Details

Time bar (total: 33.6s)

sample499.0ms

Algorithm
intervals
Results
262.0ms94×body1280valid
101.0ms44×body640valid
63.0ms82×body80valid
36.0ms25×body320valid
10.0ms11×body160valid

simplify483.0ms

Counts
1 → 1
Iterations
IterNodes
done2000
3657
2188
174
032

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize91.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (- (cos x) (cos y)) (sqrt 2.0)) (- (sin y) (/ (sin x) 16.0)))
0.3b
(* (- (cos x) (cos y)) (sqrt 2.0))
1.0b
(- 3.0 (sqrt 5.0))
2.2b
(- (cos x) (cos y))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
105×prod-diff
104×*-un-lft-identity
96×add-cube-cbrt
55×times-frac
41×distribute-rgt-in distribute-lft-in
14×sqrt-prod
12×associate-*r*
11×pow1 add-cbrt-cube add-exp-log
10×associate-*l/
9×flip3-- flip--
8×add-log-exp
7×associate-*l*
6×fma-neg div-inv difference-of-squares
4×expm1-log1p-u frac-times sub-neg pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u distribute-lft-out--
2×diff-log associate-*r/ *-commutative diff-cos unswap-sqr
Counts
4 → 213
Calls
4 calls:
69.0ms
(* (* (- (cos x) (cos y)) (sqrt 2.0)) (- (sin y) (/ (sin x) 16.0)))
24.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
5.0ms
(- 3.0 (sqrt 5.0))
9.0ms
(- (cos x) (cos y))

series308.0ms

Counts
4 → 10
Calls
4 calls:
143.0ms
(* (* (- (cos x) (cos y)) (sqrt 2.0)) (- (sin y) (/ (sin x) 16.0)))
100.0ms
(* (- (cos x) (cos y)) (sqrt 2.0))
0.0ms
(- 3.0 (sqrt 5.0))
65.0ms
(- (cos x) (cos y))

simplify782.0ms

Counts
223 → 223
Iterations
IterNodes
done2001
11388
0497

prune1.8s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize132.0ms

Local error

Found 4 expressions with local error:

1.0b
(- 3.0 (sqrt 5.0))
2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
59.9b
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
37×*-un-lft-identity
36×prod-diff
31×add-cube-cbrt
10×sqrt-prod add-log-exp
9×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u difference-of-squares
3×sub-neg flip3-- diff-log flip-- distribute-lft-out--
2×diff-cos
1×fma-udef
Counts
4 → 110
Calls
4 calls:
9.0ms
(- 3.0 (sqrt 5.0))
18.0ms
(- (cos x) (cos y))
13.0ms
(- (cos x) (cos y))
1.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

series645.0ms

Counts
4 → 10
Calls
4 calls:
0.0ms
(- 3.0 (sqrt 5.0))
57.0ms
(- (cos x) (cos y))
63.0ms
(- (cos x) (cos y))
525.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

simplify529.0ms

Counts
120 → 120
Iterations
IterNodes
done2002
2895
1390
0188

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize158.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
59.9b
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×add-log-exp
9×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×sub-neg flip3-- diff-log diff-cos flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 101
Calls
4 calls:
7.0ms
(- (cos x) (cos y))
10.0ms
(- (cos x) (cos y))
7.0ms
(- (cos x) (cos y))
0.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(- (cos x) (cos y))
75.0ms
(- (cos x) (cos y))
70.0ms
(- (cos x) (cos y))
477.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

simplify824.0ms

Counts
113 → 113
Iterations
IterNodes
done2002
31573
2512
1217
0104

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize167.0ms

Local error

Found 4 expressions with local error:

2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
2.2b
(- (cos x) (cos y))
59.9b
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt *-un-lft-identity
27×prod-diff
25×add-cube-cbrt
10×add-log-exp
9×fma-neg
4×expm1-log1p-u pow1 add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×sub-neg flip3-- diff-log diff-cos flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 101
Calls
4 calls:
7.0ms
(- (cos x) (cos y))
7.0ms
(- (cos x) (cos y))
7.0ms
(- (cos x) (cos y))
0.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

series672.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (cos x) (cos y))
87.0ms
(- (cos x) (cos y))
76.0ms
(- (cos x) (cos y))
426.0ms
(fma (- (/ (cbrt (sin x)) (cbrt 16.0))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0))) (* (/ (cbrt (sin x)) (cbrt 16.0)) (/ (* (cbrt (sin x)) (cbrt (sin x))) (* (cbrt 16.0) (cbrt 16.0)))))

simplify882.0ms

Counts
113 → 113
Iterations
IterNodes
done2002
31573
2512
1217
0104

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

regimes936.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify39.0ms

Iterations
IterNodes
done68
368
266
162
049

end0.0ms

sample19.6s

Algorithm
intervals
Results
10.6s2714×body1280valid
5.0s1807×body640valid
2.1s765×body320valid
1.2s2370×body80valid
438.0ms344×body160valid