Details

sample876.0ms

Algorithm

intervals

Results

668.0ms	306×	body	10240	exit
78.0ms	82×	body	1280	valid
24.0ms	48×	body	640	valid
13.0ms	193×	body	80	nan
10.0ms	5×	body	2560	valid
9.0ms	28×	body	320	valid
9.0ms	82×	body	80	valid
2.0ms	11×	body	160	valid

simplify84.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize23.0ms

Local error

Found 1 expressions with local error:

40.2b

(fmod (cosh c) (log1p a))

rewrite5.0ms

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:

2.0ms

(fmod (cosh c) (log1p a))

series21.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(fmod (cosh c) (log1p a))

simplify2.2s

Counts

12 → 12

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	14	87
1	21	87
2	26	77
3	32	77
4	40	77
5	74	77
6	154	77
7	324	77
8	1030	77
done	5000	77

prune125.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.3b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
40.2b	(fmod (cosh c) (log1p a))
40.2b	(fmod (cosh c) (log1p a))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
18×	`pow1` `sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`associate-r` `associate-l`
5×	`add-exp-log` `pow-prod-up` `add-cbrt-cube`
4×	`unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 69

Calls

3 calls:

37.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
0.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series17.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (sqrt (fmod (cosh c) (log1p a))) (sqrt (fmod (cosh c) (log1p a))))
5.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify21.7s

Counts

78 → 78

Iterations

Useful iterations: done (21.7s)

Iter	Nodes	Cost
0	60	1030
1	121	654
2	457	572
3	4433	545
done	5000	523

prune393.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 35.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
0.0b	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
40.2b	(fmod (cosh c) (log1p a))
40.2b	(fmod (cosh c) (log1p a))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

87×	`sqrt-prod`
66×	`add-sqr-sqrt`
27×	`unpow-prod-down` `cube-prod`
24×	`associate-r` `unswap-sqr`
21×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log`
9×	`associate-l`
8×	`pow1`
7×	`add-cbrt-cube`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `prod-exp`
2×	`cube-mult` `pow-to-exp` `pow1/2` `unpow3` `pow-exp`
1×	`*-commutative` `pow-prod-up` `sqrt-pow2` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 132

Calls

4 calls:

69.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
9.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
0.0ms	(fmod (cosh c) (log1p a))
0.0ms	(fmod (cosh c) (log1p a))

series131.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (sqrt (sqrt (fmod (cosh c) (log1p a)))) (pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3))
113.0ms	(pow (sqrt (sqrt (fmod (cosh c) (log1p a)))) 3)
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify5.9s

Counts

144 → 144

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	108	2687
1	302	2350
2	1992	1917
done	5001	1584

prune932.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.3b

localize48.0ms

Local error

Found 4 expressions with local error:

0.7b	(exp (* (log (sqrt (sqrt (fmod (cosh c) (log1p a))))) 3))
1.0b	(log (sqrt (sqrt (fmod (cosh c) (log1p a)))))
40.2b	(fmod (cosh c) (log1p a))
40.2b	(fmod (cosh c) (log1p a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

9×	`log-prod` `sqrt-prod`
7×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`expm1-log1p-u` `sqrt-pow1` `add-cbrt-cube` `log1p-expm1-u`
2×	`pow1/2`
1×	`exp-lft-cube` `exp-prod` `exp-to-pow` `rem-log-exp` `rem-exp-log`

Counts

4 → 55

Calls

4 calls:

10.0ms	(exp (* (log (sqrt (sqrt (fmod (cosh c) (log1p a))))) 3))
7.0ms	(log (sqrt (sqrt (fmod (cosh c) (log1p a)))))
1.0ms	(fmod (cosh c) (log1p a))
1.0ms	(fmod (cosh c) (log1p a))

series266.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(exp (* (log (sqrt (sqrt (fmod (cosh c) (log1p a))))) 3))
131.0ms	(log (sqrt (sqrt (fmod (cosh c) (log1p a)))))
6.0ms	(fmod (cosh c) (log1p a))
6.0ms	(fmod (cosh c) (log1p a))

simplify1.3s

Counts

67 → 67

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	67	694
1	97	623
2	157	573
3	371	564
4	1204	562
done	5000	561

prune600.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 35.2b

regimes1.2s

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	18	21
done	18	21

end0.0ms

sample23.7s

Algorithm

intervals

Results

17.8s	7763×	body	10240	exit
2.3s	2316×	body	1280	valid
784.0ms	1572×	body	640	valid
524.0ms	5184×	body	80	nan
385.0ms	160×	body	2560	valid
271.0ms	784×	body	320	valid
256.0ms	2751×	body	80	valid
88.0ms	409×	body	160	valid
24.0ms	8×	body	5120	valid