Details

sample1.0s

Algorithm

intervals

Results

662.0ms	231×	body	10240	exit
88.0ms	65×	body	1280	valid
79.0ms	152×	body	80	nan
67.0ms	70×	body	640	valid
9.0ms	81×	body	80	valid
7.0ms	24×	body	320	valid
4.0ms	2×	body	2560	valid
2.0ms	14×	body	160	valid

simplify11.1s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
40.8b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

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

series115.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(cosh c)
18.0ms	(fmod (cosh c) (log1p a))

simplify640.0ms

Counts: 21 → 21

prune144.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 35.9b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (cosh c))
0.0b	(sqrt (cosh c))
0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
40.8b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 87

Calls

4 calls:

2.0ms	(sqrt (cosh c))
2.0ms	(sqrt (cosh c))
30.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series256.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (cosh c))
98.0ms	(sqrt (cosh c))
74.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
6.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify564.0ms

Counts: 99 → 99

prune323.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 35.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* -1 c)) (exp c))
0.0b	(* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
1.0b	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
40.8b	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

rewrite187.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

12.0ms	(+ (exp (* -1 c)) (exp c))
98.0ms	(* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
74.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
1.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

series367.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (exp (* -1 c)) (exp c))
192.0ms	(* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c)))
131.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
12.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

simplify779.0ms

Counts: 93 → 93

prune546.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 35.1b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
1.0b	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
40.8b	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
40.8b	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

63.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
68.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
0.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
0.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

series325.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
144.0ms	(* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2))
20.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))
19.0ms	(fmod (* (* (sqrt (+ (exp (* -1 c)) (exp c))) (sqrt 1/2)) (sqrt (cosh c))) (log1p a))

simplify888.0ms

Counts: 92 → 92

prune576.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 35.0b

regimes707.0ms

Accuracy

-61.2% (0.8b remaining)

Error of 34.1b against oracle of 33.3b and baseline of 33.8b

bsearch0.0ms

simplify629.0ms

end0.0ms

sample18.6s

Algorithm

intervals

Results

13.5s	7738×	body	10240	exit
2.1s	2272×	body	1280	valid
861.0ms	1609×	body	640	valid
387.0ms	5128×	body	80	nan
280.0ms	169×	body	2560	valid
227.0ms	2773×	body	80	valid
206.0ms	761×	body	320	valid
65.0ms	404×	body	160	valid
29.0ms	12×	body	5120	valid