Details

sample1.1s

Algorithm

intervals

Results

827.0ms	264×	body	10240	exit
92.0ms	69×	body	1280	valid
69.0ms	63×	body	640	valid
17.0ms	7×	body	2560	valid
17.0ms	179×	body	80	nan
13.0ms	84×	body	80	valid
8.0ms	24×	body	320	valid
5.0ms	9×	body	160	valid

simplify12.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

11.0ms

(fmod (cosh c) (log1p a))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 17

Calls

2 calls:

Slowest

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

series81.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

72.0ms	(cosh c)
9.0ms	(fmod (cosh c) (log1p a))

simplify281.0ms

Counts

6 → 23

Calls

6 calls:

Slowest

141.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
96.0ms	(+ (* 1/2 (pow c 2)) (+ (* 1/24 (pow c 4)) 1))
24.0ms	(* 1/2 (+ (exp c) (exp (- c))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

prune314.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 35.1b

localize21.0ms

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)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 48

Calls

4 calls:

Slowest

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

series325.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

199.0ms	(log (cosh c))
77.0ms	(cosh c)
46.0ms	(exp (log (cosh c)))
3.0ms	(fmod (exp (log (cosh c))) (log1p a))

simplify1.5s

Counts

25 → 60

Calls

25 calls:

Slowest

310.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
207.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
172.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
167.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
111.0ms	(exp (* (cbrt (log (cosh c))) (cbrt (log (cosh c)))))

prune701.0ms

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)))

rewrite30.0ms

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×	`add-cbrt-cube` `log-pow` `insert-posit16` `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 → 91

Calls

4 calls:

Slowest

18.0ms	(* (cbrt (cosh c)) (cbrt (cosh c)))
7.0ms	(exp (log (cbrt (cosh c))))
3.0ms	(log (cbrt (cosh c)))
0.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (exp (log (cbrt (cosh c))))) (log1p a))

series995.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

412.0ms	(log (cbrt (cosh c)))
379.0ms	(* (cbrt (cosh c)) (cbrt (cosh c)))
198.0ms	(exp (log (cbrt (cosh c))))
6.0ms	(fmod (* (* (cbrt (cosh c)) (cbrt (cosh c))) (exp (log (cbrt (cosh c))))) (log1p a))

simplify4.8s

Counts

81 → 103

Calls

81 calls:

Slowest

626.0ms	(- (+ (* 1/6 (pow c 2)) 1) (* 1/72 (pow c 4)))
469.0ms	(pow (* 1/2 (+ (exp (* -1 c)) (exp c))) 1/3)
437.0ms	(log (pow (* 1/2 (+ (exp c) (exp (- c)))) 1/3))
350.0ms	(- (+ (* 1/6 (pow c 2)) (* 1/135 (pow c 6))) (* 1/36 (pow c 4)))
348.0ms	(pow (* 1/4 (pow (+ (exp c) (exp (- c))) 2)) 1/3)

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 35.0b

localize36.0ms

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)))))

rewrite13.0ms

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×	`add-cbrt-cube` `log-pow` `insert-posit16`
2×	`rem-exp-log`
1×	`log-div` `cosh-def` `rem-log-exp`

Counts

4 → 55

Calls

4 calls:

Slowest

5.0ms	(exp (exp (log (log (cosh c)))))
4.0ms	(exp (log (log (cosh c))))
2.0ms	(log (cosh c))
0.0ms	(fmod (exp (exp (log (log (cosh c))))) (log1p a))

series444.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

216.0ms	(exp (log (log (cosh c))))
181.0ms	(log (cosh c))
45.0ms	(exp (exp (log (log (cosh c)))))
3.0ms	(fmod (exp (exp (log (log (cosh c))))) (log1p a))

simplify1.9s

Counts

34 → 67

Calls

34 calls:

Slowest

321.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
241.0ms	(- (+ (* 1/2 (pow c 2)) (* 1/45 (pow c 6))) (* 1/12 (pow c 4)))
185.0ms	(* 1/2 (+ (exp (* -1 c)) (exp c)))
165.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))
161.0ms	(log (* 1/2 (+ (exp (* -1 c)) (exp c))))

prune762.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 35.0b

regimes517.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample16.7s

Algorithm

intervals

Results

12.5s	7864×	body	10240	exit
1.7s	2288×	body	1280	valid
762.0ms	1615×	body	640	valid
411.0ms	5341×	body	80	nan
274.0ms	2770×	body	80	valid
272.0ms	175×	body	2560	valid
205.0ms	724×	body	320	valid
76.0ms	420×	body	160	valid
16.0ms	8×	body	5120	valid