Details

sample856.0ms

Algorithm

intervals

Results

630.0ms	244×	body	10240	exit
71.0ms	70×	body	1280	valid
48.0ms	79×	body	80	valid
41.0ms	69×	body	640	valid
18.0ms	163×	body	80	nan
10.0ms	22×	body	320	valid
6.0ms	3×	body	2560	valid
4.0ms	13×	body	160	valid

simplify27.0ms

Calls

1 calls:

Slowest

26.0ms

(fmod (cosh c) (log1p a))

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.2b

localize25.0ms

Local error

Found 1 expressions with local error:

41.1b

(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

1×	`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`

Calls

1 calls:

Slowest

2.0ms

(fmod (cosh c) (log1p a))

series16.0ms

Calls

1 calls:

Slowest

15.0ms

(fmod (cosh c) (log1p a))

simplify34.0ms

Calls

3 calls:

Slowest

11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))

prune195.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 36.2b

localize30.0ms

Local error

Found 3 expressions with local error:

41.1b	(fmod (cosh c) (log1p a))
0.7b	(exp (log (fmod (cosh c) (log1p a))))
0.2b	(log (fmod (cosh c) (log1p a)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

6.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series30.0ms

Calls

3 calls:

Slowest

21.0ms	(log (fmod (cosh c) (log1p a)))
5.0ms	(exp (log (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))

simplify450.0ms

Calls

22 calls:

Slowest

125.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
52.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))
45.0ms	(exp (log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))))
33.0ms	(exp (sqrt (log (fmod (cosh c) (log1p a)))))
31.0ms	(log (sqrt (fmod (cosh c) (log1p a))))

prune725.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 36.0b

localize34.0ms

Local error

Found 4 expressions with local error:

41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
0.7b	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
62×	`exp-prod`
49×	`cbrt-prod`
39×	`associate-l`
30×	`unswap-sqr`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt`
14×	`associate-r`
13×	`swap-sqr`
11×	`pow1`
7×	`log-pow`
6×	`add-log-exp`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `*-commutative` `insert-posit16` `log1p-expm1-u`
1×	`exp-to-pow` `rem-exp-log`

Calls

4 calls:

Slowest

120.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series10.0ms

Calls

4 calls:

Slowest

3.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (log (fmod (cosh c) (log1p a))))))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify9.3s

Calls

76 calls:

Slowest

632.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (sqrt (cbrt (log (fmod (cosh c) (log1p a)))))))
387.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (cbrt (log (fmod (cosh c) (log1p a))))))))
338.0ms	(exp (* (* (cbrt (sqrt (log (fmod (cosh c) (log1p a))))) (sqrt (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (sqrt (log (fmod (cosh c) (log1p a)))))))
310.0ms	(exp (* (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))) (cbrt (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))))
294.0ms	(exp (* (* (cbrt (sqrt (log (fmod (cosh c) (log1p a))))) (cbrt (sqrt (log (fmod (cosh c) (log1p a)))))) (sqrt (cbrt (log (fmod (cosh c) (log1p a)))))))

prune1.4s

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 35.9b

localize43.0ms

Local error

Found 4 expressions with local error:

41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))
41.1b	(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

4×	`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`

Calls

4 calls:

Slowest

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

series13.0ms

Calls

4 calls:

Slowest

3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify104.0ms

Calls

12 calls:

Slowest

14.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
11.0ms	(fmod (cosh c) (log1p a))
10.0ms	(fmod (cosh c) (log1p a))
9.0ms	(fmod (cosh c) (log1p a))

prune808.0ms

Pruning

22 alts after pruning (20 fresh and 2 done)

Merged error: 35.9b

regimes770.0ms

Accuracy

0% (0.2b remaining)

Error of 34.4b against oracle of 34.2b and baseline of 34.4b

bsearch2.0ms

end0.0ms

sample15.7s

Algorithm

intervals

Results

11.1s	7958×	body	10240	exit
1.7s	2385×	body	1280	valid
807.0ms	2728×	body	80	valid
638.0ms	1565×	body	640	valid
633.0ms	5437×	body	80	nan
222.0ms	156×	body	2560	valid
199.0ms	748×	body	320	valid
73.0ms	410×	body	160	valid
16.0ms	8×	body	5120	valid