log (exp (* (* (sqrt 2.0) (- (sin x) (/ (sin y) 16.0))) (- (sin y) (/ (sin x) 16.0)))))

simplify586.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (152.0ms)

IterNodesCost
01992269
14422122
215971926
done50011926

prune711.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)
1.5b
(- (cos x) (cos y))
2.8b
(log (exp (* (cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)) (- (sin y) (/ (sin x) 16.0)))))
7.9b
(cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×pow1 cbrt-prod
7×add-exp-log add-cube-cbrt log-prod add-cbrt-cube add-log-exp
4×cube-div exp-sum associate-*l/
3×sub-neg pow-unpow flip3-- log-pow flip--
2×distribute-rgt-in cube-mult unpow-prod-down cbrt-div pow-pow distribute-lft-in unpow3 cube-prod pow-exp rem-cube-cbrt sqr-pow
1×pow-to-exp exp-prod exp-to-pow pow1/3 diff-log rem-log-exp pow-prod-down prod-exp rem-cbrt-cube cbrt-unprod diff-cos distribute-lft-out-- difference-of-squares
Counts
4 → 76
Calls
4 calls:
10.0ms
(pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)
3.0ms
(- (cos x) (cos y))
6.0ms
(log (exp (* (cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)) (- (sin y) (/ (sin x) 16.0)))))
3.0ms
(cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3))

series489.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)
63.0ms
(- (cos x) (cos y))
147.0ms
(log (exp (* (cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3)) (- (sin y) (/ (sin x) 16.0)))))
99.0ms
(cbrt (pow (* (- (sin x) (/ (sin y) 16.0)) (sqrt 2.0)) 3))

simplify486.0ms

Counts
88 → 88
Iterations

Useful iterations: done (483.0ms)

IterNodesCost
01911740
14301474
213711341
done50011331

prune608.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

regimes204.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
041101
152101
done52101

end0.0ms

sample5.8s

Algorithm
intervals
Results
3.2s2767×body1280valid
1.4s1856×body640valid
386.0ms730×body320valid
358.0ms2330×body80valid
112.0ms317×body160valid