Details

sample320.0ms

Algorithm

intervals

Results

234.0ms	236×	body	10240	exit
36.0ms	81×	body	1280	valid
10.0ms	45×	body	640	valid
7.0ms	5×	body	2560	valid
5.0ms	39×	body	320	valid
5.0ms	165×	body	80	nan
3.0ms	68×	body	80	valid
2.0ms	1×	body	5120	valid
2.0ms	17×	body	160	valid

simplify216.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	14	3
2	16	3
3	18	3
4	19	3
5	24	3
6	44	3
7	69	3
8	169	3
9	1127	3
10	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize10.0ms

Local error

Found 1 expressions with local error:

43.8b

(fmod (cosh c) (log1p a))

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

1 → 9

Calls

1 calls:

0.0ms

(fmod (cosh c) (log1p a))

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(fmod (cosh c) (log1p a))

simplify96.0ms

Algorithm

egg-herbie

Counts

12 → 12

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	21	57
1	26	50
2	31	50
3	38	50
4	58	50
5	117	50
6	567	50
7	1852	50
8	5001	50

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 38.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(log (fmod (cosh c) (log1p a)))
0.8b	(exp (log (fmod (cosh c) (log1p a))))
43.8b	(fmod (cosh c) (log1p a))

rewrite3.0ms

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

Counts

3 → 40

Calls

3 calls:

1.0ms	(log (fmod (cosh c) (log1p a)))
1.0ms	(exp (log (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))

series27.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(log (fmod (cosh c) (log1p a)))
2.0ms	(exp (log (fmod (cosh c) (log1p a))))
2.0ms	(fmod (cosh c) (log1p a))

simplify82.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	61	260
1	87	232
2	110	226
3	158	220
4	303	220
5	741	220
6	2510	220
7	5002	220

prune130.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 38.6b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
6×	`pow1`
5×	`add-log-exp`
4×	`add-exp-log` `cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
3×	`unpow-prod-down` `pow-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 52

Calls

4 calls:

3.0ms	(pow (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))

series135.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(pow (exp (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a)))))) (cbrt (log (fmod (cosh c) (log1p a)))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify123.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	101	724
1	264	651
2	862	645
3	3881	641
4	5001	641

prune260.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 38.6b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))
43.8b	(fmod (cosh c) (log1p a))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

8×	`pow-pow`
7×	`add-sqr-sqrt` `add-cube-cbrt` `exp-prod` `*-un-lft-identity`
6×	`pow1`
4×	`add-exp-log` `cbrt-prod` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`unpow-prod-down`
1×	`pow-to-exp` `pow-unpow` `pow-exp` `log-pow` `sqr-pow`

Counts

4 → 51

Calls

4 calls:

4.0ms	(pow (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))

series134.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(pow (exp (cbrt (log (fmod (cosh c) (log1p a))))) (* (cbrt (log (fmod (cosh c) (log1p a)))) (cbrt (log (fmod (cosh c) (log1p a))))))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))
2.0ms	(fmod (cosh c) (log1p a))

simplify80.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	97	642
1	274	590
2	799	590
3	2676	590
4	5002	590

prune213.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 38.6b

regimes496.0ms

Accuracy

0% (0.1b remaining)

Error of 33.8b against oracle of 33.8b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18

end0.0ms

sample10.4s

Algorithm

intervals

Results

8.0s	7908×	body	10240	exit
1.0s	2255×	body	1280	valid
328.0ms	1522×	body	640	valid
178.0ms	162×	body	2560	valid
150.0ms	5324×	body	80	nan
116.0ms	2828×	body	80	valid
105.0ms	805×	body	320	valid
39.0ms	415×	body	160	valid
21.0ms	13×	body	5120	valid