Details

sample764.0ms

Algorithm

intervals

Results

566.0ms	245×	body	10240	exit
96.0ms	88×	body	1280	valid
31.0ms	52×	body	640	valid
15.0ms	136×	body	80	nan
12.0ms	27×	body	320	valid
10.0ms	77×	body	80	valid
5.0ms	2×	body	2560	valid
5.0ms	10×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

12.0ms

(fmod (cosh c) (log1p a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.9b

localize13.0ms

Local error

Found 2 expressions with local error:

41.9b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

2×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def`

Counts

2 → 21

Calls

2 calls:

Slowest

2.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series76.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

51.0ms	(cosh c)
24.0ms	(fmod (cosh c) (log1p a))

simplify316.0ms

Counts

6 → 27

Calls

6 calls:

Slowest

212.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
58.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
27.0ms	(* 1/2 (+ (exp c) (exp (- c))))
7.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))

prune326.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 36.8b

localize35.0ms

Local error

Found 4 expressions with local error:

41.9b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))
0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0b	(sqrt (cosh c))
0.0b	(sqrt (cosh c))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`cosh-def` `add-cbrt-cube` `sqrt-div` `associate-r` `associate-l` `add-exp-log`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

Slowest

10.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
2.0ms	(sqrt (cosh c))
2.0ms	(sqrt (cosh c))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series220.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

82.0ms	(sqrt (cosh c))
75.0ms	(sqrt (cosh c))
59.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
3.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify2.9s

Counts

87 → 111

Calls

87 calls:

Slowest

484.0ms	(* (* (* (sqrt (cosh c)) (sqrt (cosh c))) (sqrt (cosh c))) (* (* (sqrt (cosh c)) (sqrt (cosh c))) (sqrt (cosh c))))
225.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
140.0ms	(- (+ (* 1/4 (pow c 2)) 1) (* 1/96 (pow c 4)))
137.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
131.0ms	(- (+ (* 1/4 (pow c 2)) 1) (* 1/96 (pow c 4)))

prune1.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 36.1b

localize36.0ms

Local error

Found 4 expressions with local error:

41.9b	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
1.0b	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
0.0b	(* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
0.0b	(+ (exp (- c)) (exp c))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
16×	`pow1`
15×	`*-un-lft-identity`
14×	`sqrt-prod`
12×	`associate-r`
11×	`add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
10×	`pow-prod-down`
9×	`sqrt-div`
8×	`associate-l` `associate-*l/`
6×	`add-log-exp`
5×	`sqrt-pow1` `pow1/2`
4×	`expm1-log1p-u` `flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `insert-posit16` `log1p-expm1-u` `unswap-sqr`
3×	`cosh-def` `fma-def` `sqrt-unprod`
2×	`frac-times` `*-commutative` `distribute-lft-out`
1×	`+-commutative` `sum-log` `associate-*r/`

Counts

4 → 96

Calls

4 calls:

Slowest

82.0ms	(* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
41.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
27.0ms	(+ (exp (- c)) (exp c))
0.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

series422.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

226.0ms	(* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
140.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
41.0ms	(+ (exp (- c)) (exp c))
15.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

simplify5.4s

Counts

69 → 108

Calls

69 calls:

Slowest

358.0ms	(* (* (+ (exp (- c)) (exp c)) 1/2) (cosh c))
343.0ms	(* (* (+ (exp (- c)) (exp c)) 1/2) (cosh c))
276.0ms	(* (* (+ (exp (- c)) (exp c)) 1/2) (cosh c))
275.0ms	(* (* (sqrt (+ (pow (exp (- c)) 3) (pow (exp c) 3))) (sqrt 1/2)) (sqrt (+ (exp c) (exp (- c)))))
258.0ms	(* (+ (exp (* -1 c)) (exp c)) (pow (sqrt 1/2) 2))

prune1.6s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 36.1b

localize49.0ms

Local error

Found 4 expressions with local error:

41.9b	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
41.9b	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
1.0b	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
1.0b	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
22×	`sqrt-prod`
16×	`*-un-lft-identity`
14×	`associate-l`
12×	`pow1` `associate-r` `add-cube-cbrt`
8×	`add-cbrt-cube` `add-exp-log` `unswap-sqr`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

4 → 92

Calls

4 calls:

Slowest

50.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
47.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
0.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
0.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

series255.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

134.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
101.0ms	(* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2))
10.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
10.0ms	(fmod (* (* (sqrt (+ (exp (- c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

simplify3.0s

Counts

70 → 104

Calls

70 calls:

Slowest

168.0ms	(* (sqrt (+ (pow (exp (- c)) 3) (pow (exp c) 3))) (sqrt 1/2))
166.0ms	(* (sqrt (- (* (exp (- c)) (exp (- c))) (* (exp c) (exp c)))) (sqrt 1/2))
160.0ms	(* (sqrt (+ (pow (exp (- c)) 3) (pow (exp c) 3))) (sqrt 1/2))
154.0ms	(* (sqrt (- (* (exp (- c)) (exp (- c))) (* (exp c) (exp c)))) (sqrt 1/2))
141.0ms	(- (+ (* 1/2 (/ (* (pow c 2) (sqrt 1/2)) (sqrt 2))) (+ (* (sqrt 2) (sqrt 1/2)) (* 1/24 (/ (* (sqrt 1/2) (pow c 4)) (sqrt 2))))) (* 1/8 (/ (* (sqrt 1/2) (pow c 4)) (pow (sqrt 2) 3))))

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 35.9b

regimes549.0ms

Accuracy

0% (0.5b remaining)

Error of 34.2b against oracle of 33.7b and baseline of 34.2b

bsearch4.0ms

end0.0ms

sample15.9s

Algorithm

intervals

Results

11.9s	7833×	body	10240	exit
1.6s	2311×	body	1280	valid
680.0ms	1653×	body	640	valid
456.0ms	5138×	body	80	nan
302.0ms	2700×	body	80	valid
240.0ms	166×	body	2560	valid
238.0ms	788×	body	320	valid
89.0ms	376×	body	160	valid
11.0ms	6×	body	5120	valid