Details

sample1.6s

Algorithm

intervals

Results

803.0ms	233×	body	10240	exit
308.0ms	95×	body	2560	valid
107.0ms	489×	body	80	nan
106.0ms	68×	body	1280	valid
45.0ms	29×	body	320	valid
45.0ms	47×	body	640	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

simplify14.1s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.6b

localize28.0ms

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))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

3×	`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×	`acos-asin` `cosh-def`

Counts

3 → 32

Calls

3 calls:

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

series80.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(cosh a)
2.0ms	(acos (pow (fmod (cosh a) (* a a)) (log1p a)))
8.0ms	(fmod (cosh a) (* a a))

simplify857.0ms

Counts

41 → 41

Iterations

Iter	Nodes
5	2045
4	851
3	387
2	188
1	111
0	64

prune414.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 59.1b

localize29.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log-pow` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod`
1×	`acos-asin` `cosh-def` `rem-log-exp`

Counts

4 → 50

Calls

4 calls:

1.0ms	(cosh a)
1.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (cosh a) (* a a))))
0.0ms	(fmod (cosh a) (* a a))

series63.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cosh a)
3.0ms	(acos (pow (log (exp (fmod (cosh a) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (cosh a) (* a a))))
2.0ms	(fmod (cosh a) (* a a))

simplify730.0ms

Counts

62 → 62

Iterations

Iter	Nodes
5	2016
4	905
3	439
2	229
1	144
0	88

prune427.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1/2 (exp a))
2.0b	(acos (pow (log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a)))) (log1p a)))
9.4b	(log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))))
60.3b	(fmod (fma (exp a) 1/2 (/ 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×	`expm1-log1p-u` `log-pow` `insert-posit16` `log1p-expm1-u` `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 → 69

Calls

4 calls:

5.0ms	(/ 1/2 (exp a))
1.0ms	(acos (pow (log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a)))) (log1p a)))
2.0ms	(log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))))
0.0ms	(fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))

series18.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(/ 1/2 (exp a))
3.0ms	(acos (pow (log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a)))) (log1p a)))
3.0ms	(log (exp (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))))
3.0ms	(fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))

simplify882.0ms

Counts

81 → 81

Iterations

Iter	Nodes
5	2117
4	1068
3	525
2	308
1	189
0	115

prune669.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 59.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity` `log-pow` `add-cube-cbrt`
6×	`exp-prod`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `sqrt-prod`
1×	`acos-asin` `rem-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series23.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(acos (pow (* (sqrt (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))) (log (exp (sqrt (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a)))))) (log1p a)))
14.0ms	(log (exp (sqrt (fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a)))))
3.0ms	(fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))
3.0ms	(fmod (fma (exp a) 1/2 (/ 1/2 (exp a))) (* a a))

simplify3.2s

Counts

64 → 64

Iterations

Iter	Nodes
7	3948
6	1241
5	583
4	301
3	191
2	135
1	102
0	75

prune533.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 59.0b

regimes278.0ms

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	15
1	15
0	14

end0.0ms

sample31.4s

Algorithm

intervals

Results

17.9s	7848×	body	10240	exit
6.8s	3198×	body	2560	valid
2.9s	2439×	body	1280	valid
2.1s	15876×	body	80	nan
864.0ms	1288×	body	640	valid
309.0ms	659×	body	320	valid
96.0ms	306×	body	160	valid
18.0ms	110×	body	80	valid
8.0ms	6×	body	2560	nan
6.0ms	7×	body	1280	nan
5.0ms	2×	body	5120	nan
4.0ms	11×	body	320	nan
3.0ms	5×	body	640	nan
2.0ms	6×	body	160	nan