Details

Time bar (total: 17.4s)

sample298.0ms

Algorithm
intervals
Results
58.0ms89×body1280valid
21.0ms61×body640valid
7.0ms26×body320valid
6.0ms71×body80valid
2.0ms9×body160valid

simplify30.0ms

Counts
1 → 1
Iterations
IterNodes
done20
420
319
216
112
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.7b

localize68.0ms

Local error

Found 3 expressions with local error:

0.1b
(* r (sin b))
0.2b
(/ (* r (sin b)) (cos (+ a b)))
3.8b
(cos (+ a b))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
5×pow1
3×expm1-log1p-u associate-/r* times-frac associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×cos-sum clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 53
Calls
3 calls:
12.0ms
(* r (sin b))
16.0ms
(/ (* r (sin b)) (cos (+ a b)))
16.0ms
(cos (+ a b))

series283.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(* r (sin b))
181.0ms
(/ (* r (sin b)) (cos (+ a b)))
38.0ms
(cos (+ a b))

simplify992.0ms

Counts
62 → 62
Iterations
IterNodes
done5001
2883
1220
098

prune468.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize61.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×associate-*r* associate-*l* add-log-exp
5×sin-mult
4×expm1-log1p-u associate-/r/ cos-mult log1p-expm1-u
3×associate-/r* times-frac prod-exp cbrt-unprod
2×cbrt-undiv flip3-- div-exp pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
15.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
14.0ms
(* r (sin b))
43.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
19.0ms
(* (sin a) (sin b))

series541.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (* (cos a) (cos b)) (* (sin a) (sin b)))
44.0ms
(* r (sin b))
330.0ms
(/ (* r (sin b)) (- (* (cos a) (cos b)) (* (sin a) (sin b))))
63.0ms
(* (sin a) (sin b))

simplify1.7s

Counts
98 → 98
Iterations
IterNodes
done5002
21691
1389
0153

prune836.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* times-frac prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×clear-num frac-2neg fma-udef div-inv sin-mult associate-/l*
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
7.0ms
(* r (sin b))
9.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))
11.0ms
(* (sin a) (sin b))

series587.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(fma (cos a) (cos b) (- (* (sin a) (sin b))))
43.0ms
(* r (sin b))
354.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (* (sin a) (sin b)))))
84.0ms
(* (sin a) (sin b))

simplify1.8s

Counts
86 → 86
Iterations
IterNodes
done5002
21386
1301
0129

prune775.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
8×pow1
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-/r* times-frac prod-exp cbrt-unprod
2×cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×clear-num frac-2neg fma-udef div-inv sin-mult associate-/l*
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma (cos a) (cos b) (- (log1p (expm1 (* (sin a) (sin b))))))
7.0ms
(* r (sin b))
9.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (log1p (expm1 (* (sin a) (sin b)))))))
13.0ms
(* (sin a) (sin b))

series657.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(fma (cos a) (cos b) (- (log1p (expm1 (* (sin a) (sin b))))))
55.0ms
(* r (sin b))
357.0ms
(/ (* r (sin b)) (fma (cos a) (cos b) (- (log1p (expm1 (* (sin a) (sin b)))))))
75.0ms
(* (sin a) (sin b))

simplify1.5s

Counts
86 → 86
Iterations
IterNodes
done5000
21304
1300
0130

prune790.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes393.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.8s2890×body1280valid
1.4s1831×body640valid
351.0ms806×body320valid
259.0ms2128×body80valid
83.0ms346×body160valid