Details

sample226.0ms

Algorithm

intervals

Results

78.0ms	85×	body	640	valid
70.0ms	80×	body	1280	valid
31.0ms	241×	body	80	valid
21.0ms	51×	body	320	valid
5.0ms	19×	body	160	valid

simplify3.6s

Counts: 1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.8b

localize49.0ms

Local error

Found 3 expressions with local error:

7.2b	(- (exp l) (exp (- l)))
0.0b	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b	(* J (- (exp l) (exp (- l))))

rewrite169.0ms

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

103.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
39.0ms	(* J (- (exp l) (exp (- l))))
25.0ms	(- (exp l) (exp (- l)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

119.0ms	(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
90.0ms	(* J (- (exp l) (exp (- l))))
50.0ms	(- (exp l) (exp (- l)))

simplify1.3s

Counts: 108 → 108

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `fma-udef`
1×	`flip3-+` `flip-+`

Counts

4 → 91

Calls

4 calls:

Slowest

30.0ms	(* 1/3 (* l l))
16.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
11.0ms	(* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l))))))
11.0ms	(* l (+ 2 (* 1/3 (* l l))))

series640.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(* (* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l)))))) (cos (/ K 2)))
178.0ms	(* J (fma (pow l 5) 1/60 (* l (+ 2 (* 1/3 (* l l))))))
122.0ms	(* l (+ 2 (* 1/3 (* l l))))
55.0ms	(* 1/3 (* l l))

simplify3.5s

Counts: 103 → 103

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.3b	(cbrt (cos (/ K 2)))
0.1b	(* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma l (fma (* l l) 1/3 2) (* (* (* l (* l l)) (* l l)) 1/60)) J))) (cbrt (cos (/ K 2))))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

Slowest

145.0ms	(* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma l (fma (* l l) 1/3 2) (* (* (* l (* l l)) (* l l)) 1/60)) J))) (cbrt (cos (/ K 2))))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))
1.0ms	(cbrt (cos (/ K 2)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

239.0ms	(* (* (cbrt (cos (/ K 2))) (* (cbrt (cos (/ K 2))) (* (fma l (fma (* l l) 1/3 2) (* (* (* l (* l l)) (* l l)) 1/60)) J))) (cbrt (cos (/ K 2))))
156.0ms	(cbrt (cos (/ K 2)))
136.0ms	(cbrt (cos (/ K 2)))
135.0ms	(cbrt (cos (/ K 2)))

simplify2.9s

Counts: 84 → 84

prune1.5s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
0.4b	(* l (sqrt (+ 2 (* 1/3 (* l l)))))
0.2b	(* 1/3 (* l l))
0.2b	(* 1/3 (* l l))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1` `add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
14×	`sqrt-div` `associate-r`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 103

Calls

4 calls:

Slowest

56.0ms	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
29.0ms	(* 1/3 (* l l))
22.0ms	(* 1/3 (* l l))
12.0ms	(* l (sqrt (+ 2 (* 1/3 (* l l)))))

series381.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(* l (sqrt (+ 2 (* 1/3 (* l l)))))
146.0ms	(* (* l (sqrt (+ 2 (* 1/3 (* l l))))) (sqrt (+ 2 (* 1/3 (* l l)))))
35.0ms	(* 1/3 (* l l))
33.0ms	(* 1/3 (* l l))

simplify2.7s

Counts: 115 → 115

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes416.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch3.0ms

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.6s	2694×	body	1280	valid
2.5s	2525×	body	640	valid
2.0s	8388×	body	80	valid
848.0ms	1487×	body	320	valid
642.0ms	689×	body	160	valid