Details

Time bar (total: 32.9s)

sample351.0ms

Algorithm
intervals
Results
175.0ms99×body1280valid
63.0ms82×body640valid
47.0ms271×body80valid
23.0ms44×body320valid
9.0ms26×body160valid

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
82007
71093
6610
5337
4198
383
242
124
014

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.4b

localize34.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
5.8b
(- (exp l) (exp (- l)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×prod-diff
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×fma-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u flip--
1×sub-neg diff-log associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 52
Calls
2 calls:
77.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
21.0ms
(- (exp l) (exp (- l)))

series204.0ms

Counts
2 → 6
Calls
2 calls:
137.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
67.0ms
(- (exp l) (exp (- l)))

simplify1.2s

Counts
58 → 58
Iterations
IterNodes
32474
2801
1297
0124

prune822.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))
0.0b
(* l (+ (* (* l l) 1/3) 2))
0.1b
(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
0.2b
(* (* l l) 1/3)

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×associate-*r*
8×*-un-lft-identity add-cube-cbrt
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×associate-*r/ unswap-sqr
1×distribute-rgt-in distribute-lft-in flip3-+ flip-+ fma-udef
Counts
4 → 79
Calls
4 calls:
0.0ms
(fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))
57.0ms
(* l (+ (* (* l l) 1/3) 2))
27.0ms
(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
14.0ms
(* (* l l) 1/3)

series507.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))
137.0ms
(* l (+ (* (* l l) 1/3) 2))
247.0ms
(* (* J (fma 1/60 (pow l 5) (* l (+ (* (* l l) 1/3) 2)))) (cos (/ K 2)))
32.0ms
(* (* l l) 1/3)

simplify4.5s

Counts
91 → 91
Iterations
IterNodes
37158
21375
1399
0151

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* l l) (* l 1/3))
0.1b
(* (* l l) (* l l))
0.1b
(* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))
0.4b
(* l 1/3)

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
134×pow1
36×pow-prod-up
35×add-cbrt-cube pow-prod-down add-exp-log
22×pow-sqr
20×prod-exp cbrt-unprod
18×pow-plus
13×pow2
9×add-sqr-sqrt
8×associate-*r*
7×*-un-lft-identity add-cube-cbrt
6×associate-*l*
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×unswap-sqr
1×swap-sqr
Counts
4 → 133
Calls
4 calls:
47.0ms
(* (* l l) (* l 1/3))
43.0ms
(* (* l l) (* l l))
17.0ms
(* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))
5.0ms
(* l 1/3)

series365.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* (* l l) (* l 1/3))
62.0ms
(* (* l l) (* l l))
218.0ms
(* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))
28.0ms
(* l 1/3)

simplify2.7s

Counts
145 → 145
Iterations
IterNodes
34135
21033
1362
0157

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))) (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))))
13.5b
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
13.5b
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
13.5b
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 70
Calls
4 calls:
51.0ms
(* (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))) (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))))
22.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
22.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
29.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))

series1.7s

Counts
4 → 12
Calls
4 calls:
456.0ms
(* (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))) (cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2)))))
430.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
422.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))
434.0ms
(cbrt (* (* J (fma 2 l (fma 1/60 (* l (* (* l l) (* l l))) (* (* l l) (* l 1/3))))) (cos (/ K 2))))

simplify1.7s

Counts
82 → 82
Iterations
IterNodes
32927
2930
1367
0155

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes808.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
225
125
019

end0.0ms

sample10.5s

Algorithm
intervals
Results
3.6s2689×body1280valid
3.5s2653×body640valid
1.6s8398×body80valid
936.0ms1415×body320valid
257.0ms779×body160valid