Details

sample124.0ms

Algorithm

intervals

Results

48.0ms	105×	body	1280	valid
26.0ms	86×	body	640	valid
19.0ms	256×	body	80	valid
10.0ms	46×	body	320	valid
3.0ms	18×	body	160	valid

simplify13.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	15	7
2	30	7
3	67	7
4	137	7
5	265	7
6	482	7
7	1041	7
8	1987	7
9	3484	7
10	4730	7
done	5000	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (sin x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-l` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

21.0ms	(* (sin x) (/ (sinh y) y))
13.0ms	(/ (sinh y) y)
2.0ms	(sinh y)

series376.0ms

Counts

3 → 9

Calls

3 calls:

135.0ms	(* (sin x) (/ (sinh y) y))
129.0ms	(/ (sinh y) y)
112.0ms	(sinh y)

simplify3.0s

Counts

83 → 83

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	146	764
1	337	716
2	1073	650
3	3692	649
done	5000	648

prune293.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (sinh y) y) (sin x))
0.0b	(/ (sinh y) y)
0.0b	(sinh y)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
3×	`expm1-log1p-u` `associate-r` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`cbrt-undiv` `sinh-def` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

3 → 74

Calls

3 calls:

25.0ms	(* (/ (sinh y) y) (sin x))
14.0ms	(/ (sinh y) y)
3.0ms	(sinh y)

series325.0ms

Counts

3 → 9

Calls

3 calls:

124.0ms	(* (/ (sinh y) y) (sin x))
109.0ms	(/ (sinh y) y)
92.0ms	(sinh y)

simplify2.5s

Counts

83 → 83

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	147	747
1	343	711
2	952	643
3	3184	642
done	5000	629

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(sinh y)
0.0b	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
66×	`sqrt-prod`
60×	`times-frac`
52×	`add-cube-cbrt` `*-un-lft-identity`
19×	`pow1`
18×	`swap-sqr`
16×	`associate-r` `associate-l`
10×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2`
6×	`associate-/r` `div-inv` `associate-/l`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`sinh-def` `pow-prod-down` `pow-sqr`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`pow2` `frac-times` `pow-plus` `sqrt-unprod` `associate-r/` `associate-l/` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 159

Calls

4 calls:

2.0ms	(sinh y)
42.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
13.0ms	(/ (sinh y) y)
13.0ms	(/ (sinh y) y)

series473.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(sinh y)
117.0ms	(* (sqrt (/ (sinh y) y)) (sqrt (/ (sinh y) y)))
153.0ms	(/ (sinh y) y)
109.0ms	(/ (sinh y) y)

simplify1.7s

Counts

171 → 171

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	252	2294
1	528	1657
2	1781	1543
done	5000	1507

prune658.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (expm1 (log1p (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(expm1 (log1p (/ (sinh y) y)))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
30×	`add-cube-cbrt` `*-un-lft-identity`
29×	`times-frac`
23×	`sqrt-prod`
16×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`associate-l` `associate-/r` `associate-/l` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `div-inv`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `sqrt-pow1` `pow1/2` `div-exp` `clear-num` `associate-/l/`
1×	`expm1-log1p` `sqrt-unprod` `sqrt-div` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod` `expm1-udef`

Counts

4 → 116

Calls

4 calls:

38.0ms	(* (sqrt (expm1 (log1p (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
8.0ms	(/ (sinh y) y)
8.0ms	(/ (sinh y) y)
0.0ms	(expm1 (log1p (/ (sinh y) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

695.0ms	(* (sqrt (expm1 (log1p (/ (sinh y) y)))) (sqrt (/ (sinh y) y)))
153.0ms	(/ (sinh y) y)
122.0ms	(/ (sinh y) y)
493.0ms	(expm1 (log1p (/ (sinh y) y)))

simplify1.4s

Counts

128 → 128

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	215	1703
1	481	1343
2	1504	1179
done	5000	1138

prune512.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes60.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	13	16
done	13	16

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.8s	2946×	body	1280	valid
1.8s	8559×	body	80	valid
1.1s	2370×	body	640	valid
441.0ms	1305×	body	320	valid
144.0ms	599×	body	160	valid