Details

sample302.0ms

Algorithm

intervals

Results

87.0ms	74×	body	1280	valid
78.0ms	88×	body	640	valid
70.0ms	239×	body	80	valid
28.0ms	48×	body	320	valid
11.0ms	28×	body	160	valid

simplify314.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

314.0ms

(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize30.0ms

Local error

Found 3 expressions with local error:

6.2b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite131.0ms

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

65.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
38.0ms	(* J (- (exp l) (exp (- l))))
27.0ms	(- (exp l) (exp (- l)))

series269.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

132.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
83.0ms	(* J (- (exp l) (exp (- l))))
54.0ms	(- (exp l) (exp (- l)))

simplify20.3s

Counts

141 → 108

Calls

141 calls:

Slowest

701.0ms	(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
666.0ms	(* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l)))))
594.0ms	(cbrt (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))))
488.0ms	(* J (fma 1 (exp l) (- (* (cbrt (exp (- l))) (* (cbrt (exp (- l))) (cbrt (exp (- l))))))))
464.0ms	(* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l))))

prune1.5s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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 1/3 (* l l) 2)

rewrite29.0ms

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

16.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
6.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
6.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/3 (* l l) 2)

series604.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

210.0ms	(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
192.0ms	(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
142.0ms	(* l (fma 1/3 (* l l) 2))
60.0ms	(fma 1/3 (* l l) 2)

simplify16.8s

Counts

93 → 90

Calls

93 calls:

Slowest

870.0ms	(* (* (* l (fma 1/3 (* l l) 2)) (* l (fma 1/3 (* l l) 2))) (* l (fma 1/3 (* l l) 2)))
780.0ms	(sqrt (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
674.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
499.0ms	(* J (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))
496.0ms	(* J (* (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))))))

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

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 1/3 (* l l) 2)

rewrite61.0ms

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))))
14.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
12.0ms	(* l (fma 1/3 (* l l) 2))
0.0ms	(fma 1/3 (* l l) 2)

series545.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

212.0ms	(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
132.0ms	(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
112.0ms	(* l (fma 1/3 (* l l) 2))
88.0ms	(fma 1/3 (* l l) 2)

simplify17.4s

Counts

89 → 88

Calls

89 calls:

Slowest

1.0s	(* (* (* l (fma 1/3 (* l l) 2)) (* l (fma 1/3 (* l l) 2))) (* l (fma 1/3 (* l l) 2)))
812.0ms	(* (* (* (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))))
735.0ms	(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
456.0ms	(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
452.0ms	(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
0.4b	(* l (sqrt (fma 1/3 (* l l) 2)))
0.1b	(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
0.1b	(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `pow1` `add-cbrt-cube` `add-exp-log`
16×	`associate-r`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`sqrt-prod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`

Counts

4 → 91

Calls

4 calls:

Slowest

33.0ms	(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))
21.0ms	(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
21.0ms	(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
15.0ms	(* l (sqrt (fma 1/3 (* l l) 2)))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

468.0ms	(* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))
215.0ms	(* J (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))))
195.0ms	(* l (sqrt (fma 1/3 (* l l) 2)))
145.0ms	(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

simplify17.0s

Counts

102 → 103

Calls

102 calls:

Slowest

908.0ms	(* (* (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))) (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
421.0ms	(* (* (* J J) J) (* (* (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2))) (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))) (* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))))
402.0ms	(* (* (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2))))
376.0ms	(* J (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))))
374.0ms	(* (fma 1/60 (pow l 5) (* (* l (sqrt (fma 1/3 (* l l) 2))) (sqrt (fma 1/3 (* l l) 2)))) (cos (/ K 2)))

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes531.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch6.0ms

end0.0ms

sample9.8s

Algorithm

intervals

Results

3.8s	2621×	body	1280	valid
2.1s	2527×	body	640	valid
2.1s	8303×	body	80	valid
899.0ms	1483×	body	320	valid
300.0ms	749×	body	160	valid