Details

sample1.4s

Algorithm

intervals

Results

798.0ms	233×	body	10240	exit
280.0ms	95×	body	2560	valid
107.0ms	68×	body	1280	valid
74.0ms	489×	body	80	nan
43.0ms	47×	body	640	valid
20.0ms	29×	body	320	valid
7.0ms	14×	body	160	valid
1.0ms	2×	body	320	nan
1.0ms	3×	body	80	valid
1.0ms	1×	body	160	nan

simplify13.5s

Counts

1 → 1

Iterations

Iter	Nodes
8	9605
7	1734
6	473
5	197
4	85
3	42
2	24
1	16
0	7

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh a)
2.0b	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
60.3b	(fmod (cosh a) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 26

Calls

3 calls:

3.0ms	(cosh a)
3.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
1.0ms	(fmod (cosh a) (* a a))

series89.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(cosh a)
5.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
15.0ms	(fmod (cosh a) (* a a))

simplify786.0ms

Counts

35 → 35

Iterations

Iter	Nodes
5	2262
4	836
3	344
2	170
1	103
0	58

prune421.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh a)
2.0b	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
9.4b	(log (exp (fmod (cosh a) (* a a))))
60.3b	(fmod (cosh a) (* a a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`acos-asin` `cosh-def` `rem-log-exp`

Counts

4 → 42

Calls

4 calls:

1.0ms	(cosh a)
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series72.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cosh a)
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
3.0ms	(fmod (cosh a) (* a a))

simplify929.0ms

Counts

54 → 54

Iterations

Iter	Nodes
5	2423
4	931
3	401
2	211
1	134
0	80

prune613.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1/2 (exp a))
2.0b	(acos (pow (log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))) (log1p a)))
9.4b	(log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))))
60.3b	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube`
5×	`pow1` `add-exp-log`
4×	`log-pow` `insert-posit16` `add-log-exp`
3×	`log-prod` `exp-prod` `associate-/r` `associate-/l`
1×	`acos-asin` `cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 61

Calls

4 calls:

6.0ms	(/ 1/2 (exp a))
1.0ms	(acos (pow (log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))))
0.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(/ 1/2 (exp a))
8.0ms	(acos (pow (log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))))
3.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

simplify2.0s

Counts

73 → 73

Iterations

Iter	Nodes
4	2765
3	876
2	354
1	181
0	110

prune637.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.0b

localize45.0ms

Local error

Found 4 expressions with local error:

2.0b	(acos (pow (* (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))) (log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))) (log1p a)))
8.5b	(log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))
60.3b	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))
60.3b	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`exp-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`log-prod` `sqrt-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 44

Calls

4 calls:

2.0ms	(acos (pow (* (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))) (log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))) (log1p a)))
3.0ms	(log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))
0.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))
0.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (pow (* (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))) (log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))) (log1p a)))
16.0ms	(log (exp (sqrt (fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a)))))
3.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))
3.0ms	(fmod (+ (* 1/2 (exp a)) (/ 1/2 (exp a))) (* a a))

simplify1.6s

Counts

56 → 56

Iterations

Iter	Nodes
7	2782
6	985
5	463
4	265
3	182
2	132
1	103
0	73

prune714.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 59.0b

regimes311.0ms

Accuracy

0% (0.1b remaining)

Error of 59.3b against oracle of 59.2b and baseline of 59.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	15

end0.0ms

sample33.0s

Algorithm

intervals

Results

19.2s	7848×	body	10240	exit
6.5s	3198×	body	2560	valid
2.8s	2439×	body	1280	valid
2.3s	15876×	body	80	nan
1.2s	1288×	body	640	valid
369.0ms	659×	body	320	valid
105.0ms	306×	body	160	valid
19.0ms	110×	body	80	valid
9.0ms	6×	body	2560	nan
6.0ms	7×	body	1280	nan
5.0ms	2×	body	5120	nan
5.0ms	11×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	6×	body	160	nan