Details

sample1.0s

Algorithm

intervals

Results

815.0ms	264×	body	10240	exit
66.0ms	69×	body	1280	valid
50.0ms	7×	body	2560	valid
38.0ms	63×	body	640	valid
18.0ms	179×	body	80	nan
12.0ms	84×	body	80	valid
11.0ms	24×	body	320	valid
2.0ms	9×	body	160	valid

simplify18.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

17.0ms

(fmod (cosh c) (log1p a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize23.0ms

Local error

Found 2 expressions with local error:

40.2b	(fmod (cosh c) (log1p a))
0.0b	(cosh c)

rewrite8.0ms

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

4.0ms	(cosh c)
1.0ms	(fmod (cosh c) (log1p a))

series127.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

110.0ms	(cosh c)
16.0ms	(fmod (cosh c) (log1p a))

simplify868.0ms

Counts

6 → 27

Calls

6 calls:

Slowest

598.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
205.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
29.0ms	(* 1/2 (+ (exp c) (exp (- c))))
12.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune322.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 35.1b

localize18.0ms

Local error

Found 4 expressions with local error:

40.2b	(fmod (exp (log (cosh c))) (log1p a))
2.6b	(log (cosh c))
0.0b	(exp (log (cosh c)))
0.0b	(cosh c)

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `log-prod`
5×	`add-exp-log`
4×	`expm1-log1p-u` `exp-prod` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cosh-def` `exp-sum`
2×	`log-div` `log-pow`
1×	`exp-diff` `rem-log-exp` `rem-exp-log`

Counts

4 → 56

Calls

4 calls:

Slowest

3.0ms	(exp (log (cosh c)))
2.0ms	(log (cosh c))
1.0ms	(cosh c)
0.0ms	(fmod (exp (log (cosh c))) (log1p a))

series374.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

256.0ms	(log (cosh c))
60.0ms	(cosh c)
55.0ms	(exp (log (cosh c)))
3.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify1.9s

Counts

25 → 68

Calls

25 calls:

Slowest

416.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
228.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
216.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
193.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
175.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))

prune989.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 35.0b

localize25.0ms

Local error

Found 4 expressions with local error:

40.2b	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (exp (log (cbrt (cosh c))))) (log1p a))
2.4b	(log (cbrt (cosh c)))
0.0b	(exp (log (cbrt (cosh c))))
0.0b	(* (cbrt (cosh c)) (cbrt (cosh c)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`cbrt-prod`
17×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow1`
12×	`log-prod`
8×	`pow1/3`
7×	`add-exp-log`
6×	`cbrt-div` `cosh-def` `swap-sqr` `associate-r` `associate-l` `exp-sum`
5×	`exp-prod`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`log-div` `pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `exp-diff` `rem-log-exp` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 99

Calls

4 calls:

Slowest

10.0ms	(* (cbrt (cosh c)) (cbrt (cosh c)))
4.0ms	(exp (log (cbrt (cosh c))))
2.0ms	(log (cbrt (cosh c)))
0.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (exp (log (cbrt (cosh c))))) (log1p a))

series937.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

370.0ms	(* (cbrt (cosh c)) (cbrt (cosh c)))
340.0ms	(log (cbrt (cosh c)))
224.0ms	(exp (log (cbrt (cosh c))))
3.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (exp (log (cbrt (cosh c))))) (log1p a))

simplify4.5s

Counts

81 → 111

Calls

81 calls:

Slowest

422.0ms	(log (pow (* 1/2 (+ (exp c) (exp (- c)))) 1/3))
420.0ms	(pow (* 1/2 (+ (exp (* -1 c)) (exp c))) 1/3)
402.0ms	(- (+ (* 1/6 (pow c 2)) (* 1/135 (pow c 6))) (* 1/36 (pow c 4)))
342.0ms	(pow (* 1/4 (pow (+ (exp c) (exp (- c))) 2)) 1/3)
334.0ms	(- (+ (* 1/6 (pow c 2)) 1) (* 1/72 (pow c 4)))

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 35.0b

localize22.0ms

Local error

Found 4 expressions with local error:

40.2b	(fmod (exp (exp (log (log (cosh c))))) (log1p a))
2.6b	(log (cosh c))
0.2b	(exp (log (log (cosh c))))
0.0b	(exp (exp (log (log (cosh c)))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod` `exp-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
8×	`pow1` `exp-sum`
5×	`add-exp-log` `add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `log-pow` `insert-posit16` `log1p-expm1-u`
2×	`rem-exp-log`
1×	`log-div` `cosh-def` `rem-log-exp`

Counts

4 → 63

Calls

4 calls:

Slowest

13.0ms	(exp (exp (log (log (cosh c)))))
6.0ms	(exp (log (log (cosh c))))
4.0ms	(log (cosh c))
1.0ms	(fmod (exp (exp (log (log (cosh c))))) (log1p a))

series447.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

204.0ms	(log (cosh c))
177.0ms	(exp (log (log (cosh c))))
60.0ms	(exp (exp (log (log (cosh c)))))
5.0ms	(fmod (exp (exp (log (log (cosh c))))) (log1p a))

simplify2.1s

Counts

34 → 75

Calls

34 calls:

Slowest

401.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
326.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
188.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
171.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
152.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))

prune861.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.0b

regimes439.0ms

Accuracy

0% (0.1b remaining)

Error of 34.3b against oracle of 34.2b and baseline of 34.3b

bsearch1.0ms

end0.0ms

sample15.4s

Algorithm

intervals

Results

11.5s	7864×	body	10240	exit
1.8s	2288×	body	1280	valid
651.0ms	1615×	body	640	valid
361.0ms	5341×	body	80	nan
254.0ms	2770×	body	80	valid
224.0ms	175×	body	2560	valid
187.0ms	724×	body	320	valid
90.0ms	420×	body	160	valid
16.0ms	8×	body	5120	valid