Details

sample892.0ms

Algorithm

intervals

Results

634.0ms	229×	body	10240	exit
89.0ms	63×	body	1280	valid
86.0ms	55×	body	640	valid
18.0ms	168×	body	80	nan
17.0ms	98×	body	80	valid
9.0ms	23×	body	320	valid
7.0ms	3×	body	2560	valid
4.0ms	14×	body	160	valid

simplify26.0ms

Calls

1 calls:

Slowest

25.0ms

(fmod (cosh c) (log1p a))

prune48.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize26.0ms

Local error

Found 2 expressions with local error:

36.8b	(fmod (cosh c) (log1p a))
0.0b	(log1p a)

rewrite4.0ms

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`

Calls

2 calls:

Slowest

2.0ms	(fmod (cosh c) (log1p a))
0.0ms	(log1p a)

series19.0ms

Calls

2 calls:

Slowest

16.0ms	(fmod (cosh c) (log1p a))
2.0ms	(log1p a)

simplify22.0ms

Calls

6 calls:

Slowest

8.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))
5.0ms	(fmod (cosh c) (log1p a))
1.0ms	(log1p a)
1.0ms	(log1p a)

prune294.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 31.7b

localize25.0ms

Local error

Found 4 expressions with local error:

36.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))
0.6b	(cbrt (log1p a))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Calls

4 calls:

Slowest

2.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
1.0ms	(cbrt (log1p a))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

series504.0ms

Calls

4 calls:

Slowest

168.0ms	(cbrt (log1p a))
167.0ms	(cbrt (log1p a))
163.0ms	(cbrt (log1p a))
5.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (cbrt (log1p a))) (cbrt (log1p a))))

simplify110.0ms

Calls

21 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(pow (log1p a) 1/3)
8.0ms	(pow (log1p a) 1/3)
7.0ms	(fmod (cosh c) (log1p a))
7.0ms	(cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))

prune822.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 31.0b

localize19.0ms

Local error

Found 4 expressions with local error:

36.7b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))
0.6b	(cbrt (cbrt (log1p a)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`pow1/3`

Calls

4 calls:

Slowest

1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
1.0ms	(cbrt (cbrt (log1p a)))
0.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series476.0ms

Calls

4 calls:

Slowest

171.0ms	(cbrt (cbrt (log1p a)))
160.0ms	(cbrt (cbrt (log1p a)))
142.0ms	(cbrt (cbrt (log1p a)))
3.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify174.0ms

Calls

30 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
9.0ms	(fmod (cosh c) (log1p a))
9.0ms	(cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a)))))
8.0ms	(cbrt (cbrt (* (cbrt (log1p a)) (cbrt (log1p a)))))
8.0ms	(cbrt (cbrt 1))

prune1.2s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 30.5b

localize40.0ms

Local error

Found 4 expressions with local error:

36.8b	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))
0.6b	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
0.6b	(cbrt (cbrt (cbrt (log1p a))))
0.6b	(cbrt (cbrt (cbrt (log1p a))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

72×	`cbrt-prod`
18×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l`
9×	`pow1`
6×	`pow1/3` `add-exp-log`
4×	`add-cbrt-cube` `insert-posit16` `add-log-exp`
2×	`pow-prod-down` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

17.0ms	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
2.0ms	(cbrt (cbrt (cbrt (log1p a))))
1.0ms	(cbrt (cbrt (cbrt (log1p a))))
1.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

series500.0ms

Calls

4 calls:

Slowest

181.0ms	(* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a)))))
180.0ms	(cbrt (cbrt (cbrt (log1p a))))
136.0ms	(cbrt (cbrt (cbrt (log1p a))))
4.0ms	(fmod (cosh c) (* (* (cbrt (log1p a)) (* (* (cbrt (cbrt (log1p a))) (* (* (cbrt (cbrt (cbrt (log1p a)))) (cbrt (cbrt (cbrt (log1p a))))) (cbrt (cbrt (cbrt (log1p a)))))) (cbrt (cbrt (log1p a))))) (cbrt (log1p a))))

simplify381.0ms

Calls

62 calls:

Slowest

11.0ms	(cbrt (cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a))))))
11.0ms	(cbrt (cbrt (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
11.0ms	(cbrt (cbrt (* (cbrt (cbrt (log1p a))) (cbrt (cbrt (log1p a))))))
11.0ms	(cbrt (cbrt (cbrt (* (cbrt (log1p a)) (cbrt (log1p a))))))
10.0ms	(pow (pow (log1p a) 2) 1/27)

prune1.6s

Pruning

44 alts after pruning (44 fresh and 0 done)

Merged error: 30.0b

regimes1.9s

Accuracy

0% (2.3b remaining)

Error of 33.4b against oracle of 31.2b and baseline of 33.4b

bsearch4.0ms

end0.0ms

sample18.2s

Algorithm

intervals

Results

13.5s	7675×	body	10240	exit
2.1s	2291×	body	1280	valid
712.0ms	1541×	body	640	valid
498.0ms	5257×	body	80	nan
350.0ms	2840×	body	80	valid
265.0ms	756×	body	320	valid
230.0ms	152×	body	2560	valid
85.0ms	409×	body	160	valid
22.0ms	11×	body	5120	valid