Details

Time bar (total: 28.7s)

sample376.0ms

Algorithm
intervals
Results
113.0ms62×body640valid
113.0ms85×body1280valid
18.0ms26×body320valid
17.0ms68×body80valid
7.0ms15×body160valid

simplify42.0ms

Counts
1 → 1
Iterations
IterNodes
621
521
420
318
216
112
08

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize37.0ms

Local error

Found 3 expressions with local error:

0.2b
(* r (/ (sin b) (cos (+ a b))))
0.2b
(/ (sin b) (cos (+ a b)))
6.2b
(cos (+ a b))

rewrite78.0ms

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:
15.0ms
(* r (/ (sin b) (cos (+ a b))))
19.0ms
(/ (sin b) (cos (+ a b)))
41.0ms
(cos (+ a b))

series261.0ms

Counts
3 → 9
Calls
3 calls:
155.0ms
(* r (/ (sin b) (cos (+ a b))))
71.0ms
(/ (sin b) (cos (+ a b)))
35.0ms
(cos (+ a b))

simplify1.1s

Counts
85 → 85
Iterations
IterNodes
32409
2802
1276
0126

prune1.0s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize45.0ms

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))

rewrite231.0ms

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:
29.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
144.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
45.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
11.0ms
(* (sin a) (sin b))

series718.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
348.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b)))))
187.0ms
(/ (sin b) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
52.0ms
(* (sin a) (sin b))

simplify3.9s

Counts
126 → 126
Iterations
IterNodes
34837
21494
1464
0186

prune1.7s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
0.2b
(* r (/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))))
0.2b
(/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
0.2b
(* (sin a) (sin b))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
19×times-frac
18×associate-*r*
13×add-cbrt-cube add-exp-log
8×pow1
7×add-log-exp
6×associate-*l*
4×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u
3×associate-/r* flip3-- prod-diff prod-exp cbrt-unprod flip-- associate-/l* unswap-sqr
2×cbrt-undiv diff-log div-exp pow-prod-down *-commutative div-inv
1×log1p-udef clear-num sub-neg frac-2neg fma-neg associate-*r/ sin-mult
Counts
4 → 111
Calls
4 calls:
25.0ms
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
87.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))))
27.0ms
(/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
12.0ms
(* (sin a) (sin b))

series806.0ms

Counts
4 → 12
Calls
4 calls:
161.0ms
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
354.0ms
(* r (/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))))
225.0ms
(/ (sin b) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
66.0ms
(* (sin a) (sin b))

simplify3.1s

Counts
123 → 123
Iterations
IterNodes
34830
21460
1464
0197

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
0.1b
(* r (sin b))
0.2b
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
0.2b
(* (sin a) (sin b))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
11×*-un-lft-identity add-cube-cbrt
8×pow1
7×add-log-exp
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* times-frac prod-diff prod-exp cbrt-unprod
2×cbrt-undiv flip3-- diff-log div-exp pow-prod-down associate-/r/ *-commutative flip-- unswap-sqr
1×log1p-udef clear-num sub-neg frac-2neg fma-neg div-inv sin-mult associate-/l*
Counts
4 → 89
Calls
4 calls:
23.0ms
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
16.0ms
(* r (sin b))
42.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
17.0ms
(* (sin a) (sin b))

series721.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b)))))
44.0ms
(* r (sin b))
404.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (log1p (expm1 (* (sin a) (sin b))))))
78.0ms
(* (sin a) (sin b))

simplify2.7s

Counts
101 → 101
Iterations
IterNodes
34220
21115
1390
0168

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes363.0ms

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
217
117
014

end0.0ms

sample7.5s

Algorithm
intervals
Results
4.5s2944×body1280valid
1.6s1814×body640valid
479.0ms2128×body80valid
474.0ms789×body320valid
155.0ms326×body160valid