Details

sample631.0ms

Algorithm

intervals

Results

480.0ms	250×	body	10240	exit
53.0ms	66×	body	1280	valid
23.0ms	56×	body	640	valid
11.0ms	37×	body	320	valid
9.0ms	4×	body	2560	valid
9.0ms	143×	body	80	nan
6.0ms	75×	body	80	valid
3.0ms	18×	body	160	valid

simplify14.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	5
1	11	5
2	14	5
3	16	5
done	16	5

prune47.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.3b

localize14.0ms

Local error

Found 1 expressions with local error:

42.0b

(fmod (cosh c) (log1p a))

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

1 → 7

Calls

1 calls:

1.0ms

(fmod (cosh c) (log1p a))

series12.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

(fmod (cosh c) (log1p a))

simplify2.3s

Counts

10 → 10

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	12	75
1	19	75
2	24	65
3	30	65
4	36	65
5	46	65
6	67	65
7	145	65
8	430	65
9	1839	65
done	5001	65

prune74.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 37.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.7b	(exp (log (fmod (cosh c) (log1p a))))
0.7b	(log (fmod (cosh c) (log1p a)))
42.0b	(fmod (cosh c) (log1p a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 34

Calls

3 calls:

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

series37.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(exp (log (fmod (cosh c) (log1p a))))
30.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify4.5s

Counts

43 → 43

Iterations

Useful iterations: 4 (41.0ms)

Iter	Nodes	Cost
0	38	384
1	54	347
2	68	301
3	86	301
4	126	295
5	210	295
6	425	295
7	1201	295
8	4492	295
done	5000	295

prune181.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 37.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
0.7b	(log (fmod (cosh c) (log1p a)))
42.0b	(fmod (cosh c) (log1p a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

17×	`exp-prod`
14×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
8×	`unpow-prod-down` `cube-prod`
6×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `rem-log-exp` `pow-exp` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 69

Calls

4 calls:

6.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
32.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
2.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(fmod (cosh c) (log1p a))

series82.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
6.0ms	(exp (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
25.0ms	(log (fmod (cosh c) (log1p a)))
3.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

81 → 81

Iterations

Useful iterations: 3 (637.0ms)

Iter	Nodes	Cost
0	79	864
1	135	699
2	324	612
3	2071	606
done	5000	606

prune325.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 37.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (log (fmod (cosh c) (log1p a))) 3)
0.7b	(log (fmod (cosh c) (log1p a)))
0.8b	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
42.0b	(fmod (cosh c) (log1p a))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow-unpow`
14×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `unpow-prod-down`
8×	`cube-prod`
7×	`add-exp-log`
5×	`log-pow` `add-cbrt-cube`
4×	`add-log-exp`
3×	`log-prod` `pow-exp` `sqr-pow`
2×	`cube-mult` `pow-to-exp` `pow-pow` `unpow3`
1×	`e-exp-1` `rem-log-exp` `rem-cube-cbrt`

Counts

4 → 76

Calls

4 calls:

3.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
1.0ms	(log (fmod (cosh c) (log1p a)))
12.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
0.0ms	(fmod (cosh c) (log1p a))

series184.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(pow (log (fmod (cosh c) (log1p a))) 3)
28.0ms	(log (fmod (cosh c) (log1p a)))
84.0ms	(pow E (cbrt (pow (log (fmod (cosh c) (log1p a))) 3)))
4.0ms	(fmod (cosh c) (log1p a))

simplify3.7s

Counts

88 → 88

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	92	1036
1	178	822
2	470	712
3	2730	706
done	5000	694

prune746.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 37.2b

regimes535.0ms

Accuracy

0% (0.0b remaining)

Error of 34.3b against oracle of 34.3b and baseline of 34.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	14
1	15	14
2	17	14
done	17	14

end0.0ms

sample19.3s

Algorithm

intervals

Results

13.9s	7892×	body	10240	exit
1.8s	2327×	body	1280	valid
1.1s	1543×	body	640	valid
496.0ms	5172×	body	80	nan
403.0ms	2757×	body	80	valid
242.0ms	142×	body	2560	valid
180.0ms	781×	body	320	valid
72.0ms	441×	body	160	valid
25.0ms	9×	body	5120	valid