Details

Time bar (total: 19.9s)

sample237.0ms

Algorithm
intervals
Results
122.0ms83×body1280valid
39.0ms67×body640valid
12.0ms25×body320valid
9.0ms75×body80valid
2.0ms6×body160valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
done21
521
420
318
216
112
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize59.0ms

Local error

Found 3 expressions with local error:

0.2b
(* r (/ (sin b) (cos (+ a b))))
0.2b
(/ (sin b) (cos (+ a b)))
2.8b
(cos (+ a b))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×*-un-lft-identity times-frac add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1
3×expm1-log1p-u associate-/r* associate-*l* insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×cos-sum clear-num frac-2neg pow-prod-down associate-*r/ *-commutative
Counts
3 → 76
Calls
3 calls:
24.0ms
(* r (/ (sin b) (cos (+ a b))))
9.0ms
(/ (sin b) (cos (+ a b)))
11.0ms
(cos (+ a b))

series285.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(* r (/ (sin b) (cos (+ a b))))
75.0ms
(/ (sin b) (cos (+ a b)))
40.0ms
(cos (+ a b))

simplify1.2s

Counts
85 → 85
Iterations
IterNodes
done2000
32000
2877
1280
0126

prune513.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
0.2b
(* (sin a) (sin b))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×associate-*r*
19×times-frac
13×add-cbrt-cube add-exp-log
8×pow1 associate-/r/
7×sin-mult
6×associate-*l* cos-mult add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* flip3-- prod-exp frac-sub cbrt-unprod flip-- associate-/l* sub-div unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-*r/
Counts
4 → 114
Calls
4 calls:
19.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
106.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
34.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
16.0ms
(* (sin a) (sin b))

series807.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
403.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
198.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
65.0ms
(* (sin a) (sin b))

simplify1.4s

Counts
126 → 126
Iterations
IterNodes
done2002
32002
21536
1468
0186

prune860.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
0.1b
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
0.2b
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
0.2b
(* (sin a) (sin b))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
23×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×add-cbrt-cube associate-*r*
18×times-frac
13×prod-exp
12×pow1
8×associate-/r/
7×cbrt-unprod sin-mult
6×div-exp cos-mult add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down insert-posit16 log1p-expm1-u
3×cbrt-undiv rec-exp associate-/r* flip3-- 1-exp frac-sub flip-- associate-/l* sub-div
2×*-commutative div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-*r/ un-div-inv pow-flip inv-pow unswap-sqr
Counts
4 → 124
Calls
4 calls:
36.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
68.0ms
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
91.0ms
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
14.0ms
(* (sin a) (sin b))

series652.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
135.0ms
(/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b))))
340.0ms
(* (* r (sin b)) (/ 1 (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
62.0ms
(* (sin a) (sin b))

simplify1.5s

Counts
136 → 136
Iterations
IterNodes
done2001
32001
21615
1525
0198

prune823.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
0.2b
(* (sin b) (sin a))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity add-cube-cbrt
20×associate-*r*
19×times-frac
13×add-cbrt-cube add-exp-log
8×pow1 associate-/r/
7×sin-mult
6×associate-*l* cos-mult add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* flip3-- prod-exp frac-sub cbrt-unprod flip-- associate-/l* sub-div unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff associate-*r/
Counts
4 → 114
Calls
4 calls:
36.0ms
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
107.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))
26.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
13.0ms
(* (sin b) (sin a))

series715.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (* (cos a) (cos b)) (* (sin b) (sin a)))
360.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a)))))
182.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin b) (sin a))))
67.0ms
(* (sin b) (sin a))

simplify1.3s

Counts
126 → 126
Iterations
IterNodes
done2002
32002
21473
1470
0192

prune750.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done17
117
014

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.8s2838×body1280valid
2.0s1884×body640valid
912.0ms783×body320valid
451.0ms2134×body80valid
139.0ms362×body160valid