Details

sample734.0ms

Algorithm

intervals

Results

556.0ms	241×	body	10240	exit
83.0ms	71×	body	1280	valid
18.0ms	43×	body	640	valid
10.0ms	169×	body	80	nan
8.0ms	98×	body	80	valid
8.0ms	28×	body	320	valid
7.0ms	3×	body	2560	valid
3.0ms	13×	body	160	valid

simplify48.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh c)
36.3b	(fmod (cosh c) (log1p a))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 15

Calls

2 calls:

4.0ms	(cosh c)
2.0ms	(fmod (cosh c) (log1p a))

series121.0ms

Counts

2 → 6

Calls

2 calls:

102.0ms	(cosh c)
18.0ms	(fmod (cosh c) (log1p a))

simplify2.5s

Counts

21 → 21

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	40	141
1	73	140
2	186	126
3	634	126
4	3072	126
done	5001	126

prune133.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 32.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cosh c)
0.0b	(cosh c)
0.0b	(* (sqrt (cosh c)) (sqrt (cosh c)))
36.3b	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`pow1`
18×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
6×	`add-exp-log` `cosh-def` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`sqrt-div` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cosh c)
1.0ms	(cosh c)
16.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
0.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

series229.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(cosh c)
53.0ms	(cosh c)
86.0ms	(* (sqrt (cosh c)) (sqrt (cosh c)))
3.0ms	(fmod (* (sqrt (cosh c)) (sqrt (cosh c))) (log1p a))

simplify3.1s

Counts

87 → 87

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	88	818
1	170	501
2	514	459
3	2709	450
done	5000	447

prune251.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp (log (cosh c)))) (sqrt (cosh c)))
0.0b	(exp (log (cosh c)))
4.2b	(log (cosh c))
36.3b	(fmod (* (sqrt (exp (log (cosh c)))) (sqrt (cosh c))) (log1p a))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`sqrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`log-prod`
10×	`pow1`
9×	`associate-l`
8×	`exp-sum`
7×	`add-exp-log`
6×	`cosh-def` `associate-r` `add-cbrt-cube` `unswap-sqr`
4×	`log-div` `exp-prod` `sqrt-div` `add-log-exp`
3×	`exp-diff` `pow-prod-down`
2×	`sqrt-pow1` `pow1/2` `log-pow`
1×	`frac-times` `sqrt-unprod` `associate-r/` `rem-log-exp` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod` `rem-exp-log`

Counts

4 → 74

Calls

4 calls:

58.0ms	(* (sqrt (exp (log (cosh c)))) (sqrt (cosh c)))
7.0ms	(exp (log (cosh c)))
3.0ms	(log (cosh c))
1.0ms	(fmod (* (sqrt (exp (log (cosh c)))) (sqrt (cosh c))) (log1p a))

series405.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (sqrt (exp (log (cosh c)))) (sqrt (cosh c)))
68.0ms	(exp (log (cosh c)))
267.0ms	(log (cosh c))
4.0ms	(fmod (* (sqrt (exp (log (cosh c)))) (sqrt (cosh c))) (log1p a))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	123	932
1	236	620
2	846	505
done	5001	495

prune403.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 32.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (log (cosh c)))
0.3b	(exp (log (log (cosh c))))
4.2b	(log (cosh c))
36.3b	(fmod (* (sqrt (exp (exp (log (log (cosh c)))))) (sqrt (cosh c))) (log1p a))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`pow1`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
5×	`log-pow`
4×	`exp-prod` `exp-sum` `add-cbrt-cube` `add-log-exp`
2×	`rem-log-exp`
1×	`log-div` `cosh-def` `rem-exp-log`

Counts

4 → 49

Calls

4 calls:

3.0ms	(log (log (cosh c)))
7.0ms	(exp (log (log (cosh c))))
3.0ms	(log (cosh c))
1.0ms	(fmod (* (sqrt (exp (exp (log (log (cosh c)))))) (sqrt (cosh c))) (log1p a))

series824.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(log (log (cosh c)))
259.0ms	(exp (log (log (cosh c))))
249.0ms	(log (cosh c))
7.0ms	(fmod (* (sqrt (exp (exp (log (log (cosh c)))))) (sqrt (cosh c))) (log1p a))

simplify968.0ms

Counts

61 → 61

Iterations

Useful iterations: done (965.0ms)

Iter	Nodes	Cost
0	95	572
1	166	482
2	383	394
3	1243	394
done	5001	388

prune288.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 32.0b

regimes393.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	14
1	13	14
done	13	14

end0.0ms

sample19.2s

Algorithm

intervals

Results

14.1s	7746×	body	10240	exit
1.8s	2250×	body	1280	valid
1.2s	1606×	body	640	valid
339.0ms	5172×	body	80	nan
325.0ms	2830×	body	80	valid
232.0ms	785×	body	320	valid
205.0ms	131×	body	2560	valid
64.0ms	388×	body	160	valid
24.0ms	10×	body	5120	valid