Details

sample783.0ms

Algorithm

intervals

Results

535.0ms	236×	body	10240	exit
107.0ms	75×	body	1280	valid
71.0ms	62×	body	640	valid
15.0ms	152×	body	80	nan
11.0ms	83×	body	80	valid
7.0ms	17×	body	320	valid
7.0ms	4×	body	2560	valid
5.0ms	15×	body	160	valid

simplify17.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

16.0ms

(fmod (cosh c) (log1p a))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.2b

localize24.0ms

Local error

Found 1 expressions with local error:

40.1b

(fmod (cosh c) (log1p a))

rewrite27.0ms

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`

Counts

1 → 10

Calls

1 calls:

Slowest

26.0ms

(fmod (cosh c) (log1p a))

series10.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

10.0ms

(fmod (cosh c) (log1p a))

simplify815.0ms

Counts

13 → 13

Calls

13 calls:

Slowest

498.0ms	(* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))
104.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
29.0ms	(sqrt (fmod (cosh c) (log1p a)))
26.0ms	(exp (fmod (cosh c) (log1p a)))
25.0ms	(log (fmod (cosh c) (log1p a)))

prune197.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.2b

localize31.0ms

Local error

Found 3 expressions with local error:

40.1b	(fmod (cosh c) (log1p a))
0.9b	(log (fmod (cosh c) (log1p a)))
0.5b	(exp (log (fmod (cosh c) (log1p a))))

rewrite8.0ms

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`
3×	`expm1-log1p-u` `add-cbrt-cube` `exp-sum` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`log-pow`
1×	`rem-log-exp` `rem-exp-log`

Counts

3 → 43

Calls

3 calls:

Slowest

4.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(log (fmod (cosh c) (log1p a)))
0.0ms	(fmod (cosh c) (log1p a))

series27.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

22.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(exp (log (fmod (cosh c) (log1p a))))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.8s

Counts

56 → 52

Calls

56 calls:

Slowest

173.0ms	(exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
104.0ms	(* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))
101.0ms	(* (* (exp (log (fmod (cosh c) (log1p a)))) (exp (log (fmod (cosh c) (log1p a))))) (exp (log (fmod (cosh c) (log1p a)))))
59.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
59.0ms	(* (cbrt (exp (log (fmod (cosh c) (log1p a))))) (cbrt (exp (log (fmod (cosh c) (log1p a))))))

prune665.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 35.0b

localize27.0ms

Local error

Found 4 expressions with local error:

40.1b	(fmod (cosh c) (log1p a))
40.1b	(fmod (cosh c) (log1p a))
40.1b	(fmod (cosh c) (log1p a))
0.9b	(log (fmod (cosh c) (log1p a)))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

Slowest

1.0ms	(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))

series30.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

23.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify1.4s

Counts

59 → 57

Calls

59 calls:

Slowest

101.0ms	(* (* (log (fmod (cosh c) (log1p a))) (log (fmod (cosh c) (log1p a)))) (log (fmod (cosh c) (log1p a))))
65.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
64.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
61.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
60.0ms	(log (* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a)))))

prune1.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 34.9b

localize75.0ms

Local error

Found 4 expressions with local error:

40.1b	(fmod (cosh c) (log1p a))
40.1b	(fmod (cosh c) (log1p a))
40.1b	(fmod (cosh c) (log1p a))
40.1b	(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`

Counts

4 → 40

Calls

4 calls:

Slowest

1.0ms	(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))

series14.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

4.0ms	(fmod (cosh c) (log1p a))
4.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))
3.0ms	(fmod (cosh c) (log1p a))

simplify1.2s

Counts

52 → 52

Calls

52 calls:

Slowest

105.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
87.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
82.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
74.0ms	(* (* (fmod (cosh c) (log1p a)) (fmod (cosh c) (log1p a))) (fmod (cosh c) (log1p a)))
58.0ms	(* (cbrt (fmod (cosh c) (log1p a))) (cbrt (fmod (cosh c) (log1p a))))

prune946.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 34.9b

regimes833.0ms

Accuracy

0% (0.2b remaining)

Error of 34.7b against oracle of 34.5b and baseline of 34.7b

bsearch2.0ms

end0.0ms

sample17.9s

Algorithm

intervals

Results

13.2s	7901×	body	10240	exit
1.9s	2336×	body	1280	valid
790.0ms	1712×	body	640	valid
555.0ms	2690×	body	80	valid
473.0ms	5320×	body	80	nan
238.0ms	741×	body	320	valid
216.0ms	129×	body	2560	valid
99.0ms	383×	body	160	valid
17.0ms	9×	body	5120	valid