Details

Time bar (total: 1.1m)

sample238.0ms

Algorithm
intervals
Results
68.0ms69×body1280valid
57.0ms83×body640valid
39.0ms267×body80valid
37.0ms30×body160valid
17.0ms41×body320valid

simplify284.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
284.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.6b

localize49.0ms

Local error

Found 3 expressions with local error:

5.2b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg insert-posit16 log1p-expm1-u flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 99
Calls
3 calls:
Slowest
70.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
58.0ms
(* J (- (exp l) (exp (- l))))
33.0ms
(- (exp l) (exp (- l)))

series259.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
77.0ms
(* J (- (exp l) (exp (- l))))
59.0ms
(- (exp l) (exp (- l)))

simplify9.0s

Counts
80 → 108
Calls
80 calls:
Slowest
699.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
369.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
326.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
321.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
320.0ms
(* J (- (exp l) (exp (* -1 l))))

prune1.6s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod fma-udef
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
4 → 78
Calls
4 calls:
Slowest
22.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
9.0ms
(* l (fma 1/3 (* l l) 2))
7.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
0.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series665.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
208.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
197.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
155.0ms
(* l (fma 1/3 (* l l) 2))
105.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify9.1s

Counts
45 → 90
Calls
45 calls:
Slowest
748.0ms
(+ (* 1/60 (pow l 5)) (+ (* 1/3 (pow l 3)) (* 2 l)))
740.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
503.0ms
(* (sqrt J) (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
493.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
491.0ms
(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×unswap-sqr
1×distribute-rgt-in distribute-lft-in
Counts
4 → 76
Calls
4 calls:
Slowest
33.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
16.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
6.0ms
(* l (fma 1/3 (* l l) 2))
0.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
127.0ms
(* l (fma 1/3 (* l l) 2))
116.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
72.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))

simplify9.2s

Counts
43 → 88
Calls
43 calls:
Slowest
996.0ms
(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
767.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
547.0ms
(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
499.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
484.0ms
(* (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

41.4b
(cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
0.1b
(* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2)))
0.1b
(* J (* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2))))
0.1b
(* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
16×add-exp-log
14×add-cbrt-cube
11×add-sqr-sqrt
8×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r* pow-prod-down prod-exp cbrt-unprod
6×pow-plus pow-prod-up
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-prod pow2 pow3 pow-sqr fma-udef unswap-sqr
1×distribute-rgt-in distribute-lft-in pow1/3 rem-cbrt-cube
Counts
4 → 89
Calls
4 calls:
Slowest
51.0ms
(* J (* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2))))
32.0ms
(* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
24.0ms
(cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
19.0ms
(* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
227.0ms
(* J (* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2))))
121.0ms
(* (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (cos (/ K 2)))
120.0ms
(* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
77.0ms
(cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

simplify20.7s

Counts
60 → 101
Calls
60 calls:
Slowest
944.0ms
(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
880.0ms
(* (* l (fma 1/3 (* l l) 2)) (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
867.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
562.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
551.0ms
(* (cbrt (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))) (cbrt (cbrt (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))))

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes374.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample9.7s

Algorithm
intervals
Results
3.6s2587×body1280valid
3.0s2630×body640valid
1.6s8320×body80valid
861.0ms1419×body320valid
247.0ms762×body160valid